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3 years ago

Convert 28 cubic inches into cubic centimeters.

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer:

458.838

Step-by-step explanation:

28 x 16.387 = <u>458.838</u>

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

5 0

3 years ago

Read 2 more answers

Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

5 0

3 years ago

Hey if you see this i really need your help its an exam thanks

professor190 [17]

Answer:

I think it is Letter B

Because I add the two

L-2, +N 12=10

7 0

2 years ago

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

$\sin(60 \degree) = \frac{h}{6}$

$h = 6 \sin(60 \degree)$

$h = 3 \sqrt{3}$

The area becomes:

$12 \times 3 \sqrt{3} = 36 \sqrt{3} {units}^{2}$

4 0

3 years ago

Explain why (a+b)^2 = a^2+b^2 if and only if a=0 or b=0

const2013 [10]

Hope this helps! Because when you would fill in the variables 0=0 which which make the expression too that they’d equal the same.

7 0

3 years ago