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3 years ago

Please help with this quiz I have an f

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

Answer:

its letter b

Step-by-step explanation:

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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

A rectangular prism has a length of 18 meters, a height of 19 meters, and a width of 11 meters. What is its volume, in cubic met

victus00 [196]

3762 cubic meters.
Explanation: Just multiply the length by the width and then that product by the height. The rider doesn’t really matter just multiply the three values.

5 0

3 years ago

A rectangle that is 11.2 inches by 8 inches. The scale in the plan is 4in:5ft find the length and width or the actual studio. Fi

leonid [27]

Answer:

$l=14\,ft\,\,\,\,w=10\,ft\\\\Area\,\,of\,\,actual\,\,studio=140\,ft^2\\\\$

Step-by-step explanation:

As we know 1 ft has 12 inches.

$scale\,\,in\,\,the\,\,plan=\frac{5\,ft}{4\, in}\\$

We can find the length and width of studio by multiplying rectangle parameters with scale.

$l=11.2\,in\times \frac{5\,ft}{4\,in}\\\\l=14\,ft\\\\w=8\,in \times \frac{5\,ft}{4\,in}\\ \\w=10 \,ft\\\\Area\,\,of\,\,actual\,\,studio=14\times 10=140\,ft^2\\$

5 0

4 years ago

In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/41. What is the value of cos P?

evablogger [386]

Check the picture below.

notice, in a right-triangle, there is a right-angle, thus is called a right-triangle, and the other angles are complementary angles.

notice the relation of the cosine and sine of each, in the example in the picture.

8 0

3 years ago

Am - d = b <br> solve for me

Natalka [10]

$Am-d=b\\
Am=b+d\\
m=\frac{b+d}{A}$

5 0

3 years ago