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3 years ago

What is the area of the trapezoid to the nearest tenth? PICTURE BELOW ⬇⬇⬇⬇

Mathematics

1 answer:

Nastasia [14]3 years ago

6 0

Answer:

62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

(8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

(8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

A = (1/2)(b1 +b2)h

A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite

Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent

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Jared gets paid $6.75 per hour. Last week he worked the following hours: Monday- 9.5 hours, Tuesday- 5 hours, Wednesday- 8.75 ho

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Answer:

$224.44

Step-by-step explanation:

Monday: $6.75x9.5=$64.13

Tuesday: $6.75x5=$33.75

Wednesday: $6.75x8.75=$59.06

Friday: $6.75x10= $67.50

Add them all up to get $224.44

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Step-by-step explanation:

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3 years ago

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3 years ago

A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these

Evgen [1.6K]

Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is $\frac{1}{9}$

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

$z^{2}=\frac{x}{y}$

substitute the values

$z^{2}=\frac{20}{180}$

simplify

$z^{2}=\frac{1}{9}$

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

$z=\frac{1}{3}$ ------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

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3 years ago

Mrs. Olga’s $250 investment earns 19% interest compounded annually. What will her balance be after 3 years?

Maurinko [17]

Answer:

The answer is A. $421.29

Step-by-step explanation:

Just keep finding 19% of the numbers next, and you add that all up and you get the answer.

250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475

354.025+67.26475=> 421.28975, which can round up to 421.29.

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3 years ago

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