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Answer 1

Answer:

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

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A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.
In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88. Write an equation to determine the original price per pound (p) and then find the original price per pound.
0What is the value of 12?
131 is what percent 2,400,000?

If it is 12:50, what will the time be 5 hours and 20 minutes later?5:30
5:50
6:10
6:50

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12:50 + 5hrs = 5:50
5:50 + 20 minutes = 5:70
60 minutes in 1 hour
therefore
70 - 60 = 10
6:10 (plus one hour that you take away from 70)

A box contains 15 cards. There are 5 red cards labeled 1, 2, 3, 4, and 5. There are 5 blue cards labeled 1, 2, 3, 4, and 5. There are 5 green cards labeled 1, 2, 3, 4, and 5. One card is drawn from the box.What is the probability that it is a blue card with an even number or a red card with an odd number?

A.1/3

B.1

C.2/5

D.6/225

Answers

The answer is (A) 1/3.

Should be A. 2 evenly numbered blue cards, plus 3 odd numbered red cards. Which makes 5/15, which then simplifies to 1/3.

Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. A)C = 5π; A = 20π

B)C = 10π; A = 20π

C)C = 10π; A = 25π

D)C = 5π; A = 25π

Answers

A = π • r^2
C = 2 • π • r

A = 25 π
C = 10 π

Your answer is C) 10π; A = 25π

Answer:

C) C = 10π ; A=25π

Step-by-step explanation:

We are ask to find the circumference and area of a circle with a diameter of 10 inches, but we are to leave our answer in terms of π

First lets start by calculating the circumference.

The formula for calculating circumference of a circle is;

circumference = 2πr where r=radius

But we were given diameter in the question to be 10, r = $(d)/(2)$ = $(10)/(2)$ = 5

We can now proceed to insert our value into the equation

Circumference = 2 × π × 5 = 10π

Lets now go ahead to calculate the area of the circle

To calculate area of the circle, we use the formula;

Area = πr²

= π×5×5

=25π

Therefore C = 10π and A=25π

Pls halp due today thank you!

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Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Answer:

Step-by-step explanation:

Simplify $(x^3-x+1)/( √(x) )$

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Divide each term by $√(x)$ to get $x^(2) √(x) - √(x) + ( √(x) )/(x)$

$(x^(3) - x + 1)/(√(x)) = (x^(3) - x + 1)/(√(x)) * (√(x))/(√(x)) = ((x^(3) - x + 1)√(x))/(x) = (x^(3)√(x) - x√(x) + √(x))/(x) = x^(2)√(x) - √(x) + (√(x))/(x)$

Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.7 sec^2 x(1 − sin^2 x)

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The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.

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