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alexandr402 [8]
3 years ago
11

What is the value of x in the triangle?

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{x}{8} = \frac{1}{2} ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

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rewona [7]

Answer:

Step-by-step explanation:

3)A fence is made up of eight 8 5/7-foot sections. This means the total number of feet's is 8 × 8 5/7. Expressing 8 5/7 as improper fraction, it will be 61/7 feet's

The total length of the fence =

8 × 61/7 = 488/7 feet's

Expressing as mixed fraction, it becomes

69 5/7 feets

4) Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. This means that the time she spent on the gym is 3/4 × 21 3/4 .

Converting 21 3/4 to improper fraction, it becomes 87/4

The time she spent on the gym

= 3/4 × 87/4 = 261/16

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5) On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. Converting to improper fractions,

the miles ran on Monday= 1 ½ miles = 3/2 miles

the miles jogged on wednesday = 2 1/3 miles = 7/3 miles

How much farther did Ryan jog on Wednesday than on Monday? This would be 7/3 - 3/2

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5 0
3 years ago
Please Help, 20 points and brainiliest, URGENT.
ch4aika [34]

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.

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3 years ago
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Oliga [24]

Answer:

is this weird but in all my years of school I've never learn something like this

7 0
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andriy [413]

Answer:

D.

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be \frac{1}{3} , and \frac{5}{1} would be -5. The equation is written in slope-intercept form:

y=mx+b

m is the slope, so find the equation with the opposite reciprocal of 3, -\frac{1}{3}:

y=-\frac{1}{3} x+4 is the only option with the correct slope, so the answer is D.

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When somebody tells there friend there da best does that mean they think that they’re better then anyone else???
Otrada [13]

Answer:

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Step-by-step explanation:

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3 years ago
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