What is the total price of a $21 item including 7.5% sales tax?? plz explain how you get the answer

Answers

Answer 1

Answer: In order to get the total price, we need to figure out 7.5% of 21, then add that number to 21.

In order to get 7.5% of 21, we just multiply 21 by 0.075 (since 7.5% ind decimal form is 0.075)

$21(0.075)=1.575$

Then, we add that number to 21.

$21+1.575=22.575$

The answer is 22.575, which we can round to $22.58.

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A 14 foot ladder is used to scale a 13 foot wall.At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Answers

The angle of elevation must be 68.202 degrees

Solution:

Given that, 14 foot ladder is used to scale a 13 foot wall

We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall

The figure for this solution is attached below

The ladder, wall and the ground forms a right angled triangle

ABC is a right angled triangle

AB is the height of wall = 13 feet

AC is the length of ladder = 14 feet

We have to find the angle of elevation

Let the angle of elevation be "x"

For right angled triangle ABC, We can use the definition for sine

$\sin x=\frac{\text { opposite }}{\text { hypotenuse }}$

Here, in figure, opposite = AB and hypotenuse = AC

$\sin x=(A B)/(A C)\n\n\sin x = (13)/(14)\n\n\sin x = 0.9285\n\nx = sin^(-1)(0.9285)\n\nx = 68.202$

Thus the angle of elevation must be 68.202 degrees

The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.

What is a right triangle?

A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.

Therefore, the angle of elevation can be calculated as follows;

The length of the ladder is the hypotenuse.

The opposite side is the height of the wall.

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 13 / 14

∅ = sin⁻¹ 0.92857142857

∅ = 68.2129901712

∅ = 68°

learn more on right triangle here: brainly.com/question/22479729

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HELPP please in number 19 thank u so much

Answers

Ted's error is that he did not follow proper order of operations... PEMDAS stands for the order in which you approach all problems in math... Parentheses, exponents, multiplication, division, addition, then subtraction.

Ted multiplied the exponents first instead of completing the operations inside the parentheses. The result was that the sign of his base is incorrect. Here is how it should have gone...

[(-a)^2]^4 =
(a^2)^4 =
a^2×4 =
a^8

The paper around a snow cone has a slant height of 6 inches and a diameter of 3 inches. About how many square inches of paper are needed to make a snow-cone cup

Answers

make a what you didnt finish the question

Monica is buying a new dress for herjob interview at Amazon. The total

(without tax) is $65.49.

If she is shopping in Pearland, where

the sales tax rate is 8.25%, what will

be the AMOUNT OF SALES TAX for

her dress (remember to round to two

decimal places since it's money)?

What’s the answer

Answers

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

When rewriting a literal equation in terms of a specific variable, you may need to divide by which of the followingoptions? Select all that apply.
o Variable
Variable Expression
o Number
Inequality Sign

Answers

9514 1404 393

Answer:

Variable
Variable Expression
Number

Step-by-step explanation:

You may need to divide by any of the terms or expressions that make up an equation. You will not be dividing by math symbols, such as an inequality sign.

rita is hiking along a trail that is 13.7 miles long. so far she has hiked along 1/10 of this trail. how far has Rita hiked?