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defon
3 years ago
9

A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.48?

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
$6.48- $6.00= $.48
.48÷ 6.0= 0.08
0.08 = 8%
tax rate is 8%
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How many digits are in the repetend of the decimal expansion for 2/41
AleksandrR [38]

Answer:

0.0487804878

Step-by-step explanation:

the answer will be 5 because it starts at 0.

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3 years ago
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
kap26 [50]

Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

r - Base radius of the cone, measured in inches.

s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

Where h is the altitude of the cone, measured in inches. If r >> h, then:

s \approx r

And:

A = \pi\cdot r^{2} +2\pi\cdot r

Given that A = 1885.7143\,in^{2}, the following second-order polynomial is obtained:

\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2}  = 0

Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0
3 years ago
On Tuesday, Marissa was $45 short of her fundraising goal. The next day, she was $5 over her goal write an equation to show how
scoray [572]

Answer: Hello daema, let's let x be the goal and c be the collection per day.

x - 45 + c = x + 5 is the answer so now let's talk about how we did that.

So she wants to get to x which is the goal. But right now she has 45 less than what her goal is. So that would look like this x - 45 now she has to get c or the collection per day to get to her goal. So now it looks like this x - 45 + c. Now that c has to be at least x which is her goal, it now will look like this x - 45 + c = x. But we're not done, the question said that now she 5$ over her goal, or x. So we have to add the + 5 onto the end so now it looks like this x - 45 + c = x + 5. To solve the equation "if you have to" it would be x = 50$ per day.

4 0
3 years ago
I need help with this please
givi [52]
C is 20 degrees. Pls mark brainliest
8 0
3 years ago
I’m confused wit this worksheet
m_a_m_a [10]

Okay so you see those dots located in the fist question right? locate the coordinates ( 1, 2)

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And now your new location for (1,2) should be (-2,5) because you moved the (1,2) dot 3 units to the left and 7 units up.

( now do the same for the rest of the other dots)

8 0
3 years ago
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