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4 years ago

10

How do I solve this ? Please b

1 answer:

marusya05 [52]4 years ago

5 0

Your answer would be (x-1)(x+3)

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Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi

scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

$\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

Upon substituting our given values in above formula we will get,

$\text{Sin(30)}=\frac{37.5}{L}$

$L=\frac{37.5}{\text{Sin(30)}}$

$L=\frac{37.5}{0.5}$

$L=75$

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

$\text{75 inches}=\frac{75\text{ inches}}{\frac{12\text{ inches}}{\text{feet}}}$

$\text{75 inches}=\frac{75\text{ inches}}{12}\times \frac{\text{ feet}}{\text{inches}}$

$\text{75 inches}=\frac{75}{12}\times\text{ feet}$

$\text{75 inches}=6.25\text{ feet}$

Therefore, the length of the ramp is 6.25 feet.

7 0

4 years ago

Read 2 more answers

What is a number that has 2 digits

ELEN [110]

Answer:

10

Step-by-step explanation:

It has 2 digits

5 0

4 years ago

Read 2 more answers

Simplify the expression by using the distributive property.<br> -2(4x - 10)

Andru [333]

Answer:

-8x+20

Step-by-step explanation:

multiply using the distributive property:)

4 0

3 years ago

It is estimated that the population of the world is increasing at an average rate of 1.09%. The population was about 7,632,819,3

morpeh [17]

Answer:

The equation that represents the population after T years is

$P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}$

Step-by-step explanation:

Population in the year 2018 ( P )= 7,632,819,325

Rate of increase R = 1.09 %

The population after T years is given by the formula

$P_{t} = P [1 +\frac{R}{100} ]^{T}$ -------- (1)

Where P = population in 2018

R = rate of increase

T = time period

Put the values of P & R in above equation we get

$P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}$

This is the equation that represents the population after T years.

6 0

3 years ago

Martin’s neighbors pat him $8 per week to walk their dog. He saves his money for 5 weeks. Martin buys a new bike helmet for $37.

Delicious77 [7]

$8x5=$40
$(40-37)=$3

Martin will have $3 left.

4 0

3 years ago