MATHEMATICS HIGH SCHOOL

What radian measure is equivalent to 900°?
5n
10n
1/5n
9n

Answers

Answer 1

Answer:

Answer: 5n

Sources: Just trust me

Answer 2

Answer: 9n is the answer to this question

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Which expression is equivalent to (–3y – x) – (5y – 8x)?–8y – 8x
–8y + 7x
2y – 7x
8y + 8x

Answers

If you would like to find the equivalent expression to (-3y - x) - (5y - 8x), you can do this using the following steps:

(-3y - x) - (5y - 8x) = -3y - x - 5y + 8x = -8y + 7x

The correct result would be -8y + 7x.

Answer:

-8y + 7x.

Step-by-step explanation:

If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ? (A) 10/3
(B) 40/3
(C) 23
(D) 27
(E) 30

Can someone explain this one for me?

Answers

E - 30. From 6 to 9 is increase of 1.5times

A park is shaped like a trapezoid. It has a top base of 1.2 miles and a bottom base of 2.4 miles. If the height is 4 miles, what is the area of the trapezoid?

Answers

Answer:

$7.2 mi^2$

Step-by-step explanation:

A trapezoid is a plane shape and its area isgiven as;

$A = (1)/(2) (a + b) h$

where a = top base of trapezoid = 1.2 miles

b = bottom base of trapezoid = 2.4 miles

h = height of trapezoid = 4 miles

Hence, the area of the trapezoid shaped park is:

$A = (1)/(2) * (1.2 + 2.4) * 4\n\nA = (1)/(2) * 3.6 * 4\n\nA = 7.2 mi^2$

The area of the trapezoid shaped park is $7.2 mi^2$ .

John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.A. 5d + $10.00 – $4.00 = $13.50; $1.50
B. 4d + $10.00 – $4.00 = $13.50; $1.88
C. 5d + $10.00 – $4.00 = $13.50; $1.70
D. 5d – $10.00 + $4.00 = $13.50; $4.88

Answers

Answer:

Option A - 5d + $10.00 – $4.00 = $13.50; $1.50

Step-by-step explanation:

Given : John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50.

To write : An equation to model this situation, and find the cost of one large drink.

Solution : Let d be the cost of the drink.

Number of drinks is 5.

The cost of 5 drink is 5d.

The pizza cost $10.00.

Total cost = 5d+$10

After using a $4.00 gift certificate, they spend a total of $13.50.

The equation to model the situation is $5d + 10 - 4 = 13.5$

Solving the equation,

$5d + 6 = 13.5$

$5d = 13.5 - 6$

$5d = 7.5$

$d = (7.5)/(5)$

$d = 1.50$

The cost of 1 large drink is $1.50.

Therefore, Option A is correct.

5d + $10.00 – $4.00 = $13.50; $1.50

Answer:the answer is A

Step-by-step explanation:

At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10, rolling on its edge, to travel 10 feet? (Assume p equals 22/7, and express answer to nearest 0.1 second.)

Answers

I don't know if this is 100% correct...but i think this is how you would solve this problem!!!

OOOKKKKK.........

We all know that a well is circular. So, First, lets find out the circumference of the wheel.

Given :
radius = 10 feet
π = 22 / 7
We know,
Circumference = 2πr
= 2 × (22 / 7) × 10
= 62.9 ft.

Now,
One revolution means the wheel has covered a distance equal to its circumference. So, 22 revolutions per minute means that the wheel is covering 22 times its circumference in 1 minute. So, Lets convert the revolution to feet.

Given,
The wheel is travelling at 22 revolutions per minute.
= 22 * Circumference per minute
= 22 * 62.9 ft. per minute
= 1383.8 ft. per minute
Now, that we know how much feet it is travelling in 1 minute, we can easily find how much it takes it to travel 10 feet.

Using unitary method,
The wheel travels 1383.8 ft. in 1 minute
The wheel travels 1383.8 ft. in 60 seconds.
The wheel travels 1 ft. in (60 / 1383.8) seconds.
The wheel travels 10 ft. in (60 / 1383.8) * 10 seconds.
= 0.4 seconds

So, the answer is 0.4 seconds. Of course...the answer is rounded!!

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function in feet per second?