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Effectus [21]
2 years ago
12

A rope with a length of 3.5 meters is tied from a stake in the ground to

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

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Wasn’t sure how to write this out : - )
amid [387]

we are given

\frac{\sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}

we can write it in terms of exponents

\frac{7^{\frac{1}{3}}*7^{\frac{1}{2}}}{7^{\frac{5}{6}}}

Firstly , we will simplify numerator

\frac{7^{\frac{1}{3}+\frac{1}{2}}}{7^{\frac{5}{6}}}

now, we can add exponents

\frac{7^{\frac{5}{6}}}{7^{\frac{5}{6}}}

we can cancel it

and we get

=1............Answer

5 0
3 years ago
A publishing company is going to have 24,000 books printed. There are between 3 and 4 books out of ever 3,000 that will have a p
vaieri [72.5K]

Answer:

C. 31

Step-by-step explanation:

3000 there are 3-4 errors

If we first divide 24,000 by 3,000, will get 8

then since there a error for each 3,000 books, we do 8 x 4 = 32 and 8 x 3 = 24

32 (8 x 4)  the max amount of printing errors

24 (8 x 3) the minimum amount of printing errors

So we should expect 24-32 printing errors

Only answer between the numbers is c. 31

4 0
3 years ago
Solve the quadratic equation by square roots:<br><br> 1. 4x²= 81<br> 2. (4x-3)²+7=39
Nataly [62]

Answer:

see explanation

Step-by-step explanation:

(1)

given

4x² = 81 ( divide both sides by 4 )

x² = \frac{81}{4} ( take the square root of both sides )

x = ± \sqrt{\frac{81}{4} } = ± \frac{9}{2}

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

(2)

subtract 7 from both sides

(4x - 3)² = 32 ( take the square root of both sides )

4x - 3 = ± \sqrt{32} = ± 4\sqrt{2}

Add 3 to both sides

4x = 3 ± 4\sqrt{2} ( divide both sides by 4 )

x = \frac{3}{4} ± \sqrt{2}

7 0
3 years ago
analyze how the circumference of a circle would change if the diameter was doubled. provide an example to support your explanati
Lapatulllka [165]

The circumference would also be doubled. The formula to find circumference is 2π r; since radius is just the diameter divided by two, if you double it the radius also doubles. All in all, this doubles the circumference. For example, if the diameter was 10, the radius would be 5. Circumference for this circle would equal 31.4. Now, if you were to double the diameter to equal 20, thus making the radius 10, the circumference would be 62.8.
5 0
3 years ago
Mary makes herbal teas to sell . Her most popular blend is a combination of 2 kinds of mint, 75% spearmint and 25% peppermint, b
Lapatulllka [165]

Mary should charge $8.0 per ounce.

From the question the herbal tea is a blend of 2 kinds of mint:

75% spearmint- $2.25

25% peppermint-$ 2.75.

The  cost of producing one ounce is:

75% spearmint- $2.25 + 25% peppermint-$ 2.75. =$5

The cost of the tea if it is to be sold 1.6 times will be calculated thus;

$5×1.6= $8.0

To get the new cost of the mint tea blend, the old cost is thus, multiplied by 1.6. This gives us the new cost of the mint tea blend.

Therefore cost per ounce will be $8.0

learn more about  cost and selling price on

brainly.com/question/15740948

#SPJ1

5 0
1 year ago
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