9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
I can't figure this one out| geometry Classifying and Solving for Side/Angles in Triangles
Answer:
use Pythagorean theorem (a^2 + b^2 = c^2)
Step-by-step explanation:
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Today's clients are ages 15, 72, 8, 89, 14, 16, 24, and 38. What is the range of the clients' ages?
Answer:
81
Step-by-step explanation:
The difference between the maximum and minimum values in a collection of data is known as the range. We must first determine the lowest and maximum values before we can determine the age range of the clients.
the minimum age is 8, and the maximum age is 89.
Therefore, the range of the clients' ages is:
Max age - Min age = 89 - 8 = 81
So the range of the clients' ages is 81.
Can you help me on question nine please?!
Answer:
24
Step-by-step explanation:
plug in 2
2^3+7(2)+2
2×2×2+14+2
8+14+2
24
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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Adriana and Kan are at swim team practice
Adriana swims 200 yards in 5 minutes. Kari
swims 350 yards in 7 minutes. Who swims a
a faster rate?
Find the value of x in the triangle shown below.
x=
85°
20
670
Answer:
28°
Step-by-step explanation:
x+85°+67°=180°(being sum of all interior angle of triangle)
x+152°=180°
x=180°-152°
x=28°
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.
Part A: Find the theoretical probability of a fair coin landing on heads. (2 points)
Part B: Flip a coin 15 times and record the frequency of each outcome. (4 points) i already did this i got heads 9 times and tails 6 times
Part C: Determine the experimental probability of landing on heads. (4 points)
Part D: Compare the theoretical and experimental probabilities. Explain your answer. (2 points)
The odds of landing on heads and/or tails is 50%.
Step-by-step explanation:
From my comment post:
A) 1/2 or 50%
B) YOUR experiment
C) YOUR experimental prob of heads is 9 /15= 3/5 = .6 = 60%
D) Small sample size.....more trials and the experimental would likely approach the 50% theoretical
Help I need the answer
Fast
Answer: 4
Step-by-step explanation: because he needs to divided by 2
Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
Answer:
The age of each person is:
Jess is 21 years old.Mac is 66 years old.Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1. \(j=(\frac{m}{2})-12\)
The second equation has the information "The sum of their age is 87":
2. \(j+m=87\)
Now, we replace the first equation in the second one:
\((\frac{m}{2}-12) +m=87\)And we operate:
\(\frac{m-24}{2} +m=87\)\(\frac{m-24+2m}{2}=87\)\(\frac{3m-24}{2}=87\)We clear the variable m:
\(3m-24=87*2\)\(3m=174+24\)\(m=\frac{198}{2}\)\(m=66\)How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
\(j+m=87\)We replace the value of m:
\(j+66=87\)And clear the variable j:
\(j=87-66\)\(j=21\)In the end, Jess's age is 21 years old.
tyler orders a meal thats 15$ if the tax rate is 6.6% how much will the sales tax be on tylers meal?
Answer : 0.99
Explanation : 15 * 6.6/100 For The Tax.
Total : 15.99
Select the correct answer. What is this expression in simplified form?(6v2)(-3v5) options: A. -90 B.-18v10 C.-18v7 D. 3v7
Answer:
\(-18\sqrt{10}\)
Step-by-step explanation:
\((6\sqrt{2})(-3\sqrt{5} )\)
\(6\sqrt{2} * -3\sqrt{5}\)
\((6*-3)\sqrt{2*5}\)
\(-18\sqrt{10}\)
Janet had $105.87 in her savings account. She withdrew $77.35 for a
get-together. What is the new balance in her account?
$28.51
$28.52
$28.53
$28.00
Answer:
28.52
Step-by-step explanation:
105.87 - 77.35 = 28.52
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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3/8+1/8=
Find the sum or difference
Answer:
Sum is 4/8
Difference is 2/8
Step-by-step explanation:
Sum is adding so add the numerators and denominators would be the same
Difference is subtraction
How would i do this help me please :)Directions: Read and answer all questions. Attach all documents in the dropbox below.
Using graph paper or any drawing software, draw a 2D picture that contains at least 6 coordinates on a grid. Give each coordinate a letter name.
1. Translate your original picture and indicate the rule used. Include the original picture and the translated picture on the same grid. You may indicate on the graph the rule used.
2. Reflect your original picture and indicate the rule used. Include the original picture and the reflected picture on the same grid. You may indicate on the graph the rule used.
3. Rotate your original picture and indicate the rule used. Be sure to indicate the direction as well. Include the original picture and the rotated picture on the same grid. You may indicate on the graph the rule used.
4. Submit the original picture, along with the pictures for number 1-3. Make sure that all are on a grid!
Answer:
See below
Step-by-step explanation:
Refer to attached
The graph includes:
1. Original figure ABCDEF
2. Reflection of the original figure over x-axis
Rule used: y'= -yNew figure is A'B'C'D'E'F'3. Translation of A'B'C'D'E'F'
Rule used: x'' = x' + 20, y'' = y' - 3New figure is A''B''C''D''E''F''4. Rotation of A''B''C''D''E''F'' 90° counterclockwise
Rule used: (x''', y''')= (-y'', x'')New figure is A'''B'''C'''D'''E'''F'''5. Coordinates of each point included.
For the rotation-301°, find the coterminal angle from 0° 0 < 360°, thequadrant and the reference angle.
Answer
Coterminal angle: 59°
Quadrant: I
Reference angle: 59°
Step-by-step explanation
The coterminal angle starts at the positive x-axis (shown in blue in the picture below)
The reference angle is always acute (except when it is exactly 90°) and starts at the positive or negative x-axis depending on in which quadrant is placed the original angle. In this case, the original angle, -301°, is placed at the first quadrant, then the coterminal angle from 0° < 0 < 360° and the reference angle coincide.
Quadrant I goes from 0° to 90°
Find the measure of the supplement of a 10° angle.
Answer:
170°
Step-by-step explanation:
180 - 10 = 170
J. Aitchison collected expenditures data for 20 randomly selected single men and 20 randomly selected single women. He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women. What is the correct alternative hypothesis?
a. Md = 0
b. μα = 0
c. ud > 0
d. Opmen — Вwomen
e. Himen > Mwomen
f. Mmen Mwomen
Answer:
The alternative hypothesis is \(H_1: \mu_M - \mu_W \neq 0\), considering M for men and W for women.
Step-by-step explanation:
He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women.
At the null hypothesis, we test if there is not difference, that is, the difference of the mean is 0, so:
\(H_0: \mu_M - \mu_W = 0\)
At the alternative hypothesis, we test if there is a difference, that is, the difference of the means is different of 0, so:
\(H_1: \mu_M - \mu_W \neq 0\)
((BEING TIMED))
A car dealership increased the price of a certain car by 11%. The original price was $33,800.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal. (New price = x Original price)
(b) Use your answer in part (a) to determine the new price.
Answer:
A 37,518
Step-by-step explanation:
this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.
Unit 3 lesson 22 Algebra 1
Answer:
slader app helps
Step-by-step explanation:
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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1620( 1 + 0.08/365 )^1825
Answer:
2.416,65
Step-by-step explanation:
1620( 1 + 0.08/365 )¹⁸²⁵
1620( 1 + 8/100 / 365 )¹⁸²⁵
1620( 1 + 8/36500 )¹⁸²⁵
1620(9127 / 9125 )¹⁸²⁵
2.416,65
A web page receives 9,143 views per day. The web page receives ______ views on an average in 17 days
Answer: 155,431
Step-by-step explanation: Multiply 9,143 and 17 because it is asking how much views it would get in 17 days.
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
The required value of x is 12 units.
Step-by-step explanation: Given that the figure A is a scale image of figure B.
We are to find the value of x.
Since figure A is the scale image of figure B, so both the figures are similar to each other.
Also, the corresponding sides of the similar figures are proportional, so we get
Thus, the required value of x is 12 units.
Find the slope of the line that passes through (3, 12) and (6, 18)
Match each quadratic equation with its solution set.
2x²-32=0
4x²-100=0
x²-55=9
x²-140=-19
2x²-18=0
{-8,8} →
{-4,4} →
{-5,5} →
{-11, 11} →
The required, match of each quadratic equation with its solution set are:
2x²-32=0 → {-4, 4}
4x²-100=0 → {-5, 5}
x²-55=9 → {-8, 8}
x²-140=-19 → {-11, 11}
2x²-18=0 → {-3, 3}
2x²-32=0 can be factored as 2(x² - 16) = 0, giving x = ±√16. So the solution set is {-4, 4}.4x²-100=0 can be factored as 4(x² - 25) = 0, giving x = ±√25. So the solution set is {-5, 5}.x²-55=9 can be rewritten as x² = 64, giving x = ±√64. So the solution set is {-8, 8}x²-140=-19 can be rewritten as x² = 121, giving x = ±√121. So the solution set is {-11, 11}.2x²-18=0 can be factored as 2(x² - 9) = 0, giving x = ±√9. So the solution set is {-3, 3}.Learn more about quadratic equations here:
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