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3 years ago

12

The horizontal cross-sectional shapes of the prism given below are all congruent. A. True B. False

1 answer:

AlekseyPX3 years ago

7 0

Answer:

Option A. True

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shapes of the horizontal cross-sections of the cylinder in the figure are circles congruent with the circle at the base and at the top of the cylinder.

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Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

<u>Area of the big rectangle</u>: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

$( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85$

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

$f(d)=h=-2d^2+7d+4$

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

$f(0)=h=-2(0)^2+7(0)+4$

$h=4$

The height is 4 meters.

b) 9 meters.

For $d=1$

$f(1)=h=-2(1)^2+7(1)+4$

$f(1)=h=-2+7+4$

$h=9$

b) The ball travels 4 meters.

But to calculate it, it is when $h=0$

$0=-2d^2+7d+4$

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

$V=\pi r^2h$

$V=\pi (2.5)^2 \cdot 5$

$V=31.25 \pi$

$V_{c} \approx 98.17 \text{ m}^3$

The volume of the sphere:

$V=\frac{4}{3} \pi r^2$

$V_{s} \approx 65.4 \text{ m}^3$

The volume of the capsule is approximately $163.57 \text{ m}^3$

3 0

3 years ago

You are going to play a game where you bet a dollar and get to flip a coin ten (10) times. If you get four (4) heads in a row, y

klio [65]

Answer:

Approximately 4,000 times

Step-by-step explanation:

If you're flipping a coin to get 4 heads out of 10 and you times it by 10,000 then you would have a probable win rate of 4,000.

3 0

3 years ago

Question 2(Multiple Choice Worth 1 points)

kramer

Answer:

it is a linear expression

6 0

2 years ago

Solve the following system of equations.<br> y = 2x + 1<br> y = x2 – 5x + 7

BlackZzzverrR [31]

The answer is x = 2 and y = 3

5 0

3 years ago

A new sports car costs $21,000 at the dealership. If the dealership is

Molodets [167]

Answer:

16,800 dollars

Step-by-step explanation:

1. find 20 percent of 21,000= 4,200

2. subtract 4,200 from 21,000

21,000

-4,200

16,800 dollars

5 0

2 years ago