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4 years ago

Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the

Mathematics

1 answer:

Alex4 years ago

7 0

Answer:

Part A. He exercised for 1.5 hours.

60 + 30 = 1.5 hours.

Part B. Jacob spends 15 minutes doing freehand exercise.

Part C. No, because he spent 1.5 hours altogether.

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Express the ratio 700g to 1.75kg in its lowest terms.

Ugo [173]

Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

3 0

3 years ago

Find the values of x and y. Write your answers in simplest form

SCORPION-xisa [38]

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 45^\circ=\frac{6}{y}$

Solving for y:

$\displaystyle y=\frac{6}{\cos 45^\circ}$

$\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$

Substituting:

$\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}$

$y=6\cdot \sqrt{2}$

Now use the tangent ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 45^\circ=\frac{x}{6}$

Solving for x:

$x=6\cdot\tan 45^\circ$

$\tan 45^\circ=1$

Substituting:

$x=6\cdot 1$

$x =6$

Answer:

$x =6$

$y=6\cdot \sqrt{2}$

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3 years ago

12.3 + 17.8 - ( 3.3 x 2 )

beks73 [17]

The answer to this problem is 23.5 . You are going to start by multiplying whats inside the paranthesis’s and then you’re going to calulate the sum and then difference and you should be left with 23.5

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The distance is equal to 20

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