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Andre45 [30]
3 years ago
10

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 3

4.00

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

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The photo below shows the Royal Ontario Museum in Toronto, Canada. Are angles 2 and 4 alternate interior angles, same side inter
Sav [38]

Answer:

Alternate interior angles

8 0
3 years ago
A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w
PolarNik [594]

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

8 0
3 years ago
Which of the following is a solution of x2 + 4x + 10?
alexira [117]
The solution is 4x+2x=6x then 6x+10=solution
4 0
2 years ago
Read 2 more answers
1000+50-36+7×9+8÷5×2+1​
melomori [17]

Answer:

949.2

Step-by-step explanation:

To solve this equation, you must use P.E.M.D.A.S...

First, solve 7x9 and 5x2...

7x9= 63  5x2 = 10

So...

1000+50-36+63+8÷10+1

Next, solve 8÷10 and get 0.8

So...

1000+50-36+63+0.8+1

Then, solve 1000 + 50, and 36+63, and that result with 0.8 and that with 1.

So...

1050-100.8

The Solve!

949.2

Hope this helps!

<em>-kiniwih426</em>

7 0
3 years ago
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that
Airida [17]

Answer: 55,811.91

Step-by-step explanation:

Given

Principal amount is 25,000

Time Period is t=15\ yr

Rate of interest r=5.5\%

Amount in compound interest is given by

\Rightarrow A=P\left(1+r\%\right)^t

Insert the values

\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91

Therefore, 55,811.91 must be paid back

7 0
2 years ago
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