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3 years ago

What is the area of the shaded region??

Mathematics

2 answers:

NikAS [45]3 years ago

6 0

The answer is 48 units squared

Juliette [100K]3 years ago

5 0

Width of shaded part:

6^2+2^2=w^2
36+4=w^2
40=w^2
w= sqare root 40
w= 6.32455532

length of shaded part:

12^2+4^2=l^2
144+16=l^2
160=l^2
l=square root of 160
l=12.6491106407

area=12.6491106407*6.32455532
=79.9999999959which is 80, because those decimals are endless, if you multiply 12.6491106407*6.32455532, answer wouldn't be accurate, so you should round up to 80. If you use another way to solve the q, which is calculate the bigger rectangle and then subtract the area of the triangles, you will get 80 as your answer.

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Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

3 0

3 years ago

B. Find the balance of the account.<br> $

DiKsa [7]

What account? :| it doesn’t have an image or anything

4 0

3 years ago

A local salesman receives a base salary of $975 monthly. He also receives a commission of 7% on all sales over $1250. How much w

slava [35]

Answer:

$17,321.43

Step-by-step explanation:

The amount of monthly income from commissions would have to be ...

$2100 -975 = $1125

This is 7% of sales over $1250, so the sales (s) would need to be ...

1125 = 0.07(s -1250)

1125 = .07s -87.50 . . eliminate parentheses

1212.50 = 0.07s . . . . add 87.50

17,321.43 = s . . . . . . . divide by 0.07

He would have to sell $17,321.43 in a month if he needed an income of $2100.

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3 years ago

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WITCHER [35]

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5 0

2 years ago

Divide 4/5 by 2/3.<br> a. 8/15b. 5/6c. 1 1/5d. 1 7/8

Ivan

4/5÷2/3=x
4/5×3/2=x
12/10=x
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5 0

3 years ago