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4 years ago

Iiii needdd helppp withhh thisss

Mathematics

1 answer:

Alchen [17]4 years ago

4 0

It's an upside (-) down parabola. The axis of symmetry is the x coordinate of the vertex.

you can easily find this using formula: x= -b/2a
for parabola: ax² + b + c = 0
x = -16 ÷ 2(-4)
x = 2
Answer C

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A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the vo

pochemuha

The volume of a shape is the amount of space in it.

<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>

The given parameter is:

$l = 10$ ---- length of the cube

So, the volume of the cube is:

$V_1 = l^3$

$V_1 = 10^3$

$V_1 = 1000$

The volume of the cylinder is:

$V_2 = \pi r^2h$

The diameter (d) of the cylinder equals the length of the cube.

This means that:

$d = l$

$d = 10$

Divide by 2 to calculate the radius of the cylinder

$r = \frac{10}{2}$

$r = 5$

Also, the height of the cube is::

$h =l$

$h =10$

So, we have:

$V_2 = \pi r^2h$

$V_2 = \pi \times 5^2 \times 10$

$V_2 = \pi \times 25 \times 10$

$V_2 = \pi \times 250$

$V_2 = 785.4$

So, the volume (V) outside the cylinder is:

$V = V_1 - V_2$

$V = 1000 - 785.4$

$V = 214.6$

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

5 0

2 years ago

When solving a real-world problem to find a person's age, would a negative solution make sense

larisa [96]

No. Because no can be -1, either the solution is positive or the person wasn't born.

8 0

3 years ago

Find two numbers such that their product, sum and difference are in the ratio 5:4:1'

wel

Answer:

3 1/3 and 2

Step-by-step explanation:

Let the numbers be x and y and let z be the constant of proportion. Then

xy = 5z ...............(1)

x + y = 4z ...........(2)

x - y = z ..............(3) Adding (2) and (3)

2x = 5z

x = 5z/2 ................(4)

Substituting for x in equation 1:

5z/2 * y = 5z

y = (5z * 2) / 5z = 2.

Substituting for y in equations (2) and (3):

x + 2 = 4z

x - 2 = z Subtracting:

4 = 3z

z = 4/3.

Substituting for z in equation (4)

x = 5(4/3) /2

x = 20/6 = 10/3 = 3 1/3.

So the 2 numbers are 3 1/3 and 2.

Checking the results:

xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z

x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.

x - y = 10/3 - 2 = 4/3 = z.

7 0

3 years ago

What is the height of the triangular base? Show your work.

emmainna [20.7K]

Answer:

Hope it helps :)

Step-by-step explanation:

The volume of a triangular prism shaped box is 2,400 cubic centimeters.

Base of the triangle = 16cm

Sides of the triangle = 17cm

Length of the box = 20cm

Triangular prism

A triangular prism is a three-sided prism made of a triangular base and a corresponding side.

A. To find the height of the base = 3 x the volume divided by the base area = 15cm.

B. The approximate amount of card board used to make the candy box:

Using the lateral prism as the sides will be:

Lateral area = Perimeter of triangle X height of the prism

Lateral area = (16 + 17 + 17) X 20

Lateral area = 50 X 20

Lateral area = 1,000 cm2

Therefore, the answer is 1000cm2.

3 0

3 years ago

Help would be nice thank you!

Helen [10]

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer.

4 0

3 years ago