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3 years ago

The two shorter sides of a right triangle have lengths of 9.88 meters and 2.69 meters. What is the area of the triangle?

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer:

13.29 square meters

Step-by-step explanation:

The two shorter sides of a right triangle have lengths of 9.88 meters and 2.69 meters

Two shorter sides are the base and the height of the right angle triangle

Area of the triangle is 1/2 times base times height

$area= \frac{1}{2} \cdot 9.88 \cdot 2.69$

Area of the triangle is 13.2886

13.29 square meters

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What's the slope of the line passing through the points -1, 8 - 7, 3

tatuchka [14]

Answer:

slope = 5/6

Step-by-step explanation:

Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂) <----- Original formula

8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7)) <----- Simplify left side

5 = m(6) <----- Simplify inside parentheses

5/6 = m <----- Divide both sides by 6

5 0

2 years ago

What is the largest integer that is below square root of 7?

Butoxors [25]

Answer:

Step-by-step explanation:

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7 0

3 years ago

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Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo

Ronch [10]

Well he wants to buy 100 blue balloons so that would cost 100*0.6. The cost of white balloons(because they are half off) are w*0.3. He has a total of 150 dollars to we get 100*0.6+w*0.3=150 or 60+0.3w=150
Thus we get c

5 0

3 years ago

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Solve x in 2|x+ 6| + 9 = 19

xenn [34]

Answer: x=-1

Step by step:

2|x+6|+9=19

Subtract 9 from both sides.

2|x+6|=10

Divide both sides by 2

|x+6|=5

Use the definition of absolute value.

x+6=5

Subtract 6 on both sides

x=-1

Hope this helped! :)

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2 years ago

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What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

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3 years ago