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3 years ago

Kite ABCD has an area of 48 ft2. Calculate the length of AC. A. 6 ft B. 12 ft C. 18 ft

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

B. 12ft

Step-by-step explanation:

Area of kite is 2 times the area of triangle

= 2[(1/2)(4)AC] = 48, ie., AC = 12 ft

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Consider the function f(x)=−5x−8 and find the following: a) The average rate of change between the points (−1,f(−1)) and (3,f(3)

kipiarov [429]

Answer:

a. -5

b.-5

c.-5

Step-by-step explanation:

In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.

Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is

ARC = [f(x2)-f(x1)]/ (x2-x1)

In case a)

f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23

Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5

In case b)

f(a)= (-5a-8)

f(b)= (-5b-8)

Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5

In case c)

f(x)= -5x-8

f(x+h)= -5(x+h)-8= -5x-5h-8

then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5

3 0

3 years ago

What are all the fractors of 21 and of 30?

iren2701 [21]

21= 1,3,7,21
30= 1,2,3,5,6,10,15,30

common factors= 1,3

8 0

4 years ago

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all

Jobisdone [24]

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

$p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713$

0.0713 = 7.13% probability that the result is positive.

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2 years ago

Please help me solve the expression for “n”

Bingel [31]

Answer:

n = 2

Step-by-step explanation:

In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:

n + 7 = 9

n = 9 -7 . . . . . . subtract 7 from both sides of the equation

n = 2

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Alternatively, you can simplify the given expression:

$\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}$

Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.

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3 years ago

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MrRissso [65]

Answer:

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Step-by-step explanation:

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3 years ago

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