MATHEMATICS HIGH SCHOOL

The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.h = ________ yd

Answers

Answer 1
Answer:

Answer:

4.25 yards

Step-by-step explanation:

Area of rectangle = Base x Height

or

Height = Area of Rectangle ÷ Base

In this case, Area =38.25 sq yards and Base = 9 yards

Height = 38.25 ÷ 9 = 4.25 yards
Answer 2
Answer:

hi! your answer is 4.25. (also hope this helps everyone who finds this in search for the answer)

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A common rule is that housing expenses plus other debt payments should not be more than 36% of your monthly income. Your monthly income is $4,300, and you have student loan payments of $321 per month. How much can you spend on housing?

A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

Answers

Final answer:

To fill a cylindrical swimming pool with a diameter of 18 feet and a height of 4 feet 85% full, you'll need approximately 24462 liters of water.

Explanation:

To determine how many liters of water are needed to fill the swimming pool to 85% of its total volume, we first need to calculate the total volume of the cylindrical pool. The formula to calculate the volume of a cylinder is V=πr²h were r is the radius (half of the diameter) and h is the height. Therefore, the pool's total volume in cubic feet is V=π*9²*4 ≈ 1018 ft³. However, the student only wants to fill the swimming pool up to 85%, so we multiply this total volume by 0.85 to get approximately 865 ft³.

Since 1 ft³ ≈ 28.3 L, we can calculate the needed volume in liters by multiplying the 865 ft³ by 28.3 to obtain approximately 24462 liters of water. Round to the nearest whole number, so about 24462 liters of water are needed to fill the swimming pool es up to 85% of its volume.

Learn more about Cylindrical Volume Calculation

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Give a real-world scenario in which you would write an inequality rather than an equation.

Answers

Example:  You have some money in your pocket. You want to buy some snacks for tonight's match but your wife told you to buy one pizza on your way back to home that costs $10. That means that on snacks you can spend (y) :
y ≤ x - 10     where x represents money in your pocket.

This means that from money in your pocket you have to subtract $10 for pizza and out of remaining money you can spend some part of it on snacks or all of it.

X+5 divided by 3 = 7 show work

Answers

x+5/3=7
x+6=7
    -6 -6
       x=1

What is the solution of |y+2|=6

Answers

the “||” usually represent absolute value. so assuming they do here the equation would be y+2=6, the next step is to combine like terms and subtract 2. You should end up with y=4. (If you are looking for both possibilities) you would also have to do the negative since there is a variable, so y+2=-6 and you would end up with y=-8 [answers: y=4 or y=-8]

Answer :-

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Values of y = 4, -8

How do you convert sin into cos, and vice versa.. Promblem: cos(6x) = sin(3x-9)

Answers

The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°

Which measurement is equivalent to 987 mL?9.87 L
9,870 L
0.987 L
98.7 L

Answers

0.987L

1L is equal to 1000mL.

Answer:

0.987L

Hope this heeeeeeelps
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