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2 years ago

3) Construct triangle PQR such that PQ = 6 cm, angle PQR =

Mathematics

1 answer:

raketka [301]2 years ago

8 0

Step-by-step explanation:

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this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

marissa [1.9K]

Answer:

r = 3V/(2πh²)
h = 3V/b²
r = 25/π cm ≈ 7.9577 cm
w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

$V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}$

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

$V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}$

3. Solve the circumference formula for r, then substitute the given information.

$C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}$

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

$P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}$

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0

3 years ago

Solve for y 4/7t+2:7=6

Art [367]

Answer:

1/7

Step-by-step explanation:

4 0

1 year ago

A group of scientists have been sent on an expedition to test the soil in the Allegheny Mountains. They need to collect samples

3241004551 [841]

It’s B. 52 units ...

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2 years ago

Read 2 more answers

Factorise : x^2+x-72 Step by Step

Ivan

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

= x^2 - 8x + 9x - 72

= (x^2 - 8x) + (9x - 72)

= x(x - 8) + 9(x - 8)

= (x + 9)(x - 8)

4 0

2 years ago

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Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answe

Otrada [13]

<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
</span>On September 22, the sun’s rays form a 90° angle at noon at the equator.

Formula for calculating noon sun angle is:

Noon_sun_angle = 90° - Zenith angle

We have complementary angles so we need to substract zenith angle from 90°.

The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.

New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°

Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°

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3 years ago

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