All categories

3 years ago

A 16-ft-long ramp rises at an angle of 18.5 degree. How long is the base of the ramp to the nearest foot?

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

Answer: 13 ft

Step-by-step explanation: The bottom of the 14 foot ramp is equivalent to about 12.98 feet.

You might be interested in

QUICK PLSS 1. Jabo orders a meal that cost $20.00.

Lelechka [254]

Answer:

$25.80

Step-by-step explanation:

Find the cost of the meal with the sales tax:

20 x 0.075 = 1.5

Add the sales tax to the total

20 + 1.5 = 21.50

Find the tip:

21.5 x 0.2 = 4.3

Add the tip to the total cost so far:

21.50 + 4.30 = 25.80

7 0

2 years ago

Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then fi

PSYCHO15rus [73]

Answer:

Jackie is incorrect. Since 2 pints equal 1 quart, she would need to multiply 12 by 2 to get the correct answer of 24 pints.

6 0

2 years ago

A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int

Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

Radius, r = 3
Height, h = 7
Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

$V = \frac 13\pi r^2h$

This gives

$V = \frac 13\pi (\frac{3h}{7})^2h$

Expand

$V = \frac{3h^3}{49}\pi$

Differentiate

$V' = \frac{9h^2}{49}\pi h'$

Make h' the subject

$h' = \frac{49}{9\pi h^2}V'$

When the water level is 3.5.

We have:

$h' = \frac{49}{9\pi * 3.5^2}V'$

Also, we have:

V' = 4.3

So, the equation becomes

$h' = \frac{49}{9\pi * 3.5^2} * 4.3$

Evaluate the products

$h' = \frac{210.7}{346.36}$

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0

2 years ago

What is the equation of the line that passes through the point (−8,1) and has a slope of -3/4?

Marrrta [24]

Answer:

y-1=-3/4(x+8)

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept,

y-y1=m(x-x1)

y-1=-3/4(x-(-8))

y-1=-3/4(x+8)

6 0

3 years ago

If X = 2 centimeters, Y = 5 centimeters, and Z = 5 centimeters, what is the area of the object?

Elena L [17]

Answer: $35 cm^2$

Step-by-step explanation:

<em>Area of trapezium = </em>

2X = 2 + 2 = 4 cm

2Z = 5 + 5 = 10 cm

Y = 5 cm

$\dfrac{ \left( 4+10 \right) }{ 2 } \times 5$

|--------> 35 $cm^2$

6 0

1 year ago