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melomori [17]
3 years ago
14

On a number line, find the midpoint between -18 and 4.

Mathematics
1 answer:
sineoko [7]3 years ago
4 0

The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest
Svetradugi [14.3K]

Answer:

  110sin(72°) feet

Step-by-step explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

  Sin = Opposite/Hypotenuse

so the Opposite side will be ...

  ladder height = (110 ft)sin(72°)

6 0
3 years ago
What is the area, in square feet, of the rectangle shown below?
Svet_ta [14]

Answer:

D

Step-by-step explanation:

= 34/5 × 19/4

= 646/20

= 32 \frac{6}{20}

8 0
3 years ago
Read 2 more answers
Un dirigible que está volando a 800 m de altura, distingue un pueblo con un ángulo de depresión de 12°. ¿A qué distancia del pue
alexira [117]

Answer:

3764 m

Step-by-step explanation:

Resolvemos usando la función trigonométrica de tangente.

tan θ = Opuesto / Adyacente

θ = Ángulo de depresión = 12 °

Opuesto = 800m

Adyacente = Distancia de la ciudad = x

Cruz multiplicar

bronceado 12 = 800 / x

Cruz multiplicar

bronceado 12 × x = 800

x = 800 / tan 12

x = 3763.7040876 m

Aproximadamente = 3764 m

6 0
2 years ago
The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.
notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

8 0
3 years ago
Simplify the equation -4d - 37 = 7d + 18
exis [7]

Answer:

d=-5

Step-by-step explanation:

-4d-37=7d +18

move the terms to its correct side

-4d-7d=18+37

calculate the like terms together.

-11d=55

divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5

5 0
3 years ago
Read 2 more answers
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