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3 years ago

Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of

Mathematics

1 answer:

8090 [49]3 years ago

6 0

Answer:

12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

169 - 16 = x²

153 = x²

Find the square root of both sides

√153 = √x²

12.369316876852 = x

x = 12.4 feet

Adjacent = x = 12.4 feet

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What is the answer to f(0)=(x-3)'2?

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X=3 or X=0
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3 years ago

There are five Oklahoma State Officials: Governor (G), Lieutenant Governer (L), Secretary of State (S), Attorney General (A), an

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Answer:

a) 0.6

b) 0.3

Step-by-step explanation:

Since we are taking 3 from a sample of 5 without replacements, we would have 5 choices for the first pick, 4 choices for the 2nd pick and 3 choices for the 3rd pick. The total possible number of ways to do this is:

5*4*3 = 60 ways

As order does not matter (GLS is the same as GSL), we divide this by the number of ways the 3 picks can be arrange, which is 3*2*1 = 6

So there are 60/6 = 10 possible samples

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So there are 4*3/2 = 6 possible samples. The probability of this happening is 6/10 = 0.6

(b) If G and A are included, we only have 3 choices for the last pick. So the probability of this to happen is 3/10 = 0.3

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3 years ago

Seth’s father is thinking of buying his son a six-month pass for $40. With the pass, matinees cost 1.00. If matinees are normall

mr Goodwill [35]

Answer:

The number of times Seth attend in order for the benefit his father to buy the pass is 2.8 times .

Step-by-step explanation:

Given as :

The price for six month pass = $ 40

The cost of matinees with the pass = $ 1.00

The cost of matinees without pass = $ 3.50

Now, According to question

If we take matinees per day for six months so, number of matinees = 6 × 30 = 180

So, The cost of matinees for six month with pass at the rate $ 1.00 each = 180 × $ 1 + $ 40

I.e The cost of matinees for six month with pass $ 220

Now, Again

The cost of matinees for six month without pass at the rate $ 3.50 each = 180 × $ 3.50

I.e The cost of matinees for six month without pass at the rate $ 3.50 each = $ 630

So, The number of times Seth attend in order for the benefit = $\frac{630}{220}$ = 2.8

Hence The number of times Seth attend in order for the benefit his father to buy the pass is 2.8 times . Answer

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3 years ago

The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50 - x bo

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S=50x-x^2

dS/dx=50-2x

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Find the solutions to the equation below 30x^2-28x+6 =0

Naddik [55]

For this case, we have the following equation of the second degree:

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Where:

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The solutions will come from:

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Substituting:

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So, we have:

$x_ {1} = \frac{14 + 4} {30} = \frac {18} {30} = \frac {18} {30} = \frac {3} {5}\\x_ {2} = \frac {14-4} {30} = \frac {10} {30} = \frac {1} {3}\\$

Answer:

$x_ {1} = \frac {3} {5}\\x_ {2} = \frac {1} {3}$

Option A

Option E

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