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2 years ago

Which equation is a related equation? x + 15 =24

Mathematics

2 answers:

Agata [3.3K]2 years ago

7 0

The answer to the question is a

Mars2501 [29]2 years ago

6 0

Your answer would be a

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A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind

Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

$Time=\dfrac{Distance}{Speed}$

According to the question,

$\dfrac{450}{315+x}=\dfrac{360}{315-x}$

Divide both sides by 90.

$\dfrac{5}{315+x}=\dfrac{4}{315-x}$

By cross multiplication, we get

$5(315-x)=4(315+x)$

$5(315)-5x=4(315)+4x$

$5(315)-4(315)=4x+5x$

$(5-4)315=9x$

Divide both sides by 9.

$\dfrac{(1)315}{9}=x$

$35=x$

Therefore, the speed of wind is 35 miles per hour.

4 0

2 years ago

Classify the following triangle. check all that apply

Karo-lina-s [1.5K]

Answer:

Options (A), (B)

Step-by-step explanation:

Option A.

Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.

Option (B).

Given triangle has a right angle. Therefore, it's a right triangle.

Option (C).

Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.

Option (D).

Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.

Option (E).

A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.

Option (F).

Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.

5 0

2 years ago

A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the

photoshop1234 [79]

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

8 0

2 years ago

9.84 x 0.26 SHOW WORK!!!!!!!!!!!!!!!

Andrews [41]

Answer:

2.5584

Step-by-step explanation:

9.84 * 0.26

= 9.84(0.2 + 0.06)

= 1.968 + 0.5904

= 2.5584

8 0

2 years ago

Read 2 more answers

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

2 years ago