Find the surface area of the prism

Find The Surface Area Of The Prism

Answers

Answer 1

The surface area of the triangular prism is 70.2 yd²

What is surface area of prism?

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as ;

SA = 2B +ph

where h is the height,

B is the base area and

p is the perimeter of the base

Base area = 1/2 bh( since the base Is a triangle)

Base area = 1/2 × 3 ×3 = 4.5yd²

The other side of the triangle is calculated as;

x= √ 3²+3²

x = √9+9

x = √18

x = 4.2

Therefore perimeter = 4.2 + 3+3 = 10.2yds

SA = 2× 4.5 + 10.2 × 6

SA = 9 + 61.2

SA = 70.2 yd²

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Related Questions

Solve two shapes below shown in photo:

Answers

Answer:

1. 69.73 is the Area of the Rectangle. 50.27 is the Area of the Circle. 2. 120 is the area of the parallelogram, 25.13 is the area of the semi-circle

Step-by-step explanation:

For #1, We can to 15 * 8 to get area of what would be the whole rectangle. It is 120. Then, calculate area of the circle, pi * 4^2(4 because the 8 is a diameter. That totals to 50.27 for the circle. Subtract the two, 120-50.27 and you get 69.73 as the area of the shape excluding the circular portion.

For #2, We can apply the same formula for the circle, and divide it by two this time for 25.13 as the circle area. We can use the paralellogram formula of b*h (6*20) and we get 120 for that area. The total for the whole figure on #2 is 145.13 square units.

Note: unit for both is square units, as it is not specified.

The table below shows the U.S. National Debt (in trillions of dollars) by year

Year 1960 1970. 1980 1990 1995 2000 2005 2010 2014

Debt .29 .37 .91 3.23 4.97 5.67 7.93 13.96 17.82

Find an exponential model for the national debt. Use the model to estimate the National Debt for the year 2015. Compare it with the actual value found in the table

Answers

The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10.

During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value.

The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

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What is the amount of your employer's contributions if the company matches 50% of the first 4% of your salary, and you make $72,000 a year?

O $1,440.00
O $1,000.00
O $2,880.00
O $36,000.00

Answers

To calculate this, we need to find 4% of the salary and then find 50% of that amount.

4% of $72,000 is:

$72,000 x 0.04 = $2,880

50% of $2,880 is:

$2,880 x 0.5 = $1,440

Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.
To calculate this, we need to find 4% of the salary and then find 50% of that amount.
4% of $72,000 is:
$72,000 x 0.04 = $2,880
50% of $2,880 is:
$2,880 x 0.5 = $1,440
Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.

A virus takes 18 days to grow from 160 to 240. How many days will it take to
grow from 160 to 600? Round to the nearest whole number.

Answers

The virus will thus increase from 160 to 600 in around 10 days.

What is virus ?

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

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Find the missing angle.
92° 78°

Answers

Answer:

[tex]\huge\boxed{\sf x = 10\°}[/tex]

Step-by-step explanation:

Statement:Angles on a straight line add up to 180 degrees.Solution:

According to the statement,

92° + x + 78° = 180°

170° + x = 180°

Subtract 170° from both sides

x = 180° - 170°

x = 10°

[tex]\rule[225]{225}{2}[/tex]

3cm
7 cm
2 cm
Surface area of the prism

Answers

The surface area of the rectangular prism is 82 square cm.

Given that:

Length, L = 3 cm

Width, W = 7 cm

Height, H = 2 cm

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as,

SA = 2(LW + WH + HL)

The surface area of the rectangular prism is calculated as,

SA = 2 x (3 x 7 + 7 x 2 + 2 x 3)

SA = 2 x (21 + 14 + 6)

SA = 2 x 41

SA = 82 square cm

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a. what is the length y
b. find out the area of the shaded part

Answers

The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

We have to given that;

A figure is shown in image.

Hence, We get;

The value of y is,

y = 4 cm

And, The area of the shaded part is,

⇒ 4 × 5

⇒ 20 cm²

Thus, The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

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Solve the following for θ, in radians, where 0≤θ<2π.
4sin2(θ)+7sin(θ)−5=0
Select all that apply:

2.57
1.37
1.05
2.35
0.58
1.88

Answers

Answer:θ ≈ 2.57 radians

θ ≈ 0.58 radians

Step-by-step explanation:We can solve this quadratic equation in sin(θ) by factoring:

4sin^2(θ) + 7sin(θ) - 5 = 0

(4sin(θ) - 1)(sin(θ) + 5) = 0

Therefore, either:

4sin(θ) - 1 = 0

sin(θ) = 1/4

or:

sin(θ) + 5 = 0

sin(θ) = -5 (not possible, since sin(θ) is between -1 and 1)

So, we have sin(θ) = 1/4. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse sine function:

θ = arcsin(1/4)

Using a calculator, we find:

θ ≈ 0.2531 or θ ≈ 2.8887

Therefore, in radians, the solutions for θ are approximately:

0.2531 (which is less than 2π)

2.8887 (which is greater than 2π)

So the only answer that satisfies 0 ≤ θ < 2π is:

Solve please! A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

Answers

1. The diagram below shows the net of a pyramid with all its labeled sides.

2. The surface area; S = L + B

3. The total surface area = 22.44 cm².

How do we solve for the total surface area?

To calculate the total surface area, we use the formula to find Area = (1/2) x b x h.

After we've found the area, we say

Total surface area = 1/2 x 2.24 x (3 x 4) + (3)²

= 22.44 cm²

The above answers are based on the full questions below;

A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

1. Draw a net for the pyramid. Label all sides with measurement?

2. Write an expression for the surface area of the pyramid and then find the total surface area

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3×2×1+3+8+6+7-9-9÷7×0×1=?​

Answers

Answer:

3 × 2 × 1 + 3 + 8 + 6 + 7 - 9 - 9 ÷ 7 × 0 × 1

= 6 + 3 + 8 + 6 + 7 - 9 - 0

= 31 - 9

= 22

Therefore, the value of the expression is 22

Pls help thanks!!!!!!!!!!!

Answers

Answer:

Put your calculator in degree mode.

sin(13°) = 500/x

x sin(13°) = 500

x = 500/sin(13°) = 2,222.7 miles

Using a trigonometric relation we can see that x =  2,222.7 ft

How to find the value of x?

We can see a right triangle, there we can see that one of the angles has a measure of 13°.

The opposite cathetus has a measure of 500ft, and we want to find x, which is the hypotenuse.

Then we can use the relation:

sin(a) = (opp cathetus)/hypotenuse

Replacing what we know, we will get:

sin(13°) = 500/x

Solving that for x:

x = 500/sin(13°) = 2,222.7 ft

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A
Find the value of each determinant:
7 31
19
142
11
7
11
21
55
-8 2
-16 -1 -9
11
9.07 6.02 2.01
-30.7 2.5 3.5 =
3.55 -1.1 2.35

Answers

The determinant of each of the given matrices are:

1) -4269

2) -1988

3) -68.92

How to calculate determinants of Matrix?

The determinant of a matrix is a number that is specially defined only for square matrices. Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations.

Thus:

1) [tex]\left[\begin{array}{ccc}7&&31\\142&&19\\\end{array}\right][/tex]

The determinant of this 2 x 2 matrix is:

(7 * 19) - (142 * 31) = -4269

2) [tex]\left[\begin{array}{ccc}7&11&21\\55&8&2\\-16&1&-9\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

7((8*-9) - (1*2)) + 11((55*-9) - (2*-6)) + 21((55*1) - (8*-16)) = -1988

3) [tex]\left[\begin{array}{ccc}5.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

5.07[(2.5 * 2.35) - (-1.1 *  3.5)] + 6.02[(-30.7 * 2.35) - (3.5 * 3.55)] + 2.01[(-30.7 * -1.1) - (2.5 * 3.55)] = -68.92

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Find​ s(t), where​ s(t) represents the position​ function, v(t) represents the velocity​ function, and​ a(t) represents the acceleration function.​a(t)= -30t+6​, with ​v(0)=8 and ​s(0)=2

Answers

The position function is s(t) = -5t³ + 3t² + 8t + 2.

We have,

To find s(t), we need to integrate the velocity function v(t) since velocity is the rate of change of position with respect to time.

To do this, we need to first find the velocity function v(t) by integrating the acceleration function a(t):

a(t) = -30t + 6

Integrating with respect to t, we get:

v(t) = -15t² + 6t + C1

We are given that v(0) = 8, so we can use this to solve for the constant C1:

v(0) = -15(0)² + 6(0) + C1 = C1

C1 = 8

Now we have the velocity function:

v(t) = -15t² + 6t + 8

To find s(t), we need to integrate v(t) with respect to t:

s(t) = -5t³ + 3t² + 8t + C2

We are given that s(0) = 2, so we can use this to solve for the constant C2:

s(0) = -5(0)³ + 3(0)² + 8(0) + C2 = C2

C2 = 2

Now we have the position function:

s(t) = -5t³ + 3t² + 8t + 2

Therefore,

The position function is s(t) = -5t³ + 3t² + 8t + 2.

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Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x

Answers

The correct solution of the expression is,

⇒ 16 / e¹²ˣ

We have to given that;

The value of Expression is,

⇒ (2e⁻³ˣ)⁴

Now, We can simplify as;

⇒ (2e⁻³ˣ)⁴

⇒ 2⁴ × e⁻¹²ˣ

⇒ 16e⁻¹²ˣ

⇒ 16 / e¹²ˣ

Thus, The correct solution of the expression is,

⇒ 16 / e¹²ˣ

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Question 20 of 42
Which of the following is a type of data that is likely to be normally
distributed?
A. The weights of all the 5-year-olds in the United States
B. The outcomes of a fair die rolled 100 times
C. The number of students in a class who get a perfect score on a
test
D. The number of students in a class who get a B on a test

Answers

Answer: Option B, the outcomes of a fair die rolled 100 times, is likely to be normally distributed.

Step-by-step explanation:

Answer: Option B, The outcomes of a fair die rolled 100 times

Step-by-step explanation:

that would most likely be normally distributed.

hope it helped! Good luck!!! :)

You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%

Answers

The probability in percentage form is P(divisor of 54) = 29.6%

How to find the probability?

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

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Help much needed pls and thank you.

Answers

Answer:

Step-by-step explanation:

A full revolution on a circle/radians is 2[tex]\pi[/tex], so keep adding or subtracting 2[tex]\pi[/tex] til you get a base angle, that's when the sign changes.  Then decide which quadrant your in.

For this one the equivalent of 2[tex]\pi[/tex] is [tex]6\pi /3[/tex]

-29[tex]\pi[/tex]/3 + [tex]6\pi /3[/tex]

= -23[tex]\pi[/tex]/3 + [tex]6\pi /3[/tex]

= -17[tex]\pi[/tex]/3 + [tex]6\pi /3[/tex]

= -11[tex]\pi[/tex]/3 + [tex]6\pi /3[/tex]

= -5[tex]\pi[/tex]/3 + [tex]6\pi /3[/tex]

= 1[tex]\pi[/tex]/3            sign changed it's equavalent to [tex]\pi /3[/tex]  Which is in the first quadrant.   See unit circle.

-5[tex]\pi[/tex]/6 + [tex]12\pi /6[/tex]

=[tex]7\pi /6[/tex]              third quadrant,  i count quadrants by know [tex]\pi[/tex]/6 is 30°, so every 30° line is 1/6 of the unit circle.  when i count 7 of them that's in the 3rd quadrant.  Don't forget to count the axis's

2[tex]\pi[/tex]/3 is in the 2nd quadrant.  Count my pi/3's which is 60°

45[tex]\pi[/tex]/7 - 14[tex]\pi[/tex]/7

= 31[tex]\pi[/tex]/7 - 14[tex]\pi[/tex]/7

=17[tex]\pi[/tex]/7 - 14[tex]\pi[/tex]/7

=3[tex]\pi[/tex]/7 - 14[tex]\pi[/tex]/7

= -11[tex]\pi[/tex]/7      1/7th's is not your typical unit circle angle

This one i think of logically.  this is -1 4pi/7  

1 pi going backwards is 180

keep going backards 4/7 is bigger than 1/2 so it's in the 1st quadrant

30 POINTS ANSWER FOR BRAINLIST
Solve m^2 − 6m = 3. Use the Quadratic Formula. Leave your answers as simplified radicals.

Answers

Answer:

To solve m^2 - 6m = 3 using the quadratic formula, we first need to put the equation in standard form, which is ax^2 + bx + c = 0.

m^2 - 6m - 3 = 0

Now we can identify a, b, and c:

a = 1, b = -6, c = -3

Next, we can plug these values into the quadratic formula:

m = (-b ± sqrt(b^2 - 4ac)) / 2a

m = (-(-6) ± sqrt((-6)^2 - 4(1)(-3))) / 2(1)

m = (6 ± sqrt(48)) / 2

Simplifying the square root of 48, we get:

m = (6 ± 4sqrt(3)) / 2

Now we can simplify by factoring out a 2 from the numerator:

m = 3 ± 2sqrt(3)

So the solutions to the equation are:

m = 3 + 2sqrt(3) or m = 3 - 2sqrt(3)

Step-by-step explanation:

Answer: 3±2√3

Step-by-step explanation:

see image for explanation

Let me know if you more explanation with simplifying the root.  That is a whole lesson in itself.

Pls help
The shape below contains a triangle and a semi circle.
Round your response to two decimal places.
What is the perimeter of the shape above?
What is the area of the shape above?

Answers

The perimeter of the shape above is 22.22 units

the area of the shape above is 26 square units

How to determine the values

We can see from the diagram shown, that the shape is made up of a semicircle below and a triangle above.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that the parameters are;

A is the areab is the base h is the height of the triangle

Now, substitute the values

Area = 1/2 × 7 ×6

Multiply the values

Area = 42/2

Area = 26 square units

The formula for perimeter of a triangle is;

Perimeter = (a + b + c)

Perimeter = 6 + 7 + 9. 22

Add the values

Perimeter = 22. 22 units

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60 POINTS ANSWER FOR BRAINLIST AND HEARTS

Answers

Answer:

a. The given equation is (y - 3)^2 -10 = 71. To determine the number and type of solutions, we need to use the discriminant, which is given by b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in standard form (ax^2 + bx + c = 0). In this case, the equation can be rewritten as (y - 3)^2 = 81, which is in the form of (y - k)^2 = r^2, where k = 3 and r = 9. Therefore, the equation can be written as (y - k)^2 - r^2 = 0, which is a quadratic equation with a = 1, b = -6, and c = -72. The discriminant is then b^2 - 4ac = (-6)^2 - 4(1)(-72) = 300. Since the discriminant is positive, there are two real solutions.

b. To solve the equation (y - 3)^2 -10 = 71, we first add 10 to both sides to get (y - 3)^2 = 81. Then, we take the square root of both sides to get y - 3 = ±9. Adding 3 to both sides, we get y = 3 ± 9, which gives us two solutions: y = 12 and y = -6.

Therefore, the equation (y - 3)^2 -10 = 71 has two real solutions, which are y = 12 and y = -6.

Step-by-step explanation:

Answer:  type: real   number of solutions:2   y=12,-6

Step-by-step explanation:

see images for explanations

Given the function f(x) =3x^2-6x-9 is the point (1,-12) on the graph of f?

Answers

The equation x² + y - 36 = 0 is symmetry about the y - axis.

We have to given that;

The equation of graph is,

⇒ x² + y - 36 = 0

Now, We get;

⇒ x² + y - 36 = 0

⇒ y = - x² + 36

By plotting the equation in graph we get;

The equation x² + y - 36 = 0 is symmetry about the y - axis.

Thus, The equation x² + y - 36 = 0 is symmetry about the y - axis.

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What function is represented in the table?
Select one:
y = 3(2^x)
y = 2(3^x)
y = 2(.5^x)
y = 3^x

Answers

The exponential function represented in the table is given as follows:

y = 3^x.

How to define an exponential function?

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

a is the value of y when x = 0.b is the rate of change.

From the table, we have that when x=  0, y = 1, hence the parameter a is given as follows:

a = 1.

When x is increased by one, y is multiplied by three, hence the parameter b is given as follows:

b = 3.

Hence the function is:

y = 3^x.

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Which equation describes a vertical translation of the square root parent function?
A. y = x − 4−−−−−−√
x



4
B. y = x−−√−6
x
-
6
C. y = x−−√
x
D. y = −x−−√

Answers

Answer:

The equation that describes a vertical translation of the square root parent function is A. y = x − 4−−√ + k where k is the vertical shift.

The square root parent function is f(x) = √x. To perform a vertical translation of this function, we add or subtract a constant value to the function. In this case, the function y = x − 4−−√ represents a vertical translation of the square root parent function by 4 units downwards.

Option B, y = x−−√−6 represents a vertical translation of the square root parent function by 6 units downwards. Option C, y = x−−√, represents the square root parent function without any vertical shift. Option D, y = −x−−√, represents a reflection of the square root parent function about the y-axis.

Michel-Eugène Chevreul found that the greatest intensity came from placing ________colors next to each other.

tertirary

analogous

complementary

arbitrary

Answers

Answer:

C. complementary

Michel-Eugène Chevreul discovered that placing complementary colors next to each other can create the greatest contrast and vibrancy in color perception. This is because complementary colors are located opposite each other on the color wheel and, when placed side by side, they enhance each other and create a strong visual impact. For example, placing yellow next to violet or blue next to orange can create a dynamic and eye-catching effect. In contrast, placing tertiary colors (colors made by mixing primary and secondary colors) or arbitrary colors next to each other may not create as much contrast or visual interest. Overall, understanding color theory and the relationships between different colors can be helpful for creating visually appealing designs, artworks, or other color-based projects.

Please help!!!!! I am in need of it, this is for math nation unit 1 and im failing!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

use the table, when it asks f(2) that says what is the output *y) when the input is 2. Find when x=2 your answer is the y value, f(2)=5

Need help dont know how to do this question

Answers

The unknown angle in the cyclic quadrilateral is as follows:

m∠DGF = 75 degrees

How to find the angle of a cyclic quadrilateral?

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's the angle m∠DGF as follows:

The opposite angles of a cyclic quadrilateral have a total of 180°.

4x + 7 + 8x - 31 = 180

12x  - 24 = 180

12x = 180 + 24

12x = 204

divide both sides by 12

x = 204 / 12

x = 17

Hence,

m∠DGF = 4x + 7 = 4(17) + 7 = 68 + 7 = 75 degrees

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The length of a picture frame is 7 inches more than the width. For what values of x is the perimeter of the picture frame greater than 150 inches?

Answers

Let x be the width of the picture frame. Then, the length of the picture frame is x + 7. The perimeter of the picture frame is 2(x + x + 7) = 4x + 14. To find the values of x for which the perimeter of the picture frame is greater than 150 inches, we solve the inequality 4x + 14 > 150. Subtracting 14 from both sides gives 4x > 136. Dividing both sides by 4 gives x > 34. Therefore, the values of x for which the perimeter of the picture frame is greater than 150 inches are x > 34.

The first text message was sent on December 3, 1992. Two decades later, texting has become one of the most popular methods of communication. The number, in millions, of SMS messages sent per year in the United Kingdom is given in the table below. In 2012, the first decrease occurred in the number of SMS messages in the UK and was attributed to the unveiling of Apple’s iMessage on June 6, 2011. Find an exponential model for the number of SMS messages sent annually for years before 2012.

Year 2003 2005 2007 2009 2010 2011

SMS 24086 39751 66331 104358 128462 150651

in

millions

Answers

An exponential model for the number of SMS messages sent annually for years before 2012 is [tex]y = 12421e^{0.2325x}[/tex].

How to determine the equation of line of best fit?

In this scenario, the year would be plotted on the x-axis (x-coordinate) of the scatter plot while the SMS messages would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the year and SMS messages, an exponential equation for the line of best fit is given by

[tex]y = 12421e^{0.2325x}[/tex]

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Question 2
Plot the coordinates on the number line provided and then find the coordinate of the indicated point
on a number line that partitions the segment into the given ratio.
(The numbers are not aligned properly to the marks, so redraw the number line.)
A is at -2 and B is at 14. Find the point, T, so that T is three-fourths of the distance from A to B.
-10
5
10

Answers

Note that  in the line graph presented, 3/4 the distance from A to B is 12, thus, t = 12.

what is the explanation about this?

Given:

A (- 2 , 0) and B(14, 0)

Using distance formula,      we can determine the distance between coordinates given:

d    = √ ( (x2 - x1)² + ( y2 - y1) ²)

In this case,  x1 = -2  y1 = 0,

x2 = 14, and y2 =  0.

Substituting these     values into the formula, we get:

d = √(  (14 -   (-2 ) ) ² + (0 - 0) ²)

= √((16)² + (0)² )

= √(256)

= 16

The distanc between the points (-2,0) and (14,0) is 16   units.

Recall that we need to find the position of t which    is 3/4 the distance between A and B.

That is:

3/4 x 16

t = 12.


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Problems 2 and 3 refer to the following drawing.

Answers

2. The side AC corresponds to side AE of the other triangle.

3. The length of side BC is 15.

What are similar triangles?

Two or more triangles are said to be similar if on comparing their properties, there exist some common relations. Some of the common relations are; measure of internal angles, scale factor etc.

From the diagram given, we have;

2. Given that the triangles are similar, thus:

The side AC corresponds to side AE of the other triangle.

3. On comparing the corresponding length of the triangles, we have;

15/ 25 = 9/ BC

15BC = 9 x 25

         = 225

BC = 225/ 15

     = 15

The length of side BC is 15.

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