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4 years ago

How many hours will it take to complete a 76km bike ride if you go bike ride if you go 14km per hour the whole time?

Mathematics

1 answer:

soldi70 [24.7K]4 years ago

8 0

To find the number of hours, divide the total distance by the speed.

Hours = 76 km / 14 km per hour

Hours = 4.529

Round the answer as needed.

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In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

$x \approx 33$

$\frac{\sin Y}{y} = \frac{\sin X}{x}$

$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

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2 years ago

What association does the scatter plot show

Verizon [17]

C. No Association
This is because there is no definitive line in the graph or upwards or downwards trend

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3 years ago

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In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Lesechka [4]

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

$\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}$

Since, $\frac{\text{AB}}{ED}=\frac{AC}{DC}$

$\frac{42}{6}=\frac{x}{(32-x)}$

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = $\frac{1344}{48}$

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

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3 years ago

A certain clock loses 15 minutes every hour. SUppose the clock is set to the correct time at 9am. What will the correct time be

Nikitich [7]

Answer:

from my understanding te correct time will be at 10:15am

Step-by-step explanation:

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3 years ago

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Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo

Damm [24]

0.5 + 0.75 = 1.25

1.25 rounds off to 1.

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3 years ago