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3 years ago

Find the value of x for these. Geometry

Mathematics

1 answer:

diamong [38]3 years ago

3 0

I'll do the first problem to get you started.

Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.

The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.

(angle SRT) + (angle STR) = 90

(4x-8) + (6x+13) = 90 .... substitution

10x + 5 = 90

10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides

10x = 85

10x/10 = 85/10 .... divide both sides by 10

x = 8.5

Therefore the answer is choice A) x = 8.5

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Divide the following polynomial, then place the answer in the proper location on the grid.

beks73 [17]

6x² + 11x - 35 = (3x - 5)(2x + 7)

=> (3x - 5)(2x + 7)/(3x - 5)

i.e. 2x + 7...........as the 3x - 5 term cancels.

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3 years ago

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Nia and Joslynn were texting about how bored they were in their houses. They decided to compare quarantine snacks. Nia said her

devlian [24]

Answer:

56%

Step-by-step explanation:

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4 years ago

VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos

kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) = 50/158.36

(dh / dt) = 0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0

3 years ago

Read 2 more answers

A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia

Anettt [7]

Answer:

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

$V=\pi r^2h$

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

$6000=(3.141592654)(r^2)(40)$

Simplify on the right to get

$6000=125.6637061r^2$

Divide both sides by 125.6637061 to get that

$r^2=47.74648294$

Taking the square root of both sides gives you

r = 6.90988299

But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

5 0

4 years ago

Find the selling price of each item.<br> 57) Original price of a puppy: 339.50<br> Discount: 55

densk [106]

Answer:

The selling price of the puppy is $284.50.

Step-by-step explanation:

In the present case, the puppy's original selling price is $ 339.50. At this price a discount of $ 55 is made, that is, that amount is subtracted from the original price, modifying the sale price.

Therefore, since 339.50 - 55 results in 284.50, the puppy's sale price goes from $ 339.50 to $ 284.50, taking the aforementioned discount.

5 0

3 years ago