In triangle GHI the measure of angle I = 90•, HI = 5.6, and IG = 2.8 feet. Find the measure of angle G to the nearest tenth of a degree

Answer:

64 S

----

112 B

Step-by-step explanation:

The number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that Salley collected 32 coins, the ratio of Sally’s coins to Bill’s coins is 4: 7, and Sally and Bill each double the number of coins they have now.

Suppose the number of coins that Sally and Bill will be 4x and 7x respectively.

If Sally has the 32 coins and if she doubles the coins she has 64.

4x  = 64

x =16

Sally’s coins,

4x = 4 × 16 =64

Bill’s coins,

7x =7× 16 = 112

Thus, the number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.

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Answer:

545

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠VMC=180-90-48

          =42

∠PMV=180-22-90-42

         =26

5/sin48=VM/sin90

VM=6.728( correct to three decimal places)

6.728/sin22=PV/sin26

PV=7.873( correct to three decimal places)

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

Answer:

Step-by-step explanation:

3(x+2) = 15

X+2 = 5

X = 3

Answer:

1 hour and 36 minutes

Step-by-step explanation:

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

[tex]d'\propto d[/tex]

[tex]d'=kd[/tex]

[tex]\dfrac{d'}{d}=k[/tex]

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

[tex]k=\dfrac{OB'}{OB}[/tex]

[tex]k=\dfrac{36}{16}[/tex]

[tex]k=\dfrac{9}{4}[/tex]

We know that,

[tex]k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}[/tex]

[tex]\dfrac{9}{4}=\dfrac{A'C'}{AC}[/tex]

[tex]\dfrac{9}{4}=\dfrac{27}{y}[/tex]

[tex]9\times y=27\times 4[/tex]

Divide both sides by 9.

[tex]y=\dfrac{27\times 4}{9}[/tex]

[tex]y=3\times 4[/tex]

[tex]y=12[/tex]

Therefore, the value of y is 12.

Answer:

boys : 36

girls : 24

Step-by-step explanation:

60 - 12 = 48

48 ÷ 2 = 24 (girls)

24 + 12 = 36 (boys)

sorrbut is this phythagroas theorm

Answer:

[tex]\sqrt{51}[/tex]

Step-by-step explanation:

It's a right triangle so, [tex]a^{2} +b^{2} =c^{2}[/tex]

a=7

c=10

b=?

49+[tex]b^{2}[/tex]=100

100-49=[tex]b^{2}[/tex]

51=[tex]b^{2}[/tex]

b=[tex]\sqrt{51}[/tex]

Answer:

50 students in total or X=50

Step-by-step explanation: 12 is 24% of X

We can make this into a box-like figure

12  24

X   100          X is the missing number

We then multiply 12 by 100 which equals to 1,200.

We then divided the 1,200 by 24, this results in your X which equals to 50.

X=50 students

Answer:

F=Mxa

Step-by-step explanation:

Therefore, Mass of 40kg x 10ms² = 400N

Answer:

57

Step-by-step explanation:

Answer:

6:25:9

Step-by-step explanation:

12:50:18

6:25:9

I think the question is asking for the ratio to be simplified, if so then that's what the answer is.

Answer:

75

Step-by-step explanation:

12 : 50 :: 18 : x

In proportion, Product of extremes  = Product of means

                       12 * x = 50*18

                             [tex]x =\frac{50*18}{12}=\frac{50*3}{2}[/tex]

                             x = 25 * 3 = 75

Answer:

I think (25, 20) is your answer. hope it helps.

The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The coordinates from graph are (5, 4), (10, 8), (15, 12) and (20, 16).

Equivalent ratios are ratios that can be simplified to the same value by dividing both the values by a common fraction.

Here,

(5, 4)=5(5, 4)=(25, 20)

(10, 8)=2(10, 8)=(20, 16)

(15, 12)=2(15, 12)=(30, 24)

(20, 16)

The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.

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Answer:

30

Step-by-step explanation:

6 x 5= 30

six gallons per day times 5 work days

Answer:

1 3/8 inches

Step-by-step explanation:

Total Length after adding 2 meteors of equal length = 16 inches

Let the length of the added meteor = x

To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;

(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16

13.25 + 2x = 16

13.25 + 2x = 16

2x = 16 - 13.25

2x = 2.75

x = 1.375

1.375 = 1 3/8

Answer:A.112

each piece of pizza has 28 pieces of pepporoni

so you would do 4*28 to get 112

Step-by-step explanation:

Answer:

In mih's school there are 100 boys

While in Ella's school there are 80 boys

Step-by-step explanation:

X*1/5=20

X=100

X*1/4=20

X=80

Answer:

A and C are true

Step-by-step explanation:

because 8*5=40 so 8 and 5 both are factors of 40

the answer is c

Step-by-step explanation:

if you count by fives. 5 10 15 20 25 30 35 40. you get 40.

Answer:

help with what?

Step-by-step explanation:

plz tell me the question and i can help :)

Answer:

So when you  are round here is a trick or easy way to round, if 1-4 then round down. If it is 5-9 then round up.

Step-by-step explanation:

It might take time but when rounding you mostly round Depending on if your question saw round to the nearest tens or ones.

Answer:

[tex]s = 0.0394[/tex]

Step-by-step explanation:

Given:

0.612 0.523  0.606 0.631  0.584  0.592  0.644  0.597  0.639  0.607  0.564  0.673

Required

Calculate the sample standard deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]

[tex]\bar x = \frac{7.272}{12}[/tex]

[tex]\bar x = 0.606[/tex]

The sample standard deviation is then calculated using:

[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]

[tex]\sum (x - \bar x)^2 = 0.017098[/tex]

So, we have:

[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]

[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]

[tex]s = \sqrt{0.00155436363}[/tex]

[tex]s = 0.0394[/tex] -- approximated

Answer:

It will take 24 minutes before they are on the same problem.

Step-by-step explanation:

Caroline is on number 12 and can solve 1 math problem in 1.5 minutes.

Per minute, she solved [tex]\frac{1}{1.5} = \frac{2}{3}[/tex] of a problem. So, after t minutes, she will be on the problem:

[tex]Ca(t) = 12 + \frac{2t}{3}[/tex]

Chase is on number 16 and can solve 1 math problem in 2 minutes.

Per minute, he solved [tex]\frac{1}{2}[/tex] of a problem. So, after t minutes, he will be on the problem:

[tex]Ch(t) = 16 + \frac{t}{2}[/tex]

How many minutes will it take before they are on the same problem?​

This is t for which:

[tex]Ca(t) = Ch(t)[/tex]

So

[tex]12 + \frac{2t}{3} = 16 + \frac{t}{2}[/tex]

[tex]\frac{2t}{3} - \frac{t}{2} = 4[/tex]

[tex]\frac{4t-3t}{6} = 4[/tex]

[tex]\frac{t}{6} = 4[/tex]

[tex]t = 24[/tex]

It will take 24 minutes before they are on the same problem.

Answer:

0.0537634409. This is your answer.....

Hope it helps!!!!!

Answer:

465 divide 25  = 18.6

25 divide 465 is 0.05347634

Step-by-step explanation:

Answer:

1.80

Step-by-step explanation:

1%=0.01

10%=0.10

100%=1.00

Answer:

Graph A bc it's the only graph that shows that every 3 years his investment doubles.

Answer:

The school has 6 periods a day needs 1 hour for each.

Step-by-step explanation:

8 period =45×8=360 minute

6 perod =360/6=60minute