what is angle of elevation ​

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

----------------------------------------

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

https://brainly.in/question/28196155#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=1%20The%20corresponding%20angles%20are,alternate%20exterior%20angles%20are%20equal. See #5.

Given Data:

The total yard of fabric for one dress is: y=1

The total dresses Yvonne expecting to make is: n=5

The expression to calculate the total yards requered for 5 dresses is,

Thus, Yvonne needs 5 yards of estimated fabric to make 5 dress.

The expression to calculate the actual amoud of fabric is,

Thus, the actual length of fabric should be 4.375 yards.

A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).

In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;

f(x) = −x² + 2x - 15

f(x) = −2x + 2

0 = −2x + 2

2x = 2

x = 2/2

x = 1

For the maximum value of function 2, we have:

f(1) = −(1)² + 2(1) - 15

f(1) = -14

For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.

Read more on maximum and function here: https://brainly.com/question/1800006

#SPJ1

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

24

Step-by-step explanation:

i counted the square me good at counting

Answer:

The 90% confidence interval for the difference in mean number of days meeting the goal  is (4.49, 18.11).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between two means is:

\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)

It is provided that:

\(\bar x_{1}=45\\\bar x_{2}=33.7\\SE_{\text{diff}} =4.14\\\text{Confidence Level}=90\%\)

The critical value of z for 90% confidence level is,

z = 1.645

*Use a z-table.

Compute the 90% confidence interval for the difference in mean number of days meeting the goal as follows:

\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)

    \(=45-33.7\pm 1.645\times 4.14\\\\=11.3\pm 6.8103\\\\=(4.4897, 18.1103)\\\\\approx (4.49, 18.11)\)

Thus, the 90% confidence interval for the difference in mean number of days meeting the goal  is (4.49, 18.11).

Answer:

Answer 1008

Step-by-step explanation:

Answer:

she has a total of 140 coins

Step-by-step explanation:

x is coins in total

5/100 times x = 7

0.05 times x = 7

x = 7/0.005

x = 700/5

divide that you get 140

Answer:

Maybe 7.14285714?

Step-by-step explanation:

50% divided by 7?

I'm sorry I just guessed

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

The best approximation of the value of x would be 4.25 or 4.2 units, as the increase in the volume of water in the cylinder will be equal to the volume of water contained in the reactangular container.

What is meant by volume?

Volume is the space occupied by any solid shapes or the any three dimensional shapes.Volume of cylinder is given by πr²h and that of a cuboid is given by the formula length times width times height.

Given that the dimensions of cylinder:

Radius=3 units

Increase in height of water= x units

Total height of water in cylinder=(h+x)

Volume of increased water=Volume of cylinder with radius 3 units and height x units.

                                            =πr²h

                                            =(3.14)(3)²(x)

                                            =(3.14)(9)(x)

                                            =28.26x cubic units.

Given dimensions of cuboid:

Length=6 units

Width=5 units

Height=4 units

Volume of water in cuboid container= Lengthx Width x Height

                                                            =(6) (5) (4)

                                                            =120 cubic units

As we know that volume of water poured into the cylinder is equal to the volume of water contained in rectangular container,

28.26x = 120

         x = 120 ÷ 28.26

            =4.246 units

On rounding off the approximate value of 'x' would be 4.25 or 4.2 units.

To know more about volume, visit:

https://brainly.com/question/463363

#SPJ1

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

For similar question on components.

https://brainly.com/question/28351472  

#SPJ11

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

We have the final answer as

Hope this helps you

Answer:D

Step-by-step explanation:Edge

Answer: The mode is 3

The range is 12

Step-by-step explanation:

The mode is the most frequently appearing number

3

The range is the difference between the highest and lowest numbers

12 - 0 = 12

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

for such more question on Newton-Raphson iteration

https://brainly.com/question/17150870

#SPJ8

Answer:

Step-by-step explanation:

(1+p)^4 = 5.0625

1+p = 5.0625^0.25 = 1.5

p = 0.5

Answer:

Step-by-step explanation:

Area of a triangle is given by

\(A = \frac{1}{2} bh\)

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

\(21 = \frac{1}{2} (h - 8)h\)

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

Hope this helps you

Answer:

6/5 cm

Step-by-step explanation:

Double the radius

2*3/5=6/5

Answer:

1 1/5 or 6/5

Step-by-step explanation:

3/5 (2) =  6/5 or 1 1/5

The mean monthly rainfall from the given data is 3.245 inches, using the formula to evaluate mean that is sum of all observations divided by total number of observations.

What is mean?

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is calculated. Similar to the mode and median, the mean is one of the measurements of central tendency. It denotes that values for a specific set of data are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

Mean= \(\frac{sum of all observations }{total observations}\)

Given observations in inches:

2.22, 1.51 , 1.86 , 2.06 , 3.84 , 4.47 , 3.37,5.40 ,5.45 , 4.34 ,2.64,2.14

sum of all observations = 2.22 + 1.51 + 1.86 + 2.06 + 3.84 + 4.47 + 3.37 + 5.40 + 5.45 + 4.34 + 2.64 + 2.14

sum of all observations = 38.94 inches

Total number of observations = total number of months

                                                = 12

Mean monthly rainfall= \(\frac{sum of all observations }{total observations}\)

                                   =\(\frac{38.94}{12}\)

                                   =3.245

Mean monthly rainfall=3.245 inches.

To know more about mean , visit:

https://brainly.com/question/31101410

#SPJ1

Refer to the attachment for the table.

             I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!

(It has been a bit since I've done this haha)

[Equation] \(A = d(\frac{(1+i)^{n}-1}{i})\)

[Plug-In] \(152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})\)

          () 4.5% -> 0.045

          () 14 years * 12 = 168 months

This is where I loose confidence in it, just so you know:

[Addition] \(152,000 = d(\frac{(1.045)^{168}-1}{0.045})\)

[Exponent of 168] \(152,000 = d(\frac{(1,627.56)-1}{0.045})\)

[Subtract] \(152,000 = d(\frac{1,626.56}{0.045})\)

[Divide] \(152,000= 36,145d\)

[Divide Again] d = 4.2

(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)

Have a nice day!

   I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

False Reason:...This is false if (x=5)  (y=3). and denotes the requirement that both be true.

This is true: (z=8) > (x=5) The entire statement is false because it relies on the and condition rather than the OR condition.

What is an example of a Boolean expression?

A Boolean expression(named for mathematician George Boole) is an articulation that assesses to one or the other valid or misleading. Let's take a look at some examples from common speech: Pink is my favorite color. valid • I'm anxious about PC programming. False This book is a laugh-out-loud good read.

Which three Boolean expressions are there?

There are three fundamental Boolean operators: What's more, OR, and NOT.

To learn more about Boolean expression here

brainly.com/question/13265286

#SPJ4

Answer: \(\frac{4}{3}\)

Step-by-step explanation:

Before we find the slope of the perpendicular line, we have to find the slope of the given line. To do so, we want to change our equation into y=mx+b form.

\(3x+4y=12\)              [subtract both sides by 3x]

\(4y=-3x+12\)            [divide both sides by 4]

\(y=-\frac{3}{4} x+3\)

There are 2 things we have to do to find the slope of the perpendicular line. We have to find the reciprocal and change the sign.

\(-\frac{4}{3}\)                             [reciprocal]

\(\frac{4}{3}\)                                 [change the sign]

Therefore, the slope of the perpendicular line is \(\frac{4}{3}\).

Answer:

80

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

The equation of the oscillating circle of the curve y = ¹/₄ x² +2 at point (2,1) is (x - 5/2)² + (y - 1)² = 1/4.

To find the equation of the oscillating circle of the curve y = ¹/₄ x² +2 at point (2,1), we need to follow these steps:

Find the first and second derivatives of the given curve:

y = ¹/₄ x² + 2

y' = ¹/₂ x

y'' = ¹/₂

Use the first and second derivatives to find the equation of the tangent line to the curve at point (2,1):

y - 1 = 1/2(x - 2)

y = 1/2 x + 0.5

Find the perpendicular bisector of the tangent line at point (2,1):

The slope of the tangent line is 1/2, so the slope of the perpendicular bisector is -2.

y - 1 = -2(x - 2)

y = -2x + 5

Find the intersection of the perpendicular bisector with the x-axis:

When y = 0, -2x + 5 = 0, so x = 5/2.

Find the center of the oscillating circle:

The center of the oscillating circle is (5/2,1).

Find the radius of the oscillating circle:

The radius of the oscillating circle is the distance between the center and the point of tangency, which is:

r = √[(2 - 5/2)² + (1 - 1)²]

r = [1/4 + 0] = 1/2.

Write the equation of the oscillating circle in standard form:

The equation of the oscillating circle is:

(x - 5/2)² + (y - 1)² = (1/2)².

Simplifying, we get:

(x - 5/2)² + (y - 1)² = 1/4.

Learn more about equation of circle here: https://brainly.com/question/29869005

#SPJ1

The complete question is below:

Find the equation of oscillating circle of curve y=1/4 x^2 +2 at (2,1)

The Solution:

The given figure is:

First, we shall find the value of the radius of the cylinder.

To find the volume of the given cylindrical tank above, we shall use the formula below:

In this case,

Substituting these values in the formula above, we get

Therefore, the correct answer is 1017 squared feets