Which of the following theorems verifies that WXY=PME?

A. HA
B. HL
C. LA
D. AA

Which Of The Following Theorems Verifies That WXY=PME?A. HAB. HLC. LAD. AA

Answers

Answer 1
Answer: B.  HL

HL = hypotenuse leg

We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.

Answer 2

The theorem used is HL.

What is theorem?

A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.

Given:

In both triangles

XW = MP  (given)

XY = ME (given)

As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.

Learn more about this concept here:

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Related Questions

The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7

Answers

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?

Answers

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

[tex]y = mx + b[/tex]

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

[tex]47.84 = 1.55 * 15 + b[/tex]

[tex]47.84 = 23.25 + b[/tex]

Subtract 23.25 from both sides

[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]

[tex]24.59 = b[/tex]

[tex]b = 24.59[/tex]

Solving for the monthly cost for 9 HCF

Here, we have that

[tex]x = Amount\ of\ water = 9[/tex]

[tex]m = Slope = 1.55[/tex]

[tex]b = 24.59[/tex]

Substitute these values in the linear function; [tex]y = mx + b[/tex]

[tex]y = 1.55 * 9 + 24.59[/tex]

[tex]y = 13.95 + 24.59[/tex]

[tex]y = 38.54[/tex]

Hence, the monthly cost for 9 HCF is $38.54

Simplify
(5/7)a²+13-(5/7)a-3​

Answers

Answer:

c

Step-by-step explanation:

combine like terms:

5/7a^2+-5/7a+10

HOPE THIS HELPS!!!!!!:)

What is the domain of this function graphed above?

Answers

Answer:

domain: x cant be equal to 3.75

Step-by-step explanation:

I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.

Anyway, here are my calculations. If the help you somehow to solve the question - great!

If not,srry to disappoint you

What is the length of DF?

Answers

Answer:

7.06

Step-by-step explanation:

17/8 = 15/DF

DF = 7.06

The answer is 7.06
I think that’s right

6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

What is 21 multiplied by 80

Answers

Answer:

1680

Step-by-step explanation:

you can use a calculator or do the normal operation

The answer is 1680 it helps to take away the zero from the 80 and multiple 21x8 which is 168 and then you add the zero we took away earlier at the end of 168.

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.

Answers

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374

Answers

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

The histogram represents the distributions of boiling

temperatures, in degrees Celsius, of tap water and a

mixture of salt water.

Boiling Temperatures

10

9

8

7

6

Number

of

Trials

5

-Tap Water

Salt Water

4 3

N

1

0

98°C

99 C 100C 101 102 103 104°C

Temperature (°C)

Answers

Answer:

The mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.

Step-by-step explanation:

The complete question is attached below.

From the provided data it can be seen that the distributions of boiling  temperatures, in degrees Celsius, of both tap water and a  mixture of salt water are approximately symmetric.

It is known that, for a symmetric distribution,

Mean = Median = Mode

The median for the two distributions are:

Median (Tap water) = 100°C

Median (Mixture of salt water) = 102°C

Then the mean for the two distributions would be:

Mean (Tap water) = 100°C

Mean (Mixture of salt water) = 102°C

So, the mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.

Answer: It's B :)

Step-by-step explanation:

Graph y=-3x+7 Plz help me

Answers

Answer:

y=MX+b

Step-by-step explanation:

b is your y intercept

m is your slope

Answer:

so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!

What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

What is a uniform probability distribution?

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

How do we solve the given question?

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

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Find m∠QPR..........

Answers

Hey there! :)

Answer:

m∠QPR = 25°.

Step-by-step explanation:

Given:

m∠QPS = 40°

m∠RPS = 8x + 7°

m∠QPR = 9x + 16°

m∠QPS = m∠RPS + m∠QPR, therefore:

40° = 8x + 7° + 9x + 16°

Combine like terms:

40° = 17x + 23°

Subtract 23° from both sides:

17° = 17x°

Divide both sides by 17:

x = 1°

If m∠QPR = 9x + 16°, substitute in 1 for 'x':

9(1) + 16 = 9 + 16 = 25°.

We need to find the value of x.

If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.

Now substitute the measures into the equation.

9x + 16 + 8x + 7 = 40.

Now combine like terms to get 17x + 23 = 40.

Now subtract 23 form both sides to get 17x = 17.

Now divide both sides by 17 to find that x = 1.

Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.

So we have 9(1) + 16 which is 25.

So m<QPR is 25°.

Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish

Answers

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation:

Perform all indicated operations, and express each answer in simplest form with positive exponents. Assume that all variables represent positive real numbers. Have to show all work.

Answers

Answer:

a. [tex]-( 4\sqrt{3} + 3)[/tex]

b.  [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

c.  [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]

e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

Step-by-step explanation:

a.

[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]

Expand each expression

[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]

Split the first two surds

[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]

[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]

[tex]- 4\sqrt{3} - 3[/tex]

Factorize

[tex]-( 4\sqrt{3} + 3)[/tex]

The expression cannot be further simplified

b.

[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]

Expand the expression

[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]

Apply the following law of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]

[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]

Add the exponents

[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

The expression cannot be further simplified

c.

[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]

Rationalize the denominator

[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]

[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the numerator

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the denominator by difference of two squares

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

The expression cannot be further simplified

d.

[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]

Expand the expression

[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]

Open the bracket

[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]

Open both brackets

[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]

[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]

Multiply each expression in the bracket

[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]

[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Solve like terms

[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Take square root of 25 and y²

[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]

[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]

Remove the brackets

[tex]45 + 12\sqrt{5y} + 4 y[/tex]

The expression cannot be further simplified

e.

[tex]-\sqrt{\frac{3}{5x}}[/tex]

This expression can not be simplified; However, it can be rewritten, by applying law of indices as

[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

help me please it will save my life​

Answers

Answer: 197

Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that

The correct answer would be 197

ASAP!! can someone help solve these and include work

Answers

Answer:

Below

Step-by-step explanation:

The triangle ABC is a right triangle so we will use the Pythagorian theorem

c^2 =5^2 + 8^2

c^2 = 25 + 64

c^2 = 89

c = 9.43

We khow that the sum of a triangle's angles is 180°

So B+90+58= 180

B+ 148 = 180

B = 180-148

B = 32°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Tan A = opposite/ adjacent

Tan A = 5/12

I agree with what they said

If cos x=−6/7, and 90°

Answers

Answer: 0.4693877

Step-by-step explanation:

Given that:

cos x=−6/7,

From trigonometry :

Cosx + sinx = 1

Cos2x = cos(x + x)

Recall the double angle identity:

Cos2x = 2cos^2x - 1

Sin2x = 1 - 2sin^2x

Since cosx = - 6/7

Then

Cos2x = 2cos^2x - 1

Cos2x = 2cosx^2 - 1

Cos2x = 2(-6/7)^2 - 1

Cos2x = 2(36/49) - 1

Cos2x = 2 * (72/98) - 1

Cos2x = (2 * 0.7346938) - 1

Cos 2x = ( 1.4693877 - 1)

Cos2x = 0.4693877

Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY

Answers

Answer:

10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damage

  all are maximum values

Step-by-step explanation:

Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

PLZ ANSWER, I NEED TO KNOW!!!!!

Answers

Answer:12 3/20

Step-by-step explanation:

David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?

Answers

Answer:

B. 1 must be a root of the polynomial 3x^2+x-4

Step-by-step explanation:

Given polynomial

3x^2+x-4

Divided by factor x-1

Gives a remainder of 0

Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4

If x-1 is a factor of the polynomial, we can equate x-1 to 0

x-1=0

Solve for x to get one of the roots

x-1=0

Add 1 to both sides

x-1+1=0+1

x=1

B. 1 must be a root of the polynomial 3x^2+x-4

ASAP!!! ON A TIME LIMIT!!!

Which expression is equivalent to 10k+17-7j-18-11k

-8jk-1

-7j-k-1

-7j+k+1

-8j-k

Answers

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

how do you solve this question?

Answers

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT

Answers

Answer:

y=x+-2

Step-by-step explanation:

Slope intercept form is y=mx+b

I plugged in the slope for m and y-intercept for b

sorry i did this real fast because it sounded urgent :)

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

(a) y=8x-46

(b) 8x-y=46

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

In circle C, what is mArc F H?

Answers

Answer:f

Step-by-step explanation:

Answer: 31 degrees

Step-by-step explanation:

Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

Answers

Answer:

It's not a real solution

Step-by-step explanation:

There’s no statements

Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone? StartFraction 20 Over 3 EndFraction pi inches cubed 20 pi inches cubed StartFraction 80 Over 3 EndFraction pi inches cubed 80 pi inches cubed

Answers

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cone is 1/3πr² · h

1. Set up the equation

1/3π2² · 5

2. Solve

1/3π(4)(5)

20/3π in.³

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

height - 5 in

diameter - 4 in

radius - 2 in (half of diameter)

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V = [tex]\pi (2)^{2} \frac{5}{3}[/tex]

V = [tex]\pi (4)\frac{5}{3}[/tex]

V = [tex]\pi (\frac{20}{3} )[/tex]

V = [tex]\frac{20}{3} \pi[/tex] in³

The volume of the cone is 20 over 3 pi inches cubed.

Hope that helps.

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?

Answers

Answer:

perimeter of a cuboid is 4(L+B+H).

so, L=1m, B=0.4m,H=0.8m

substituting by formula,

4(1+0.4+0.8)

= 4(2.2)

=8.8

AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m

Step-by-step explanation:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

3.04 m^2

Step-by-step explanation:

I dont understand how they got that awnser​

Answers

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

width =5 cm  height= 9cm

of B

width= 3height= 2

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

Because this is a complex shape it had to be broken down into simpler shapes in order for you to calculate the area of the individual shapes, once you’ve done that you can add all the areas together and then multiply it by the lengh (4cm) in order to find its volume.
I hope this helped
Other Questions
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