How do you find the missing angle of a 90 degree triangle?

Answers

Answer 1

There are 2 ways to find the missing angle of a 90-degree triangle. First, the sum of the 3 angles of the triangle, and second, trigonometry.

In total, the sum of all the angles of a triangle is 180 degree

First way.

If we have 2 of 3 of the angles, we can add that 2 angles and then subtract by 180 (The total of the angle of a triangle)

For example, we have 90 degrees & 40 degrees. We need to know another angle

So, Angle A + Angle  B + Angle C = 180

       40 + 90 + C = 180

       130 + C = 180

       C = 180 – 130 = 50

Second way.

The right-angled triangle has the exact angle which is 90 degrees

And if we have the length of at least 2 sides of the triangle, we can use trigonometry for this case. Don’t forget, if we look for the angle always use the power -1 (\(x^{-1}\))  on sin, cos, or tan

The formula is

\(Sin^{-1} (\frac{opposite}{hypotenuse})\)\(Cos^{-1}(\frac{adjacent}{hypotenuse})\)\(Tan^{-1}(\frac{opposite}{adjacent})\)

The hypotenuse is the longest side of a right-angled triangle or the opposite of the right-angled

Adjacent is the side that connects to the right-angled and the angle that we looking for

The opposite is the side on the opposite angle we looking for

Example

we have the length of adjacent and hypotenuse, the formula is \(Cos^{-1}(\frac{adjacent}{hypotenuse})\)

the length of adjacent = 10 cm

the length of hypotenuse = 15 cm

the angle of "X" = \(Cos^{-1}(\frac{10}{15})\)  *you can use your calculator

Hence, to find the missing angle of a 90 degree triangle, we can use the total of all angles or use the trigonometry.

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How Do You Find The Missing Angle Of A 90 Degree Triangle?
How Do You Find The Missing Angle Of A 90 Degree Triangle?

Related Questions

a car traveled 63 miles on 3 gallons of gas. what proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? startfraction 3 over 63 endfraction

Answers

Answer:

m=21g g being gallons

21 times 7 = 147

Step-by-step explanation:

Calculate the area of the parallelogram whose vertices are (-1, -2), (3,6), (5,0), (9,8)

Answers

The area of the parallelogram whose vertices are (-1, -2), (3,6), (5,0), (9,8) is 16 square units

The vertices of the parallelogram are (-1, -2), (3,6), (5,0), (9,8).Let's first find the height of the parallelogram by subtracting the y-coordinate of the vertex (-1, -2) from the y-coordinate of the vertex (3, 6).Height = 6 - (-2) = 8Now, let's find the length of the base of the parallelogram by subtracting the x-coordinate of the vertex (3, 6) from the x-coordinate of the vertex (5, 0).

Length = 5 - 3 = 2Area of the parallelogram can be found using the following formula:Area = Base × HeightArea = 2 × 8Area = 16

When given the coordinates of four vertices of a parallelogram, we can calculate the area of the parallelogram using coordinate geometry. In this case, we can find the area of the parallelogram whose vertices are (-1, -2), (3,6), (5,0), (9,8) using the following steps:

First, we can find the height of the parallelogram by subtracting the y-coordinate of one vertex from the y-coordinate of the other vertex. We can use the vertices (-1, -2) and (3, 6) to find the height of the parallelogram.

Height = 6 - (-2) = 8Then, we can find the length of the base of the parallelogram by subtracting the x-coordinate of one vertex from the x-coordinate of the other vertex.

We can use the vertices (3, 6) and (5, 0) to find the length of the base. Length = 5 - 3 = 2Finally, we can use the formula for the area of a parallelogram to find the area of the parallelogram.

The formula for the area of a parallelogram is Area = Base × Height. Area = 2 × 8 = 16 square units. Therefore, the area of the parallelogram whose vertices are (-1, -2), (3,6), (5,0), (9,8) is 16 square units.

Therefore, the area of the parallelogram whose vertices are (-1, -2), (3,6), (5,0), (9,8) is 16 square units.

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the equilibrium price is the price at which the quantity

Answers

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

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A report states that the mean household income last year for a certain rural county was $46,200 and the median was $54,500. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric

Answers

Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Answers

This is your perfect answer
Write a quadratic function in vertex form whose graph has the vertex (5, 1) and passes through the point

Can anyone answer this question for me. i need this immediately

Can anyone answer this question for me. i need this immediately

Answers

Answer:

the second one

Step-by-step explanation:

05) is called alpha (α). If the probability (i.e., p-value) is less than alpha that we would obtain a sample mean this large or larger from the null population, we reject the null hypothesis and conclude that our sample was drawn from a different population with a sample mean larger than the null mean.

evaluate the definite integral.
π/16
∫ cos (8x) sin(sin (8x) dx
0

Answers

(-cos(1))/8 + 1/8, which is approximately equal to 0.075.

To evaluate this definite integral, we can use the substitution u = sin(8x), which means that du/dx = 8cos(8x). We can rearrange this to get dx = du/(8cos(8x)).

Using this substitution, we can rewrite the integral as:
∫ cos(8x)sin(sin(8x))dx = ∫ sin(u)du/8

Now we can integrate with respect to u:
∫ sin(u)du/8 = (-cos(u))/8 + C

Substituting back in for u and evaluating from 0 to π/16:
(-cos(sin(8π/16)))/8 + cos(sin(0))/8 = (-cos(1))/8 + 1/8

So the final answer to the definite integral is:
(-cos(1))/8 + 1/8, which is approximately equal to 0.075.

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Point , j located at (2,7) is rotated 90° counterclockwise about (-1,-3). What is the y- coordinate of 1'? А 9 B 0 C -11 D-9​

Answers

Answer: the answer is 0

Step-by-step explanation:

10= -3y+5.8
find y

Extra point to brainliest and thanks for answering :)

Answers

Answer:

y = 14

Step-by-step explanation:

Answer:

-1.4

Step-by-step explanation:

substitute 10 and -3y

so it should look like -3y=10-5.8

then simplify so its -3y=4.2

divide both sides by -3 and you get y = 4.2/-3

multiply both the numerator and denominator by 10 and you get                  y= 42/-30

reduce the fraction to lowest terms by extracting and canceling out 6.

you end up with - 7/5 which simplifies to -1.4 so y = -1.4

For each ordered pair determine whether it’s a solution to
Y=6x-4

For each ordered pair determine whether its a solution to Y=6x-4

Answers

Answer:

The answer is in the image

Step-by-step explanation:

For each ordered pair determine whether its a solution to Y=6x-4

In class Activity 002 Create a script that will 1) Generate 1000 random numbers. (Use randn function to have a normal distribution) 2) Count how many numbers are <-025, >=-0.25 & <=0.25, and >0.25. 3) Also, save numbers that fall into each category in variables A, B, and C (A: numbers less than or equal to -0.25, B: numbers between -0.25 and 0.25, C numbers larger than or equal to 0.25) 4) Generate text files that will contain A, B, and C.

Answers

The Python script generates 1000 random numbers from a normal distribution, counts the numbers in different categories, saves them in variables A, B, and C, and creates corresponding text files.

Here's a Python script that fulfills the requirements:

import numpy as np

# Step 1: Generate 1000 random numbers with a normal distribution

random_numbers = np.random.randn(1000)

# Step 2: Count the numbers in each category

count_A = np.sum(random_numbers < -0.25)

count_B = np.sum((random_numbers >= -0.25) & (random_numbers <= 0.25))

count_C = np.sum(random_numbers > 0.25)

# Step 3: Save numbers in variables A, B, and C

A = random_numbers[random_numbers < -0.25]

B = random_numbers[(random_numbers >= -0.25) & (random_numbers <= 0.25)]

C = random_numbers[random_numbers > 0.25]

# Step 4: Generate text files for A, B, and C

np.savetxt('numbers_A.txt', A)

np.savetxt('numbers_B.txt', B)

np.savetxt('numbers_C.txt', C)

# Display the counts

print("Count of numbers less than -0.25:", count_A)

print("Count of numbers between -0.25 and 0.25:", count_B)

print("Count of numbers larger than 0.25:", count_C)

Make sure to have NumPy library installed in your Python environment to run this script successfully. After executing the script, it will generate three text files named "numbers_A.txt", "numbers_B.txt", and "numbers_C.txt" containing the numbers falling into each respective category. The script will also display the count of numbers in each category.

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2. You rent a car and are offered 2 payment options. You can pay $25 a day plus $0.15 a mile
(option A) or you can pay $10 a day plus $0.40 a mile (option B). For what amount of daily miles
will option A be the cheaper plan?

Answers

Answer:

>60

Step-by-step explanation:

The difference in miles is 0.25 per mile. Because there is 15$ difference in initial payment then after 60 miles (60x0.25=$15) A will be better option. At $60 A and B are same and lower than B is better

The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False

Answers

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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HELP PLEASE PLEASEEEEEEEE!!!!!

HELP PLEASE PLEASEEEEEEEE!!!!!

Answers

can you take a picture of it on a table

Candace is trying to figure out how tall her apple tree is. She is Sft 6in and her shadow is 10ft, while the apple tree's shadow is 32lt, at the same time of day. Using that information, approximately how tall is the apple tree?

Answers

Answer:

b

Step-by-step explanation:

The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?

Answers

Answer: 1.65 × 10⁻³

Step-by-step explanation: hope this helps!!!

1 pts
A box with an open top is formed by cutting squares
out of the corners of a rectangular piece of cardboard
and then folding up the sides. If x represents the
length of the side of the square cut from each corner,
and if the original piece of cardboard is 15 inches by
13 inches, what size square must be cut if the volume
of the box is to be 189 cubic inches?
Use: length: (15-2x)
Width: (132z)
Height: x

Answers

The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.

What is square?

Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.

Given:

Length = 15 - 2x

Width = 13 - 2x

So, volume = lwh

189 = (15- 2x) (13 -2x) x

189 = (195 - 30x - 26x + 4x²)x

195x -56x² + 4x³ = 189

4x³ - 56x² + 195x - 189 = 0

On solving the cubic equation we get

x= 1.69, 3 and 9.3

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Please help me out!! Show your work:()

Please help me out!! Show your work:()

Answers

Answer:

23.6

Step-by-step explanation:

A=1/2abSinC

A=1/2*6*8*Sin80

= 24 * Sin 80

=23.635

Not sure if this is 100% correct Sowwie

name a chord shown in this diagram.

name a chord shown in this diagram.

Answers

Answer:

R to S

Step-by-step explanation:

Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25


(a) What does the 1.3 represent in this context? Give units.


(b) What is the continuous growth rate of users per year?


(c) What is the annual percent growth rate of users per year?


(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.

Answers

Answer:

A) 1.3 represents the number of foodbank users in thousands in the year 2006

B) 0.81 per year

C) 124.79%

D) the doubling rate is less than a year.

Step-by-step explanation:

A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands

Thus, in 2006,t = 0.

So, N(0) = 1.3e^(0.81 × 0)

N(0) = 1.3

Thus,1.3 represents the number of foodbank users in thousands in the year 2006

B) From the question, we see that the continuous growth rate is 0.81t.

This is 0.81 per year

C) The exponent of the growth rate is e^(0.81t).

Thus gives; 2.2479^(t)

This means the annual growth factor for each year is 2.2479.

Thus,annual percent growth rate is;

(2.2479 - 1) × 100% = 124.79%

D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.

find range (R):27,12,15,21,24,9​

Answers

27-9= 18

Have a nice day!

Answer:

18

Step-by-step explanation:

The range is the highest data minus the smallest data.

Hence range is 27 - 9 = 18.

4. Two companies plant roses for new residential communities.
Roses Galore has the equation (r = 175 + 12 (1 - 10)
Blooming Petals has the equation Cb = 125 + 14 01 - 8)
Find the number of roses for which the cost is the same for both companies. Show your
work.

please help with #4. Thank you

4. Two companies plant roses for new residential communities.Roses Galore has the equation (r = 175 +

Answers

Answer:

Answer: 21

Step-by-step explanation:

If cost is the same

\({ \rm{C_{r} =C _{b} }} \\ \\ { \rm{175 + 12(n - 10) = 125 + 14(n - 8)}} \\ \\ { \rm{50 + 12n - 120 = 14n - 112}} \\ \\ { \rm{n = 21}}\)

I WILL GET A ZERO IF I DONT GET THIS RIGHT A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK

Answers

Answer:

What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.

Step-by-step explanation:

Which equation has the same solution as
x2+4x-13=-7

Answers

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

I agree with the top answer because he explained it very well

What is the factored form of n2 – 25?

Answers

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

2.
Ella is baking apple muffins for the Student
Council bake sale. The recipe that she is using
calls for 2 eggs per dozen muffins, and she
needs to make 108 muffins. How many eggs
will she need?

Answers

She’ll need 18 eggs.

2 eggs = 12 (dozen) muffins

108 muffins (needed) / 12 muffins

= 9 groups of 12 muffins

so therefore 2eggs x 9 groups of muffins = 18 eggs

Answer:

18 eggs

Step by step explanation is given above.

2.Ella is baking apple muffins for the StudentCouncil bake sale. The recipe that she is usingcalls for

Help now please !!!!

Help now please !!!!

Answers

Answer:

Im sorry if you get this wrong but it should be the opposite like -3, -2 since its going on the other side for the y axis?

Step-by-step explanation:

In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black person has been given the death penalty by an all-white jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurors are white when the population is (a) 90% white and (b) 50% white.

Answers

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

\(P(w=12) = p(w)^{12}\)

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

\(P(w=12) = 0.90^{12}\\P(w=12) =0.2824\)

The probability is 0.2824.

(b) for p = 0.50

\(P(w=12) = 0.50^{12}\\P(w=12) =0.0002441\)

The probability is 0.0002441.

The graph represents the purchasing power of your
income if the inflation rate is eight percent.
What is your current monthly income, if your
purchasing power is $2,300?

Answers

Your current monthly income, before the effect of inflation, is approximately $2,129.63.

To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.

Let's denote your current monthly income as "X."

The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.

Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:

Original Income = $2,300 / (1 + 0.08)

Original Income = $2,300 / 1.08

Original Income ≈ $2,129.63

Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.

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plz help with these ill post more with more points

plz help with these ill post more with more points
plz help with these ill post more with more points

Answers

Answer:

I think it is D I'm not sure

Step-by-step explanation:

If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV

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A survey at the end of each quarter show that 200 students were satisfied with the text in the fall, 150 in the winter, and 160 in the spring, respectvelt. a. if a student who took statistics during one of these there quarters is selected at random, what is the probability that the student is satisfied with text book? b. if a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by A What is the decimal multiplier to decrease by 39% 2 Mg + O2(g) ---> 2 MgOWhat is the limiting reactant if 2.2 g of Mg is reacted with 4.5 L of oxygen at STP?volume of 1 mol in STP = 22.4 L in a classical three-movement symphony, what is the tempo for each movement? One of the functions of a(n) ________ is that it is a spawning ground for emerging values that keep the firm aligned with the needs of customers, suppliers, society, and other stakeholders. when was the Oklahoma national guard mobilized and renamed the 45th infantry The phoenix firm has $756 to distribute to it's employees as a gift. how much money will each employee get? Solve the equation after making an appropriate substitution x - 38x + 72 = 0 Determine the appropriate substitution using the new variable u:Write the new quadratic equation using the variable u: An actor invests some money at 7%, and $24000 more than three times the amount at 11%. The total annual interest earned from the investment is $27040. How much did he invest at each amount? Use the six-step method. whicg of the following was an effect of the boston massacre Exercise 1 Write run-on next to each run-on sentence.Pulitzers career was ended by his failing health he had paved the way for future journalists. Which two phrases most strongly support the idea that lucene and hallax were initially resistant to their father getting a new job? beginning a new life lucene's family quickly decided to move away from lunapolis because her father was newly-hired as the chief engineer of a time machine building lab in solariz city. initially, both lucene and her brother hallax had protested the move, and they had even unsuccessfully attempted to stay back in lunapolis with their grandparents. now that they were at solariz city, lucene's parents tried to cheer up lucene and hallax by insisting that everyone have dinner together in the dome-shaped chamber instead of eating alone in their respective pods. her father had even managed to get part-time jobs for the siblings. that night, lucene wanted to retire to her sleeping pod early. she didn't want to arrive late on the first day at her new job. she always felt that not being on time was a sign of disrespect. after dinner though, lucene ended up on the floating balcony of her new home. standing on her balcony, she intently observed the view. she could still see people returning homes in their flying cars. solariz city was like no other settlement that lucene had seen before. the skyline beamed with towers topped with gold-colored domes. lucene soon went to sleep thinking about whether she would like working at the time machine lab the way her father did. the next day, lucene joined her father at the lab. she listened in awe as he explained the functions of the machine to her. when her father was done, lucene decided to take a tour of the lab. with every room lucene explored, she began to wonder about all the things she could learn about her family's history Which United States president began the tradition of the State of the Union address? A. James Madison B. Woodrow Wilson C. Thomas Jefferson D. George Washington