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anastassius [24]
3 years ago
14

Two sides of a right triangle measure 7 units and 3 units. What is the area of the square that shares a side with the third side

of the triangle?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

We can use the Pythagorean theorem to find the length of the third sides.

c²=a²+b²

Where c is the longest (unkwon ) side, a and b are the remaining sides. So,

c²=7²+3²

= 49+9

= 58

So, c=√58

So, the length of the third side or the side length of square is √58.

So, the area of the shaded region (square)= c²

=(√58)²

=58

So, the area of the square is 58 units².

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The time taken to prepare the envelopes to mail a weekly report to all executives in a company has a normal distribution, with a
telo118 [61]

Answer:

Mailing preparation takes 38.29 min max time to prepare the mails.

Step-by-step explanation:

Given:

Mean:35 min

standard deviation:2 min

and 95%  confidence interval.

To Find:

In normal distribution mailing preparation time  taken less than.

i.eP(t<x)=?

Solution:

Here t -time and x -required time

mean time 35 min

5 % will not have true mean value . with 95 % confidence.

Question is asked as ,preparation takes less than  time means what is max time that preparation will take to prepare mails.

No mail take more time than that time .

by Z-score or by confidence interval is

Z=(X-mean)/standard deviation.

Z=1.96 at  95 % confidence interval.

1.96=(X-35)/2

3.92=(x-35)

X=38.29 min

or

Confidence interval =35±Z*standard deviation

=35±1.96*2

=35±3.92

=38.29 or 31.71 min

But we require the max time i.e 38.29 min

And by observation we can also conclude the max time from options as 38.29 min.

4 0
4 years ago
(GEOMETRY) 30pts<br> Which triangles area can be calculated using the trigonometric area formula
viva [34]

Answer:

C.

Step-by-step explanation:

(B. looks like it may also be one).

4 0
3 years ago
Simply the monomials below<br><br>(-8x⁴ y³)•(2x⁵ y²)+7x⁹ y⁵​
vlada-n [284]

Answer:

-9x^9y^5

Step-by-step explanation:

Do the multiply first:

-16x^9y^5+7x^9y^5

=x^9y^5(-16+7)

=-9x^9y^5

6 0
3 years ago
Read 2 more answers
Can somebody help me please
SpyIntel [72]
<h2>Answer:</h2><h3>f(4) = 122</h3>

________________________________________________

<h3>Calculate</h3>

Substitute\ x=4\ into\\ f(x)=7x^2+4x-6

_________________________________________________

<h3>Substitute</h3>

f(4)=7\times 4^2+4\times 4-6

___________________________________________________

<h3>Calculate the power</h3>

f(4)=7\times 16+4\times 4-6

___________________________________________________

<h3>Calculate the product or quotient</h3>

f(4)=112+4\times 4-6\\ f(4)=112+16-6

___________________________________________________

<h3>Calculate the sum or difference</h3>

f(4)=128-6\\ f(4)=122

<em>I hope this helps you</em>

<em>:)</em>

6 0
3 years ago
Mrs. Thomas bought 2/4 yard of one fabric and 3/4 yard of a different fabric. How many total yards of fabric did she buy?
natta225 [31]
It is 5/4 yards, you just add 
When the denominator ( the bottom number ) is the same, just add the numerator ( the top number ) together :) 
hope this help

8 0
3 years ago
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