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3 years ago

3. Maryia wants to save money on a new computer. At the store near her,

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

Step-by-step explanation:

So, what is happening is that the sale would put the computer on 4/5 the original price, since 1/5 of the price is being taken away in the sale.

4 divided by 5 is 0.8, and 0.8 times 400 is 320.

Hope this helps!

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Answer:

the bikers speed is 11mph

Step-by-step explanation:

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3 years ago

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Irina18 [472]

Answer:

TO FIND :-

Length of all missing sides.

FORMULAES TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$
$\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}$

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

$=> \sin 16 = \frac{7}{x}$

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2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

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$=> \frac{6}{x} = 0.48480......$

$=> x = \frac{6}{0.48480....} = 12.37599.....$ ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

$=> \sin 30 = \frac{x}{11}$

$=> \frac{x}{11} = 0.5$

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Length of side adjacent to θ = x

Hypotenuse = 12

$=> \cos 43 = \frac{x}{12}$

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Length of side adjacent to θ = x

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$=> x = 6 \times 0.57357.... = 3.44145....$ ≈ 3.4

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Length of side adjacent to θ = 8

Hypotenuse = x

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$=> x = \frac{8}{0.29237.....} = 27.36242.....$ ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

$=> \tan 69 = \frac{12}{x}$

$=> \frac{12}{x} = 2.60508......$

$=> x = \frac{12}{2.60508....} = 4.60636....$ ≈ 4.6

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Length of side opposite to θ = 11

Length of side adjacent to θ = x

$=> \tan 20 = \frac{11}{x}$

$=> \frac{11}{x} = 0.36397......$

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Answer:

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