Find the volume of this triangular prism

Answer:

x=8

RPS = 36

Step-by-step explanation:

QPS = 180

The two angles that form QPS

QPR + RPS = 180

7x+88 + 3x+12 = 180

Combine like terms

10x+100 =180

Subtract 100 from each side

10x = 180-100

10x = 80

Divide by 10

x =80/10

x = 8

RPS = 3x+12

        = 3(8)+12

         24+12

        36

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the  time be t  seconds taken by Elene to  catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.

Answer:

12*k=84

k = 7

Step-by-step explanation:

Product means multiply  and is means equals

12*k=84

Divide each side by 12

12k/12 = 84/12

k = 7

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

Answer:

Option C

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

plotted with desmos (free online math tool)

The function whose graph is given is y = 0.5cosx

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, a graph we need to find its function,

To analyze the given graph let us,

From the given graph we can pick the points which can tell us about the nature of the cosine function we took,

It is clear from the graph that the function plotted is equal to the standard function i.e. cos(x)

in cos(x) ⇒ we have minima at (-π, 1)

in the given graph, the function has a maximum and touches the y-axis at (0, 0.5)

Therefore, 0.5cosx is the function represented in the graph.

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Answer:

..

Step-by-step explanation:

<B = <D = 61 (AB parallel with DE)

61 = 2x

x = 30.5

Answer:

Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9

Step-by-step explanation:

Any real number can be divided by those numbers but you may get decimals as well.

There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.

It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.

In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.

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Step-by-step explanation:

203*205

(200+3)*(200+5)

200²+200(5+3)+15

40000+3000+15

403015

Answer:

3^5 = 243 square feet

Step-by-step explanation:

Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:

1. Multiply powers:

A = 3² * 3³

2. Expand each power:

A = (3*3) * (3*3*3)

3. Simplify:

[tex]A = 3^5[/tex]

The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.

The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

The complete sentences are actually the way to solve the question and can be completed as mentioned below:

A rectangle with a length of 3 cubed feet and a width of 3 squared feet.

Find the area.

1. Multiply powers: Area = 3² · 3³

2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)

3. Simplify: Area = [tex]\bold{3^5}[/tex]

The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.

Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

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Answer:

1/64

Step-by-step explanation:

(2^3)^-2

= 1/((2^3)^2)

= 1/2^6

= 1/64

---

Hope this helps! :) If so, please mark my answer as brainliest!

The right answer is 1/64

please see the attached picture for full solution

Hope it helps.....

Answer:

V = 1815.8 mm^3

Step-by-step explanation:

Okay so this is a tricky one, thats why i decided to help. The first thing you need to do is find the volume of the hemisphere, the formula to do this is 2TTr3 / 3. when you input the values, solve, and round to the nearest tenth you get approximately 718.4 mm^3. The next step is to find the volume of the cone, the formula for volume of a cone is πr^2h/3. When you input the values, solve, and round to the nearest tenth you get approximately 2534.2 mm^3. The third and final step is to subtract the volume of the hemisphere from the volume of the cone, and when you do that you get V = 1815.8 mm^3.

Hope this helps!

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

Work Shown:

[tex]\frac{3}{x^2-9} + \frac{5}{x+3}\\\\\frac{3}{x^2-9} + \frac{5(x-3)}{(x+3)(x-3)}\\\\\frac{3}{x^2-9} + \frac{5x-15}{x^2-9}\\\\\frac{3+5x-15}{x^2-9}\\\\\frac{5x-12}{x^2-9}\\\\\frac{5x-12}{(x+3)(x-3)}\\\\[/tex]

The idea is to get the denominators to be the same to the LCD (lowest common denominator). Note in step 2, I multiplied top and bottom by (x-3) to get this done. Then in step 3, I used the difference of squares rule to get x^2-9. Afterward, we can combine the fractions and like terms.

Answer:

Dilation

Step-by-step explanation:

The transformation maps the large triangle onto the small triangle will be dilation. Then the correct option is A.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Dilation does not change the shape, but changes the size of the geometry.

2 right triangles have identical angle measures but different side lengths.

The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.

The transformation maps the large triangle onto the small triangle will be

6 / 3 = 10 / 5 = 8 / 4 = 2

Then the small triangle is dilated by 2.

Then the correct option is A.

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Answer:

B

Step-by-step explanation:

The equation that satisfies the above table is y = 8[tex](\frac{1}{2})^{x}[/tex]

Given,

Table between x and y .

Here,
To get the equation between x and y first justify the data given in the table.

So,

When,

x = -3 , y = 64

x = -2 , y = 32 .

In the equation  y = 8[tex](\frac{1}{2})^{x}[/tex] substitute the values of x and check for y .

Put x = -3 ,

y = 8[tex](1/2)^{-3}[/tex]

y = 8 * 8

y = 64

Thus it satisfies the value given in the table .

So the correct equation will be Option B .

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Answer:

To solve this equation first we need to find out how much is 35% of $98.

The percentage of a number is found by multiplying the percentage by the number:

35% x $98 = $34.3

So the 35% off the telescope equals a discount of $34.30.

Now let’s find the price after the discount.

We need to subtract the discount price from the original price:

$98 - $34.30 = $63.70

So we know that the price of the telescope after the discount is $63.70

plzzz mark me brainliest if this helped :)

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Answer:

The range is different. (Last option)

Step-by-step explanation:

Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.

Answer:

HELP

Step-by-step explanation:

Step-by-step explanation: last year

Answer:

Last Year

Step-by-step explanation:

If you take a look at the red and blue lines in between the numbers 3 and 4 at the bottom of the graph, you can see that the profit for the red line (last year) is decreasing while the profit for the blue line (this year) is increasing. Last year (red line) had a decrease in profit between months 3 and 4.

Answer:A 19900

Step-by-step explanation:

Answer:

A.19,900

Step-by-step explanation:

hope this helps!!

Answer:

76

Step-by-step explanation:

Alternate interior angles

Answer:

76

Step-by-step explanation:

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

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Answer:

10%.

Step-by-step explanation:

These 2 probabilities are independent so we multiply them:

Prob(It rains both days) =  0.40 * 0.25

= 0.10

= 10%.

=

Answer:

60 percent

Step-by-step explanation:

(30/50)=60%

Answer:

yes

Step-by-step explanation:

To determine if the point is a solution, substitute the coordinates into the left side of the inequality, evaluate and compare with right side.

- 8(3) - 2(2) = - 24 - 4 = - 28 < 6

Thus (3, 2) is a solution

Answer:

Yes.

Step-by-step explanation:

Let's substitute x = 3 and y = 2 into the inequality:

-8(3)  - 2(2) = -28  which is less than 6 so it is a solution.

Answer:

1.43cm

Step-by-step explanation:

I hope it helps :)

Answer:

Well, if the figure is a triangle than the missing side would be 122 degrees, if it is a square, then it would be 302 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

m^8/25

Step-by-step explanation:

Answer:first option

Step-by-step explanation:

right on edge

Answer:

3/4

Step-by-step explanation:

Cylinder A

V = πr^2h

V = π(3)^2(4)

V = 36π

Cylinder B

V = π(4)^2(3)

V = 48π

36π/48π

3/4