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maxonik [38]
1 year ago
11

Lionel bought a computer with a cost of $890. The state sales tax rate is 8.25%. What is the total cost of the computer includin

g the sales tax? $
Mathematics
1 answer:
BabaBlast [244]1 year ago
5 0
Answer is $963.43

Step by step.

The computer is $890. Sales tax is 8.25%.

Multiply $890 x 8.25% (or .0825) and add that tax to the cost.

$890 x 8.25% = 73.43.
$890 + 73.43 = $963.43 is your answer.
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From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

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3 years ago
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10^6 = 1,000,000

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The judicial branch is important because it complements the other two branches. The executive branch defends the country and enforces the law, the legislative passes, amends and repeals laws, and the judicial branch interprets the law and passes punishment.

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