What is 50 divide by 400?

How does the volume change as each layer is added

Nina [5.8K]

The volume will increase as each layer is added because you are adding more to that certain shape

6 0

3 years ago

Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 ft. If the lowest point of the wi

Brut [27]

Answer:

H=22.5ft

Step-by-step explanation:

According to the graph, we must find y to determine the height at which the rope must be placed so that the lowest point of the rope is 17 ft high .

applying the pythagorean theorem

$h^{2}=x^{2} +y^{2}\\y^{2}=h^{2} -x^{2}\\y^{2}=30.5^{2} -30^{2}\\ y^{2}=930.25-900\\y=\sqrt{30.25}=5.5ft$

then H=17ft+5.5ft=22.5ft

5 0

4 years ago

A parabola can be drawn given a focus of (-4, -7)(−4,−7) and a directrix of y=-3y=−3. What can be said about the parabola?

Natali5045456 [20]

Answer:

Vertex = (-4,-5)

P-value = -2

Opens Downward

Step-by-step explanation:

Given:

Focus = (-4,-7)
Directrix = -3

Since focus is less than directrix, the parabola obviously opens downward.

To find vertex (h,k), for downward parabola, focus is (h, k + p) and directrix is y = k - p

We have:

$\displaystyle \large{k+p=-7 \to (1)}\\\displaystyle \large{k-p=-3 \to (2)}$

First equation being focus and second being directrix, solve the simultaneous equation:

$\displaystyle \large{2k=-10}\\\displaystyle \large{k=-5}$

Substitute k = -5 in any equation - I’ll choose (1) for this:

$\displaystyle \large{-5+p=-7}\\\displaystyle \large{p=-2}$

Therefore vertex is at (h,k) = (-4,-5) with p-value being -2 since p < 0 then the parabola opens downward.

Attachment added for visual reference

7 0

2 years ago

In 2016 49% of all degrees granted were bachelors degrees if 1,920,718 students earned bachelors degrees how many total degrees

JulsSmile [24]

Answer:

Step-by-step explanation:

This problem is focused on percentages.

Now given that 49% of a number is 1,920,718

we can say let the number be x

so 49% of x= 1,920,718

now expressing this problem mathematically we have

(49/100)*x= 1,920,718

0.49x= 1,920,718

divide both sides by 0.49 we have

x= 1,920,718/0.49

x= 3919832.65306

Therefore the total that were granted degree that year was 3919832.65306

4 0

4 years ago

John who is 5 ft y’all is standing 20 feet away from a tree, and you measure the angle of elevation to be 38 degrees. How tall i

Contact [7]

Answer:

The height of the tree is 20.62ft

Step-by-step explanation:

Hello,

To solve this problem, we need to a good pictorial understanding of the situation.

See attached document for better illustration.

Next we find the value of x and then add the height of john to it.

To find x, we nee to use trigonometric ratio

SOHCAHTOA

Tanθ = opposite/ adjacent

θ = 38°

Adjacent = 20ft

Opposite = x

Tan38 = x / 20

x = 20tan38

x = 20 × 0.7812

x = 15.62ft

The height of the tree = x + John's height

Height of the tree = 15.62ft + 5ft

Height of the tree = 20.62ft

7 0

4 years ago