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2 years ago

Can someone please help

Mathematics

1 answer:

dimaraw [331]2 years ago

3 0

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sinθ = $\frac{AC}{AB}$

= $\frac{1500}{5000}$

$\theta=\text{sin}^{-1}(\frac{3}{10})$

$\theta=17.46$ degrees

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Airida [17]

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4. 5ax - 12 - ax
= (5ax -ax) -12

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Hope this helps~

7 0

2 years ago

On every sale he makes, Bill earns a commission. On a bed he sells for $591, Bill earns a $43 commission. Find the percent commi

user100 [1]

The percent of commission is 7.3% to the nearest tenth of a percent

Step-by-step explanation:

The given is:

Bill earns a commission on every sale he makes
He sells a bed for $591 and earns a $43 commission

We need to find the percent commission

To find the percent of commission divide the commission by the selling price and multiply the answer by 100%

∵ His commission is $43

∵ The selling price is $591

∵ The percent of commission = $\frac{commission}{selling price}$ × 100%

∴ The percent of commission = $\frac{43}{591}$ × 100%

∴ The percent of commission = 7.2758%

- Rounded it to the nearest tenth percent

∴ The percent of commission = 7.3%

The percent of commission is 7.3% to the nearest tenth of a percent

Learn ore:

You can learn more about the percent in brainly.com/question/6871421

#LearnwithBrainly

5 0

2 years ago

Quadrilateral ABCD is inscribed in circle Pas shown. Which statement is necessarily true?

Svetradugi [14.3K]

Given:

Quadrilateral ABCD is inscribed in a circle P.

To find:

Which statement is necessarily true.

Solution:

Quadrilateral ABCD is inscribed in a circle P.

Therefore ABCD is a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles form a supplementary angles.

⇒ m∠A + m∠C = 180° --------- (1)

⇒ m∠B + m∠D = 180° --------- (2)

By (1) and (2),

⇒ m∠A + m∠C = m∠B + m∠D

This statement is necessarily true for the quadrilateral ABCD in circle P.

5 0

2 years ago

Which equation represents a line with a slope of 5/2and a y-intercept of -8/3

Ludmilka [50]

Answer:

y=5/2x-8/3

Step-by-step explanation:

The equation is y=mx+b

M is the slope and b is the y-intercept.

7 0

2 years ago

The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $

garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0

2 years ago