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ser-zykov [4K]
3 years ago
6

The area of the right triangle shown is 24 square feet.

Mathematics
2 answers:
lukranit [14]3 years ago
6 0
Correct answer:
A) 0.5 x(x+2) =24 = 24
D) X^2 + 2x - 48 = 0
E) x^2 + (x+2)2 = 100



To check the rest unwrap the bracket
x^2+(x+2)^2=100
x^2+x^2+4+4x=100
2x^2+4x+4=100
2x^2+4x-96=0
umka21 [38]3 years ago
5 0

Answer:

X=16ft

Step-by-step explanation:

area of right angled triangle = 1/2(base× perpendicular)

24ftsquare = 1/2 (X+2×X)

24×2ft square = 3X ft

48ftsquare = 3x ft

X = 48ftsquare÷ 3ft

therefore X = 16ft

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The amount of soil in the gardening box is an illstration of volume

The maximum amount of planting soil that can be used to fill the gardening box is 2969696 cubic yards

<h3>How to determine the amount of planting soil needed</h3>

The dimension of the gardening box is given as:

Length = 412 yd

Width = 212 yd

Height = 34 yd

Assume that the dimensions of the gardening box are not too thick.

The volume of the box is the product of its dimensions.

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Volume = 412 yd * 212 yd * 34 yd

This gives

Volume = 2969696 cubic yards

Hence, the amount of soil that can be used to fill the gardening box is 2969696 cubic yards (none of the options is correct)

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What is 10 + 12 and what is 12 + 10
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Hi ^-^

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John and Liz are sharing a large pizza. John ate 2/3 of the pizza, and Liz ate 1/4 of the pizza. How much of the pizza is left?
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Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
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Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

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*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

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