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Bezzdna [24]
4 years ago
8

The height of a trapezoid is 8 inches and it’s area is 96 inches. One base of the trapezoids is 6 inches longer than the other b

ase. What are the lengths of the bases? Explain how you found your answer
Mathematics
1 answer:
KonstantinChe [14]4 years ago
7 0
There is a common equation we use to find the Area of a trapezoid.
(a+b)h/2=A
Let's fill in what we know. We're not going to fill in any information about the bases.
(a+b)8/2=96
We can already tell that 8/2 will simplify to 4.
(a+b)4=96
Let's divide each side by 4.
a+b=24
Now, let's look at the information about the bases.
So, we will have this in terms of base a, since one base is longer than the other. This is how it'll look.
a +(a+6)=24
We can simplify that further.
2a+6=24
now subtract 6 from each side.
2a=18
Let's divide
9=a
So one side is 9, so the other one is 15. We should make sure everything makes sense by putting all the information in the formula to find area.
(9+15)8/2
24×4
96.
The lengths of the bases are 9 and 15 inches.

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A+B= -7 and AXB= -15
ZanzabumX [31]
A+b=-7
ab=-15

a=-7-b
b(-7-b)=-15

a=-7-b
-b^2-7b+15=0

a=-7-b
b^2+7b-15=0

a=-7-b
b=(-7±sqrt(109))/2
1) 
a=-7-b
b=(-7+sqrt(109))/2

b=(-7+sqrt(109))/2
a=-7+3.5-sqrt(109)/2

b=(-7+sqrt(109))/2
a=-3.5-sqrt(109)/2

2)
a=-7-b
b=(-7-sqrt(109))/2

b=(-7-sqrt(109))/2
a=-7+3.5+sqrt(109)/2

b=(-7-sqrt(109))/2
a=-3.5+sqrt(109)/2
7 0
4 years ago
Write a decimal where the value of a digit is one tenth as much as a digit in another place
GenaCL600 [577]
1.2 could be your answer
7 0
4 years ago
X^2-8xy+16y^2 factor completely
kicyunya [14]
Neato
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requires some trial and error
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ah hah

what 2 numbers multiply to get 16 and add to get -8
-4 and -4
(x-4y)(x-4y)
(x-4y)²
7 0
4 years ago
Read 2 more answers
An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 5 mile
Ghella [55]
Area of a circle=π*r^2
rate of change in area dA/dt=2*r*π 
at r=6 miles
dA/dt=2*2π=4π

hope i am right :)
6 0
3 years ago
A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding
dsp73

Answer:

On average, horses with and without enteroliths are fed the same amount of alfalfa per month

Step-by-step explanation:

Hello!

The veterinarian wants to research if eating alfalfa causes horses to have enteroliths.

The study variables are:

X₁: number of alfalfa flakes eaten over a month by a horse with enteroliths.

X₂: number of alfalfa flakes eaten over a month by a horse free of enteroliths.

She calculated a CI interval, with level 1 - α and the interval contained the cero.

With a significance level α, the hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

To decide whether you should reject or not the null hypothesis using a Confidence Interval is the following:

If the CI contains the number stated in the null hypothesis, the decision is to not reject the null hypothesis.

If the CI doesn't contain the number stated in the null hypothesis, then the decision is to reject the null hypothesis.

Since the interval contains the cero, if 1 - α and α are complementary, the decision is to reject the null hypothesis.

This means that at a level of significance of α, you can conclude that there is no difference between the population means of the numbers of alfalfa flakes eaten by horses with or without enteroliths.

I hope it helps!

7 0
3 years ago
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