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mr_godi [17]
3 years ago
6

Denise is planning to put a deck in her back yard. The deck will be a 10-by-7-foot rectangle with a semicircle of diameter 4 fee

t, as shown below. Find the area of the deck (in square feet).(round your answer to two decimal places)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

approx. = 85.28 {ft}^{2}

Step-by-step explanation:

You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.

(l×w)+(πr^2)/2

(10×7)+((π2^2)/2

79+2π

approx. = 85.28 {ft}^{2}

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By what percent has the rhinoceros weight increased
romanna [79]

let's first off  convert those mixed fractions to improper fractions, then get their difference.

\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{10}-\cfrac{3}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(1)21-(5)3}{10}}\implies \cfrac{21-15}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}

now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2}\\ \frac{3}{2}&100\\\\ \frac{3}{5}&x \end{array}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{5}}=\cfrac{100}{x}\implies \cfrac{3}{2}\cdot \cfrac{5}{3}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40

4 0
3 years ago
Find the surface area of a box measuring 4 inches long 3 inches wide and 6 inches tall
Rufina [12.5K]

4*3

12

12*6

72

hope it help

3 0
3 years ago
What is m (There is no multiple choice just find m
Sauron [17]

Answer:

160 degrees.

Step-by-step explanation:

Line ABC is a straight line, and the angle on a straight line is always 180 degrees.

Since ABD + DBC = ABC, we know that x+8x=180

9x=180

Divide both sides by 9:

x=180\div 9=20

DBC is 8x=8\times 20=160 degrees.

4 0
3 years ago
I just need a confirmation that my answer is right? Find side AC. Round to the nearest hundredth.
hjlf
Your procedure is perfect, you're fine, however, bear in mind that, in a calculator when plugging in values for some functions, specially trigonometric ones, if you tell it cos(40), and the calculator is in Radian mode, it thinks you meant cosine of 40 radian units, if you give it cos(40) and it's in Degree mode, it thinks you meant 40°, and 40 radians is hugely different than 40°.

so, make sure your calculator is in Degree mode, as you'd have guessed, it isn't.
5 0
3 years ago
Please help which one is the answer
drek231 [11]

Answer:

The second bubble

Explanation

You need to make your exponents equal the other side so to do this;

Distribute the 3 in the exponent "3(x-2)"

Which is 3x-6

And since multiplying exponents adds them, you need a -6 to make the two equal.

So your exponent should equal -6 to make that statement true

6 0
3 years ago
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