Mathematics Middle School

What is the area of sector​ GPH? the angle inside the circle measures 80º and the radius from p to h is 15

Answers

Answer 1
area = π r²

area of the required sector = (80/360) π * 15²
                                           ≈ 157.08
Answer 2

Answer:

The area of sector GPH is equal to [tex]50\pi\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=15\ units[/tex]

substitute

[tex]A=\pi(15)^{2}=225 \pi\ units^{2}[/tex]

[tex]360\°[/tex] subtends the complete circle of area [tex]225 \pi\ units^{2}[/tex]

so

By proportion

Find the area of sector GPH

[tex]\frac{225 \pi}{360}\frac{\ units^{2} }{degrees} =\frac{x}{80}\frac{\ units^{2} }{degrees}\\ \\x=80*225\pi /360\\ \\x=50\pi\ units^{2}[/tex]

Related Questions

what is the volume of the right rectangular prism?

16in³

64in³

140in³

166in³

Answers

what is 7x5x4, it is 140 so the volume is 140in^3 its a pretty simple problem
It’s 140in pretty simple sorry if I did not help you hope it did

PLEASEE HELP ASAP WILL GIVE BRAINLIEST!!!

Answers

The heat added to the system

Answer:

The heat added to the system.

Step-by-step explanation:

help me out due at 10

Answers

Area:106 inches
Perimeter:44 inches

Hope this helped☺☺
The perimeter is simple enough, just add all the lengths.
10+5+2+2+2+3+8+7+2+3= 44 inches = Perimeter

Now let's solve the area:
Step 1 let's get the area of the 10-inch square and deduct the missing square and rectangle.
10²=A = 100 in²
Now let's solve the 2-inch square a= 2²= A 4²
Now the rectangle is given l=7 w=2 = A = 14 in²

now subtract 100-4-14= 82 in² is the Area if the Figure

Thus: Area = 82 in² & Perimeter = 44 inches


A triangle has interior angles measuring 40° and 52°.

Which triangles are similar to this triangle?

Select True or False for each triangle.
Triangle True or False for each
Triangle True False
1 triangle with interior angles measuring 52° and 92° t or f
2 triangle with interior angles measuring 40° and 92° t or f
3 triangle with interior angles measuring 52° and 88° t or f
4 triangle with interior angles measuring 40° and 88° t or f

Answers

There are two correct answers. Numbers 3 4 are both correct. The sum of all angles in a triangle must add up to 180°. The two given where are 40° and 52°. If you subtract these from 180°, the remaining angle would be 88°. Choices 3 and4 both give two possible angles.

6cm 20cm 4cm find the surface area

Answers

Assumed it is a cuboid.

Total surface area = 2(6 x 20) + 2(20 x 4) + 2(4 x 6)
Total surface area = 240 + 160 + 48
Total surface area = 448 cm²

-----------------------------------------------------------
Answer: Total surface area = 448 cm²
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The answer is 448 you also can work it out

if 1 yard=3 feet and 1 mile=5,280 feet, how many yards are there in 2 miles

Answers

 2 miles equals 2 x1760 = 3520 yards.
The answer would be 3520.

If there is 1 yard in 3 feet, then if we divide the number of feet in a mile by 3, then we should get how many yards are in a mile. 

3520 / 3 = 1760

That is only the number of yards in one mile though, and the question asks for two miles. To find this, we simply multiply the answer we got in the first step by two.

1760 x 2 = 3520 yards

Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width of the canvas is how many inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is how many square inches. I WILL GIVE BRAINLIEST!
:-)

Answers

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

[tex]\text{Area of rectangle} = length\times breadth[/tex]

[tex]108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth[/tex]

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

[tex]\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}[/tex]

[tex]\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}[/tex]

[tex]\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}[/tex]

Hence, remaining area = 70 square inches .

Answer:

9 and 70

Step-by-step explanation:

The width of the canvas is 9 inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is 70 square inches.

which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
key for picture one is Key: 5|0 means 50
pic 2 Key: 5|4 means 54
pic 3 Key: 5|4 means 54
pic 4 Key: 5|4 means 54

Answers

Hello,

The correct answer is the last one. To find the correct one, I first check each one to see that they had both 80 and 81. Only the last 2 choices had both of those numbers.

Then, I looked at the row containing the 50's. Only the last table had two 55's like is in the list.

Good luck,
MrEQ

Answer:

d its d

Step-by-step explanation:

suppose the side length of a square A is 10 inches and the area of square C is 162 inches squared what is the area of square B if the squares form a right triangle ?

Answers

c is 16w I chez squared what is the

Answer:

62

Step-by-step explanation:

My teacher told me

I need help ASAP ?!?!?!?!?!

Answers

I am doing the same thing
lol that's cool im doing it because people just ask that without any question at all.

Find the area for all three figures. Show work

Answers

First is 50m. Second is 24.14in. Third is 40cm.

please help me out due at 10

Answers

2*3*1.2=7.2
7.2*36=259.2.

Your answer is $259.20.

Hope this helped☺☺
Let V = volume of bed

V = (2)(3)(1.2)

V = 7.2 yards^3

Let C = cost

C = (36)(7.2)

C = $259.20

A rectangular trampoline measures 15 meters by 18 meters. A pad of constant width is placed around the trampoline so that the total area is 340 square meters. What is the width of the pad? Enter your answer in the box.

Answers

Given is a rectangular trampoline with dimensions 15 meters by 18 meters.

A pad of uniform width is fixed about the boundary of trampoline such that total area becomes 340 square meters.

It says to find width of the pad that is placed around trampoline.

Let's assume the width of pad = 'x' meters.

Now Length of trampoline with pad would be, L = 2x + 15 meters.

And Width of trampoline with pad would be, W = 2x + 18 meters.

Given is the Total area = 340 square meters.

We know the formula for area of rectangle is given as follows :-

Area of Rectangle = Length x Width

⇒ 340 = (2x+15)·(2x+18)

⇒ 340 = 4x² + 66x + 270

⇒ 4x² + 66x + 270 - 340 = 0

⇒ 4x² + 66x - 70 = 0

⇒ 2x² + 33x - 35 = 0

⇒ 2x² + 35x - 2x - 35 = 0

⇒ x·(2x + 35) - 1·(2x + 35) = 0

⇒ (x - 1)·(2x + 35) = 0

⇒ (x - 1) = 0 or (2x + 35) = 0

x can't be negative number, so x = 1.

Hence, x = 1 meter is the width of the pad.

Answer:

The width of the pad is [tex]1\ m[/tex]

Step-by-step explanation:

Let

x----> the width of the pad

we know that

[tex](15+2x)(18+2x)=340[/tex]

Solve for x

[tex]270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=1\ m[/tex]

see the attached figure

Judy Ring purchased a watch with a retail price of $8,000. She still has to pay a sales tax of 6% and an excise tax of 10%. Since the jeweler is shipping the watch, there's an additional $20 shipping charge. The total purchase price of this watch for Judy i

Answers

The total purchase price of the watch is: $9,300

$8,000 + (0.06 × $8,000) + (0.10 × 8,000) + $20

$8,000 + $480 + $800 + $20

Answer: Total purchase price of this watch is $9300.

Step-by-step explanation:

Since we have given that

Retail price of watch = $8000

Rate of sales tax = 6%

Amount of sales tax becomes

[tex]\dfrac{6}{100}\times 8000\\\\=\$480[/tex]

Rate of excise tax = 10%

Amount of excise tax is given by

[tex]\dfrac{10}{100}\times 8000\\\\=\$800[/tex]

So, Amount of watch after sales tax becomes

[tex]\$8000+\$480+\$800\\\\=$9280[/tex]

Amount of additional shipping charge = $20

Amount of watch after additional shipping charge becomes

[tex]\$9280+20\\\\=\$9300[/tex]

Hence, Total purchase price of this watch is $9300.

judy has $20 and is saving at a rate of $6 per week. Ida has $172 and spending at a rate of $4 per week. After how many weeks will each have the same amount?

Answers

Let
x----------> number of weeks
y----------> total money

we know that
Judy's saving equation can be modeled as follows
y=20+6x------------> equation 1

and 
Ida's spending equation can be modeled as follows
y=172-4x----------> equation 2

to know when they will have the same amount
equation 1=equation 2
20+6x=172-4x------------> 6x+4x=172-20----------> 10x=152------> x=15.2
x=15.2 weeks

the answer is 15.2 weeks

how many 1/8s in 25?

Answers

Hey there! :D

In the fraction 1/8, the denominator is 8. There are 8 of these parts or “fractions” in 1. So, multiply that by 25.

8*25= 200

There are 200 1/8s in 25.

I hope this helps!
~kaikers

Explain how you can find a fraction equivalent to 1/4

Answers

2/8 is equivalent to 1/4
You could multiply it by 2 1*2 =2 and 4*2 = 8 so 2/8 is one awnser

Can someone please help me with this (its percent of change word problems)

Answers

Hey there!

When you have a number you are starting with that is your 100%. If he next number you have is higher it's going to be more than 100%, and if the other number is less it's going to be less than 100%. Since Tuesday's speed is twice as fast as Monday's, her speed increased by 100%

Hope this helped, have a good one :)

Use multiplication to find 2 equivalent fraction for 3/4 and 4/5

Answers

Equivalent fractions for 3/4 are 6/8 and 9/12

Equivalent fractions for 4/5 is 8/10 and 12/15
Final answer:

To find two equivalent fractions for 3/4 and 4/5 using multiplication, multiply both the numerator and denominator of each fraction by the same number.

Explanation:

To find two equivalent fractions for 3/4 and 4/5 using multiplication, we can multiply both the numerator and denominator of each fraction by the same number. Let's choose 2 as the multiplying factor.

For 3/4, multiplying both numerator and denominator by 2 gives us: 6/8.

For 4/5, multiplying both numerator and denominator by 2 gives us: 8/10.

Learn more about Equivalent fractions here:

https://brainly.com/question/23075364

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the sweater shack is offering a 20% discount on sweaters. if the regular price of a sweater is 15.00 dollars what is the discount

Answers

Hello Lyn,

To find the discount, you simply have to multiply the percent by the total amount. However, don't forget to convert 20% to the decimal 0.2.

The correct answer is 0.2 x 15 = 3

The discount is $3.

I hope this helps, Good luck!
MrEquation

The discount is $3.00 Why?  You need to multiply the cost of the sweater by the discount as follows:

15x0.2=3

i need help with 1, 2, 3, 7, 8, and 9! PLEASE HELP!

Answers

3-A
7-C
8-A
3) 9 dollars for x hours
7) add three to each number
8) arrow pointing down from 3

Find the area of each figure

Answers

8x10 = 80
4x4 = 16
2x4 divided 2 = 4
80+16+ 4 = 100

Answer please——————————————-

Answers

Look at the line plot. The open circle means not 2.5, but everything greater than 2.5. Your answe is going to be the second answer, or "All real numbers greater than 2.5". If the circle was solid the answer would be 1.
On this question it is asked you to describe the solution of an inequality represented by the given graph. First of all you may know that the meaning of the phrases "greater than" and  "less than" depends on the direction of the line graphed and the possibles solutions are also associated to whether or not the circle is close or open.

When you look at the line plot you can see, that the point is open meaning that 2.5 is not a possible answer for the equation. Also, the line goes to the right meaning that the values for the possible solutions have to greater than 2.5. In other words the solution for the graphed inequality are the numbers greater than 2.5 but 2.5 is not part of the solution.

The correct answer is all real numbers greater than 2.5. 

HEEEEEEEEEEELPFADAFSAFA

Answers

Answer:
y = 9x + 6

Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope is 9. Therefore, the equation becomes:
y = 9x + c

Now, we need to get the value of c. We are given that (0,6) belong to the line. Therefore, we will substitute with this point in the equation and solve for c as follows:
y = 9x + c
6 = 9(0) + c
c = 6

Based on the above, the equation of the line is:
y = 9x + 6

Hope this helps :)

Y= 9x+b
6= 9(0) + b
B= 6

Y= 9x +6

Susan’s parents have offered to help her pay for a new computer. They will pay 30% and Susan will pay 70% of the cost of a new computer. Susan has saved $550 for a new computer. With her parents help, how expensive of a computer can she afford?

Answers

You can answer this question using ratios. You can use cross product to solve this proportion. Please see the attached picture for the work. Her parents will pay about $235.71 and she has $550, so she could buy one for $785.71.

graham drove 42 1\3 miles in 1 1\3 hours how many hours did he take to drive one mile

Answers

42 1/3 / 11/3
miles divided by hour makes miles per hour.
42.3333... / 3.6 =
about

11.545454.....(done with fraction calculator)
or 11.75 (done by hand)

The time taken by Graham is approximately 4/127 hours, which is about 0.0315 hours or roughly 1 minute and 53 seconds, to drive one mile.

To find out how many hours Graham took to drive one mile,

simply divide the total time (1 1/3 hours) by the total distance (42 1/3 miles):

Total time = 1 1/3 hours

                 = 4/3 hours

Total distance = 42 1/3 miles

                        = 127/3 miles

Now, divide the total time by the total distance:

Time per mile

= (Total time) / (Total distance)

= (4/3 hours) / (127/3 miles)

Now, when you divide by a fraction, you can multiply by its reciprocal:

Time per mile

= (4/3 hours) × (3/127 miles)

= (4/127) hours per mile

Therefore, the total time Graham took approximately 4/127 hours to drive one mile.

Learn more about time here

brainly.com/question/32743661

#SPJ3

find the missing dimension. base: 27 cm and area: 256.5 cm sq

Answers

What is the figure? A square a triangle ect?
You are trying to find height. I am assuming this is a rectangle you are computing, so I will use

Base • Height = Area

(27) • Height = 256.5 // Plugging in what we know

As per Algebra, you have to be able to manipulate terms in an equation in order to find an answer. In reality, it’s right there, just not in a visible form. To do that, go ahead and divide both sides of the equation by 27; this gets rid of the 27, leaving Height, what we want, alone.

(27/27) • Height = 256.5/27 // Division Property of equality
Height = 9.5 cm

Suppose you start an annuity where you invent$2,000 at the beginning or each year and 4% interest is paid at the end of the year

Answers

I believe $80 dollars would be 4% of 2,000
2000x 0.04 = 80
End of the year have to pay 80



Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .

∠1 and ∠2 are supplementary angles.

∠2 and​ ​ ∠4 are vertical angles.

m∠1=120°

What is the measure of ​​ ∠4 ​?

30°
60°
90°
120°

Answers

The answer is 30. if 1 is 120 then that means 2 is 60 and vertical angles go to 90 so it would have to be 30 to get to 90. I hope this helped:)

6 is 75% of what number

Answers

6/.75=8
6 is 75% of 8
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