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kiruha [24]
3 years ago
12

The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft t

all. How far from the front of the house is the support post positioned?
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

The support post positioned 23 feet far from the front of the house

Step-by-step explanation:

According to Pythagoras Theorem

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

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² -  ( Perpendicular)²

Taking under root on both sides

Base =  √(Hypotenuse)² -  ( Perpendicular)²

Base =  √ (625 - 100)

Base = √525

Base = 23 feet

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3 years ago
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Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,
sweet-ann [11.9K]

Answer:

The correct option is E.

Step-by-step explanation:

It is given that Alice, Benjamin, and Carol each try independently to win a carnival game.

Let A, B and C represent the following events.

A = Alice win

B = Benjamin win

C = Carol win

P(A)=\frac{1}{5} and P(A')=1-P(A)=1-\frac{1}{5}=\frac{4}{5}

P(B)=\frac{3}{8} and P(B')=\frac{5}{8}

P(C)=\frac{2}{7} and P(C')=\frac{5}{7}

We need to find the probability that exactly two of the three players will win but one will lose.

Probability=P(A\cap B\cap C')+P(A\cap B'\cap C)+P(A'\cap B\cap C)

Probability=P(A)P(B)P(C')+P(A)P(B')P(C)+P(A')P(B)P(C)

Probability=\frac{1}{5}\cdot\frac{3}{8}\cdot\frac{5}{7}+\frac{1}{5}\cdot\frac{5}{8}\cdot\frac{2}{7}+\frac{4}{5}\cdot\frac{3}{8}\cdot\frac{2}{7}

Probability=\frac{3}{56}+\frac{1}{28}+\frac{3}{35}

Probability=\frac{7}{40}

The probability that exactly two of the three players will win but one will lose is \frac{7}{40}.

Therefore the correct option is E.

6 0
4 years ago
on a graph would the x-axis be sideways or straight up and would the y-axis be straight up or sideways
olasank [31]

Answer:

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Step-by-step explanation:

Because the x-axis is a flat line on the graph and the y-axis is stands up on the graph

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3 years ago
Really easy....plz help if u can..will mark
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Answer:

The distributive property.

Step-by-step explanation:

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2*x would be 2x, and 2*4 would be 8.

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F(x) = x2 + 2x find f(-3)
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\longrightarrow{\blue{f(-3)\:=\:3}} 

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

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\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

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