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4 years ago

What is the sales tax rate?

Mathematics

1 answer:

Allisa [31]4 years ago

8 0

Hello there! We are solving for the tax rate, so let's start off by subtracting both prices. 4.32 - 4.00 is 0.32. That's a 32 cent difference in the price. Now, let's divide that number by the original price to find the percentage. 0.32/4 is 0.08. Multiply that number by 100 and that is 8%. There. The sales tax rate is 8%.

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For the trapezoid below, what is the correct term for RT?

pickupchik [31]

The correct answer is a Leg (answer A).

An apothem would be a segment a segment formed formed from the center of a regular polygon that intersects one of its sides at 90°. In a trapezoid, the sides adjacent to the bases (because there’s two bases) are called legs.

7 0

3 years ago

A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake a

Bond [772]

Answer:

<em> Length of guy wire is 590.6 ft</em>

Step-by-step explanation:

The complete question is

A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is 20°

using sin ∅ = opp/hyp

sin 20° = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>

3 0

3 years ago

I've done every problem I only need with the help this problem

bulgar [2K]

Answers:

$\displaystyle \lim_{x \to 2^{+}} f(x) = 1\\\\\displaystyle \lim_{x \to 2^{-}} f(x) = 1\\$

Both result in the same limit value. This allows us to say $\displaystyle \lim_{x \to 2} f(x) = 1$ without the plus or minus over the 2.

The left and right hand limits may not always match like this.

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Explanation:

The notation $\displaystyle \lim_{x \to 2^{+}} f(x)$ means that we are approaching x = 2 from the right hand side. This is from the positive direction. So we start at say x = 3 and move to x = 2.5 then to x = 2.1 then to x = 2.01 and so on.

Because we started with values x > 2, we will use the third definition of the piecewise function

if x > 2, then f(x) = 3x-5

Plug in x = 2 to get

f(x) = 3x-5

f(2) = 3(2)-5

f(2) = 6-5

f(2) = 1

This shows $\displaystyle \lim_{x \to 2^{+}} f(x) = 1$

-----------------------------

For the other limit, we're approaching x = 2 from the negative side. So we could start at say x = 0, then move to x = 1, then to x = 1.5 then to x = 1.9 then to x = 1.99, and so on.

We're using x values such that x < 2 now.

So we'll be using the first definition of the piecewise function

If x < 2, then f(x) = x^2 - 3

f(x) = x^2-3

f(2) = 2^2-3

f(2) = 4-3

f(2) = 1

We end up with $\displaystyle \lim_{x \to 2^{-}} f(x) = 1$

---------------------------------

Both right hand limit and left hand limit result in the same value

Because $\displaystyle \lim_{x \to 2^{+}} f(x) = \displaystyle \lim_{x \to 2^{-}} f(x) = 1$

We can shorten that to $\displaystyle \lim_{x \to 2^{}} f(x) = 1$ meaning we can approach x = 2 from either direction to arrive at the same limiting value.