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3 years ago

Please help me!

Mathematics

1 answer:

Step2247 [10]3 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

The 2 triangles are similar to the outside triangle and to each other, that is

Δ RQT ~ ΔSRT

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{RT}{ST}$ = $\frac{QT}{RT}$ , substitute values

$\frac{x}{9}$ = $\frac{16}{x}$ ( cross- multiply )

x² = 144 ( take the square root of both sides )

x = $\sqrt{144}$ = 12

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On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad

Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

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2 years ago

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon

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Answer:

A proportion is the name we give to a statement in which 2 ratios are equal. Proportions are built off of ratios. It is usually written in one of 2 ways

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the area of the composite figure.

irga5000 [103]

Answer:

Option C, 488 square centimeters

Step-by-step explanation:

Step 1: Determine the area of the rectangle

$A = l * w$

$A = 22\ cm * 17\ cm$

$A = 374\ cm^2$

Step 2: Determine the area of the triangle

$A=\frac{h*b}{2}$

$A=\frac{19\ cm * (22\ cm-10\ cm)}{2}$

$A=\frac{19\ cm * (12\ cm)}{2}$

$A=\frac{228\ cm^2}{2}$

$A=114\ cm^2$

Step 3: Determine the total area

$A_{total} = 374\ cm^2 + 114\ cm^2$

$A_{total} =488\ cm^2$

Answer: Option C, 488 square centimeters

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2 years ago

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