What is the volume of the rectangular prism below? ⊕

Hi there!

[tex]\large\boxed{73m^2}}[/tex]

Once again, divide the figure into 3 rectangles:

Top rectangle:

3m × 5m = 15m²

Long rectangle (subtract 5m from 9m to get the width):

12m × 4m = 48m²

Bottom rectangle:

2m × 5m = 10m²

Add up areas:

15m² + 48m² + 10m² = 73m²

[tex]\hookrightarrow \:

Answer:

c. y = -4x

Step-by-step explanation:

use slope formula

Answer:

19

Step-by-step explanation:

(-6)-(-25)=(-6) +25 = 19

Answer:

Step-by-step explanation:

There are 10 common trig identities which I am aware of.

Some are in the image attached

The first image is known as b

Basic Identities

The second are known as Trigonometric / Pythagorean Identities .

The third : Co-function identities

and many more.

I'm only allowed to post five images so that's all I have.

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

Answer:

<-56, -16>

Step-by-step explanation:

multiply the values by 8 because that's what the question tells you to do

Answer:

Step-by-step explanation:

[tex]Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}[/tex]

x * 0.7771 = 7

[tex]x =\frac{7}{0.7771}=9.007[/tex]

x = 9

Answer:

7 _> x

Step-by-step explanation:

28 - x _> 7(x-4)

28 - x _> 7x-28

28+28 _> 7x+x

56 _> 8x

7 _> x

Hello,

The parabola has vertex=(0,1) and is passing through (1,3)

y=k(x-0)²+1

3=k*1+1 ==> k= 2

y=2*x²+1

Answer:

A. Cos S

Step-by-step explanation:

Recall: SOH CAH TOA

Sin W = Opp/Hyp

Opposite = 4

Hypotenuse = 5

Sin W = 4/5

Let's find the ratio for each option given to determine which gives us the same ratio as Sin W.

Option A: Cos S

Cos S = Adj/Hyp = 4/5

Option B: tan W

Tan W = Opp/Adj = 4/3

Option C: cos W

Cos W = Adj/Hyp = 3/5

Option D: sin S

Sin S = Opp/Hyp = 3/5

✔️Thus, sin W = cos S = 4/5

The correct option is A

Answer:

angle 1

Step-by-step explanation:

Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.

This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.

Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.

Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.

Answer:

A'(2,2) B'(3,4) C'(1,4) O'(Q,2)

Answer:

9 : 7

Step-by-step explanation:

Given

4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )

= 9 : 7

Answer:

All numbers have an equal chance of being landed on.

Answer:

graph 1

Step-by-step explanation:

if it's all the times BETTER

then it shouldn't include 15

Answer:

Graph 3.

Step-by-step explanation:

.

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

Explanation:

The volume of a cylinder formula is

V = pi*r^2*h

where r is the radius and h is the height.

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

For the first cylinder, we have r = 2 and h = 7. This leads us to...

V = pi*r^2*h

V = pi*2^2*7

V = pi*4*7

V = pi*28

V = 28pi

This is the exact volume in terms of pi.

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

Repeat those steps for the other cylinder (r = 2 and h = 28)

V = pi*r^2*h

V = pi*2^2*28

V = pi*4*28

V = 112pi

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

To recap so far, we have these two cylinder volumes:

We see that cylinder B has the larger volume (since 112 > 28).

The ratio of the volumes from larger to smaller is 112pi : 28pi

Divide both parts by pi to have those terms cancel and we get the ratio 112:28

Lastly, we divide each part by the GCF 28

112/28 = 4

28/28 = 1

Therefore, the ratio 112:28 fully reduces to 4:1 which makes the final answer choice A.

The larger volume is 4 times that of the smaller volume.

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

A fairly quick way to see why we get this ratio is to notice the smaller height h = 7 jumps to the larger height h = 28 by a factor of 4.

In other words,

larger height = 4*(smaller height)

28 = 4*7

The fact that the radius is kept the same at r = 2 won't have an effect on the volume ratio. These parts effectively cancel out.

So this jump of "times 4" directly connects to the ratio 4:1

We multiplied the height by 4, so the volume is also multiplied by 4 (when going from the smaller cylinder to the larger one).

Answer:

A. 55%

Step-by-step explanation:

First we should make these into fractions

A. 33/60

B. 36/78

C. 40/89

D. 24/59

these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55%   B. 36/78 is  46% .   C. 40/89 is 44%   D. 24/59 is about 40%

I also remember doing this on a quiz!!

Answer:

(1,5),(2,7),(3,9)

Step-by-step explanation:

x= 1

=> y=2*1+3 = 5

x=2

=> y=2*2+3 = 7

x=3

=> y=2*3+3 = 9

Answer:

+4 and -4

Step-by-step explanation:

x² + 16=0

x=-√16

x=-4 or +4

answer

4

2

Step-by-step explanation:

4x+3y=19

4x=19-3y

4x=16

x=16/4

x=4

2x+5y=20

5y=20/2x

5y= 10

y=10/5

y=2

Answer:

Greatest common factor = [2x - 5][x + 2]

Step-by-step explanation:

Given equation:

2x² - x - 10

Find:

Greatest common factor

Computation;

⇔ 2x² - x - 10

By splitting mid term

⇔ 2x² - [5 - 4]x - 10

Multiply by 'x'

⇔ 2x² - 5x + 4x - 10

taking x and 2  as common

⇔ x[2x - 5] + 2[2x - 5]

taking [2x - 5]  as common

⇔ [2x - 5][x + 2]

Greatest common factor = [2x - 5][x + 2]

You didn't include the right triangle but this is all I could find.

x = 1

H = sqrt(15)

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ5

Answer:

y= (3/2)x-3

Step-by-step explanation:

We need two points to find the equation of a line. Let's take (2,0) and (4, 3).

In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.

Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation

y= (3/2)x-3

Answer:

the answer is C

Step-by-step explanation:

Answer:

x - y = 0

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 1 / 5 - 1

4/4

= 1

y = 1x + b

5 = 1(5) + b

5 = 5 + b

0 = b

[tex]\displaystyle\ (\sqrt{25x-16} )^2=\ (i)^2 \\\\ 25x-16=-1 \\\\25x=15\\\\\boxed{x=\frac{3}{5}}[/tex]

Answer:

that thing is not seeing properly and you can capture it again and resend it