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2 years ago

What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

6 0

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
$b=AD+DC$
Use Pythagorean theorem twice:
$AD^{2}+9.4^{2}=7.9^{2}$
$AD=5.09$

$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
$b=26.9$

And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$

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2 years ago

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2 years ago

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3 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

X = a fisher at Clearwater Park had a fishing license

Y = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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3 years ago

The product of 5 and m squared, increased by the sum of the square of m and 5

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3 years ago