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3 years ago

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

1 answer:

4 0

Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft

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Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Tasya [4]

Answer:

Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$ $=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$ ]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

Hence, $2\frac 1 2 \div \frac 5 8=4$

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3 years ago

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Zielflug [23.3K]

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The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.

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3 years ago

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vodomira [7]

An easy way to find the precentage to to tuen the precentage to a decimal, in this case 20%=0.2, now multiply 35 by 0.2

35x0.2=7!

So 20% of 35 is 7$!

Another way to solve is to take 10% of 35, which you can find by just movig over the decimal (35-$3.50) now just add it together! 3.5+3.5=7$!!

Hope I helped!

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