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insens350 [35]
3 years ago
8

The length of the base of a triangle is twice its height. if the area of the triangle is 121 square​ kilometers, find the height

.
Mathematics
1 answer:
mariarad [96]3 years ago
3 0
B = 2h

Area = 121
1/2 × b × h = 121
1/2 × 2h × h = 121
h × h = 121
h^2 = 121
h = square root of 121
h = 11

The height is 11 kilometers
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Can someone help me?
zaharov [31]

Answer:

Step 1: Combine like terms

Step 2: Distributive Property

Step 3: Addition Property Of Equality

Step 4: Multiplication property of equality

Step 5: Division property of equality

Step-by-step explanation:

8 0
3 years ago
Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether
svet-max [94.6K]
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

3 0
2 years ago
HURRY !!
LekaFEV [45]

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

Step-by-step explanation:

Step 1 is correct.

Step 2.

-9.2 >= x

Subtract x from both sides.

-x - 9.2 >= 0

Add 9.2 to both sides.

-x >= 9.2

Divide both sides by -1. When you multiply or divide both sides of an inequality, the inequality sign changes direction.

x <= -9.2

The first error is in Step 2.

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

8 0
3 years ago
Read 2 more answers
Need help and I need to show my work ?? Can someone help
vodka [1.7K]
Answer is D.
Just plug in 2 for x and -2 for y. And solve
7 0
3 years ago
Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An
alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

3 0
3 years ago
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