MATHEMATICS HIGH SCHOOL

Solve.

1/4 * 5/4 divided by 10/3

Answers

Answer 1
Answer: Answer of the above question is 15/160

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Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?

The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and width of the playground.

Answers

Answer:

The length of the playground is 10 yards

The width of the playground is 5 yards.

Step-by-step explanation:

Given: The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width.

Area = 50 square yards

Length = 2*width = 2w

Area of the playground = length*width

50 = 2w *w

2w^2 = 50

Dividing both sides by 2, we get

2w^2/2 = 50/2

w^2 = 25

Taking square root on both sides, we get

w = √25

w = 5 yards

Now let's find the length.

Length = 2 * width

= 2*5

length = 10 yards
length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

Answers

Answer:

152.04 For anybody that still needs the answer.

Step-by-step explanation:
360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI =169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m
 

Prime factorization of 147

Answers

3, 7^2 the two is supposed to be an exponent.

Answer B: 3 x 7 x7 or 3 x 7^7

A copier prints 80 pages in 5 minutes. Which unit rate represents this ratio?

A.80 pages per 5 minutes

B.40 pages per 2.5 minutes

C.32 pages per minute

D.16 pages per minute

Answers

The correct answer is D, 16 pages per minute. A unit rate is a ratio of something to one; in this case, the ratio is 16:1, or 16 pages to 1 minute. To get the unit rate for this problem, divide both numbers by 5 to get how many pages will be printed per 1 minute. 80/5 = 16, so the copier prints 16 pages in 1 minute. Answer choices A and B are not unit rates, and answer choice C is the incorrect unit rate.

Hope this helps!

1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, cos θ = (Base)/(Hypotenuse)

The figure below shows the relationship between the sides.

⇒ cos θ = (7)/(15)

⇒ θ = cos^(-1)((7)/(15) )

⇒ θ = 62.18

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

brainly.com/question/24174128

#SPJ2

Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

A puppy will grow 28 in it is currently 1 foot tall

Answers

♥ If he will grow to 28inches and he is currently 1ft tall, then he needs to grow 16 more inches to get his full height.
♥ I did this by solving what was in 1ft (12 inch) so 28-12=16.
♥ Therefore he needs to grow 16 more inches. 
♥Hope this helps♥
so 1+28in so 3ft4in would be correct idk just using the metric system
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