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2 years ago

What are the dimensions of the prism and what is the volume

Mathematics

1 answer:

Bess [88]2 years ago

5 0

Answer:

in steps

Step-by-step explanation:

base width: 1/2 x 5 = 2.5

base length: 1/2 x 4 = 2

height: 1/2 x 3 = 1.5

Volume: lwh = 2.5 x 2 x 1.5 = 7.5 in³

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What is the sum of the infinite geometric series?

Alexandra [31]

Answer:

-288

Step-by-step explanation:

n=1/2 divided by -144. You then just plug that number which is .00347 into n in the equation and use a scientific calculator to find the answer.

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3 years ago

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Find an ordered pair that is solution for linear equation 4x-5y=20

Eduardwww [97]

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y = 20 ⇒ y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x = 20 ⇒ x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

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2 years ago

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius

fredd [130]

Answer:

5- 2h = -7 ?

Step-by-step explanation:Im not really sure if im right :(

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2 years ago

3. A model rocket is launched from the ground with an initial velocity of 352 ft/sec.

Hoochie [10]

Answer:

e. It will take 11 seconds to reach the maximum height of 1,936 feet.

f. It will take 22 seconds to return to the earth.

Step-by-step explanation:

Given:

Initial velocity $v_0$ = 352 ft/sec

Solving for question e.

To find the time required to reach the maximum height we will use the formula,

$h(t) = -16t^2+v_0t+h_0$ ,

where $v_0$ is the starting velocity

$h_0$ is the initial height.

Using the velocity and starting height from our problem we have,

$h(t) = -16t^2+352t+0$ ,

The path of this rocket will be a downward facing parabola, so there will be a maximum.

This maximum will be at the vertex of the graph.

To find the vertex we start out with $x= \frac{-b}{2a}$ which in our case is,

$x=\frac{-352}{2(-16)}=\frac{-352}{-32}= 11$

So, It will take 11 seconds for the rocket to reach its maximum height.

We will find maximum height using the formula by substituting value of t we get,

$h(11)=-16(11^2)+352(11)+0\\h(11) = -16 \times121+ 352 \times 11 = -1936+3872= 1936 \ ft$

Hence the maximum height will be $1936 \ ft$

Now Solving for question f.

To find the time required for rocket to reach earth.

We will set our formula to 0 to find the time.

$0= -16t^2+352t+0\\-16t(t-22)=0$

Using the zero product property, we know that either -16t = 0 or t - 22 = 0. When -16t = 0 is at t = 0, when the rocket is launched. t - 22 = 0 gives us an answer of t = 22.

So the rocket reaches the Earth again at 22 seconds.

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2 years ago

A pyramid has a square base of 64 square centimeters. The triangular faces have a base of 8 centimeters and a height of 14 centi

serious [3.7K]

Answer:

A cube has a lateral area of 676 square feet. ... The square base of the pyramid has side lengths of 32 centimeters. ... A rectangular prism has dimensions x units, 2x units, and x + 8 units. ... The triangular bases of a triangular prism have three congruent sides, each measuring 10 ... The height of the prism is 15 centimeters.

Step-by-step explanation:

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2 years ago

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