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Dennis_Churaev [7]

3 years ago

15

The base of a triangle is 5.3 inches.The height of the triangle is 6.8 inches.What is the area of the triangle

1 answer:

Murrr4er [49]3 years ago

5 0

It is 18.02. First you multiply 5.4 by 6.8 because it is a triangle you have to divide it by 2. 5.4x6.8=36.04 36.04/2=18.02

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Answer:

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Step-by-step explanation:

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If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one va

sergejj [24]

Answer:

It will take 2.8 minutes

Step-by-step explanation:

Given

$x \to Minutes$

$y \to Gallons$

See attachment for complete question

Required

Time to fill the tube with 46.2 gallons

The attached table is a represents a direct proportional relationship between x and y.

This relationship is:

$y = kx$

Where k is the constant of proportionality.

When (x,y) = (1,16.5), we have:

$16.5 = k*1$

$16.5 = k$

$k=16.5$

So, we have:

$y = kx$

$y = 16.5x$

To calculate the required time to fill 46.2 gallons, we make x the subject

$x = \frac{y}{16.5}$

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$y =46.2$

$x = \frac{46.2}{16.5}$

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8 0

3 years ago

A hot air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m

san4es73 [151]

Answer:

$h=1.99 miles$

Step-by-step explanation:

Let's call $h$ the balloon's height above the ground and $b$ the horizontal distance between the balloon and the first milepost.

If the angle of the depression of this milepost is 24 degrees, we can say the following:

$tan(24)=\frac{h}{b}$

<em> $b=\frac{h}{tan(24)}$ (equation 1)</em>

For the next milepost, the horizontal distance between the balloon and tihs milepost will be $(b+1)miles$ and the angle of depression will be 20 degrees, so we can say the following

$tan(20)=\frac{h}{b+1}$

$b+1=\frac{h}{tan(20)}$

$b=\frac{h}{tan20}-1$

then, replacing from <em>equation 1</em>

$\frac{h}{tan(24)} =\frac{h}{tan(20)}-1$

$1 =\frac{h}{tan(20)}-\frac{h}{tan(24)}$

$1 =h*(\frac{1}{tan(20)}-\frac{1}{tan(24)})$

$h=\frac{1}{(\frac{1}{tan(20)}-\frac{1}{tan(24)})}$

Resolving, we'll find the value of $h$

$h=1.99 miles$

So, the balloon's height above the ground is 1.99miles

4 0

3 years ago