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hichkok12 [17]
3 years ago
8

Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of on

e wall in her daughter's bedroom?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0
The wall would be 216.72 feet for Joanna’s wall.
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Math question #1 please show steps
-Dominant- [34]

Answer:

C

Step-by-step explanation:

An approximation of an integral is given by:

\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}

First, find Δx. Our a = 2 and b = 8:

\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}

The left endpoint is modeled with:

x_k=a+\Delta x(k-1)

And the right endpoint is modeled with:

x_k=a+\Delta xk

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

f(x)=\cos(x^2)

Therefore:

f(x_k)=\cos((a+\Delta x(k-1))^2)

By substitution:

\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)

Putting it all together:

\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0
3 years ago
Next week the store is going to reduce the price from $42 to $31.50. Calculate what percent the sale price is of retail price.
Studentka2010 [4]

Answer:

13.23 is 31.50 percent of 42 and the price they dropped down was $10.5

Step-by-step explanation:

hope this helps pls mark me as brainliest! :)

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=9x-3%20%5Cleqslant%2011x%20-%203" id="TexFormula1" title="9x-3 \leqslant 11x - 3" alt="9x-3 \l
AURORKA [14]

Answer:

0 ≤x

Step-by-step explanation:

9x-3 ≤11x-3

Subtract 9x from each side

9x-9x-3 ≤11x-9x-3

-3 ≤2x-3

Add 3 to each side

-3+3 ≤2x

0 ≤2x

Divide by 2

0/2 ≤2x/2

0 ≤x

6 0
3 years ago
A motor is 85.4 % efficient: that is, the output is 85.4 % of the input. What is the input if the motor delivers 10.75 hp. ( Rou
Ludmilka [50]

Answer:

12.6 hp

Step-by-step explanation:

Represent the input by n.                              10.75 hp

Then 0.85n = 10.75 hp, and n (the input) is --------------- = 12.6 hp

                                                                           0.85

5 0
4 years ago
How much would a 20% tip be
Blababa [14]

Answer: 1.18 OR 0.18

Step-by-step explanation:

6 0
3 years ago
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