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3 years ago

Rachel bought a rug for her apartment. The rug is 11

1 answer:

6 0

Answer: the diagonal is 14.21 feet. Explanation: So imagine the rug has the vertexes A, B, C, and D. The length (A to B) is 11 ft, and the width (B to C) is 9 ft. You want to find the distance between A and C. The AC line creates two right triangles in the rug, so you can use the Pythagorean theorem to solve the problem. The Pythagorean theorem is a^2 + b^2 = c^2 (or in this case, AB^2 + BC^2 = AC^2). Plug in the number (you should have 11^2 + 9^2 = AC^2). Simplify the equation to get 202 = AC^2. Square both sides to get the answer. You should an answer around 14.21 ft.

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The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.2

bogdanovich [222]

Answer:

0.4

Step-by-step explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4

5 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth

Lilit [14]

$\huge\bold{Given:}$

Length of the base = 8

Length of the hypotenuse = 17

$\huge\bold{To\:find:}$

The length of the third side '' $x$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 15}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + (8)² = (17)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + 64 = 289

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 289 - 64

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 225

$\longrightarrow{\blue{}}$ $x$ = $\sqrt{225}$

$\longrightarrow{\blue{}}$ $x$ = $15$

Therefore, the length of the missing side $x$ is $15$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (15)² + (8)² = (17)²

$\longrightarrow{\green{}}$ 225 + 64 = 289

$\longrightarrow{\green{}}$ 289 = 289

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}$

3 0

2 years ago

I don't this question so I need help with this problem

sveta [45]

So first divide 7,500 by 150 and you will get 50.Next,do 17X50 which will give you 850.The answer is 850 Gold beads.Hope that helped.Have a happy new year

4 0

3 years ago

-7-(-7)=? Plz help plz plz

Reil [10]

Answer:

the answer is 0

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

State the property being illustrated in each example.

Dahasolnce [82]