In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?

Answers

Answer 1

Answer:

[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]

sin= opposite over hypotenuse


Related Questions

Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1

Answers

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3

Answers

Answer:

y = –5x – 17

Step-by-step explanation:

First, we shall determine the slope of the equation y = 1/5x – 3.

The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.

This is illustrated below:

y = 1/5x – 3

y = mx + c

Thus, the slope (m) of equation

y = 1/5x – 3 is 1/5

Next, we shall determine the slope of the line perpendicular to the equation as follow:

For perpendicular lines, their slope (m1 and m2) are related as follow:

m1 × m2 = –1

m1 = 1/5

1/5 × m2 = –1

m2/5 = –1

Cross multiply

m2 = 5 × –1

m2 = –5

Therefore, the slope of the line is –5.

Finally, we shall determine the equation of the line as follow:

Coordinate = (–5, 8)

x1 coordinate = –5

y1 coordinate = 8

Slope (m) = –5

y – y1 = m(x –x1)

y – 8 = –5(x – (–5))

y – 8 = –5(x + 5)

y – 8 = –5x – 25

Rearrange

y = –5x – 25 + 8

y = –5x – 17

Therefore, the equation is y = –5x – 17.

Triangle ABC will be dilated according to the rule

[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.

What will be the coordinates of vertex A' of the image?


a. (-8,-4)

b. (-2,-1)

c. (0, 0)

d. (1, 0)


The answer is (1,0), but could someone explain how you get it, please?

Answers

Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.

In this case the center of dilation is located at F: (3,1)

The first step we must take is to find how many units point F is from vertex A.

In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)

Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)

4 * 0.25 = 1

8 * 0.25 = 2

This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:

1 unit vertically

2 units horizontally

Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:

Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)

Reference the second image to see this

Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.

~Just a girl in love with Shawn Mendes

Answer:

D 1,0

Step-by-step explanation:

credit to the one up above

Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2​

Answers

Answer:

4x^2+8x-5

Step-by-step explanation:

You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5

Please help ASAP
Drag and drop the numbers into the correct locations​

Answers

Answer:

first box: -1

second box: √-1

Step-by-step explanation:

the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.

what is 7/8 times 3 1/4

Answers

Answer:

hi friend , your answer would be 7/8 x 3  1/4 = 91 /32 in fraction form.

Step-by-step explanation:

so friend here is my explanation :

now you can see you are multiplying with a mixed fraction .

so :

convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1  =  13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2  27 / 32

hope this helps , pls mark as brainliest .

The value of 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91 /32.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression is 7/8 times 3  [tex]\frac{1}{4}[/tex].

Here we are multiplying fraction to mixed fraction.

We will convert mixed fraction to improper fraction.

To convert into improper fraction,

we will use the formula;

fractional number = denominator x whole no . part + numerator

numerator part of fractional number = 4 ×3 +1 = 13

Now we have 13/4

Multiply 7/ 8 x 13/4 = 91 / 32

Therefore , the 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91/32.

To learn more about the multiplication;

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Can someone help me it would be appreciated

Answers

Answer:

X^6 is the GCF

Step-by-step explanation:

Because what x^6 is will be more than x^4

the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?

Answers

Answer:

p[

Step-by-step explanation:

p[

What is the value of g?

25(g−7)=3

Answers

Answer: G=7.12

Step-by-step explanation: 25g-175=3 add 175 to both side which makes the equation 25g=178 and divide 178 by 25 which gives you 7.12

Answer:

g=178/25

Step-by-step explanation:

Step 1: 25(g-7)/25=3/25

Step2: g-7=3/25

Step 3: g-7+7=3/25 + 7

Answer: g=178/25

Decimal form would be g=7.12

Simplify: (16x^3– x² + 3)-(-12x^3 + 3x^2 + 2)

Answers

Answer:

[tex]28x^{3} - 4x^{2} + 1[/tex]  

I hope this helps!

Answer:

28x^3-4x^2+1

Step-by-step explanation:

Please make me Brainliest

Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form

Answers

Answer:

y = 75x + 800

Step-by-step explanation:

Answer:

y = 75x + 800

'x' represents the number of people

800 represents the base rate

What is the value of x?
A)9.4
B)7
C)-9.4
D)-7

Answers

Answer:

we need to see the problem

Step-by-step explanation:

try sending a picture

PLEASE HELP ASAP!! I'LL GIVE YOU BRAINLIEST!!

Answers

Answer:

-5

Step-by-step explanation:

This is the correct answer, I messed up at first so I edited it. (my bad)

A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.

Answers

Answer:

2 1/2 ounces

Step-by-step explanation:

If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers

5/6 × 3

3 can also be written as 3/1

5/6 × 3/1

multiply the numerators and denominators separately

5 × 3/6 × 1

15/6

Both 15 and 6 have a common factor of 3 so divide both numbers by 3

15 ÷ 3/6 ÷ 3

5/2

This is simplest form in terms of improper fractions

If you want it as a whole number it would be:

2 1/2

This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)

Hello

Answer:

2.5 ounce

Step-by-step explanation:

Weight of each coin=5/6 ounce

Weight of 3 such coins= 3*5/6

                                     = 2.5 ounces

Hope its in the simplest form....


Does this represent a function?

y^2 = 16 – 4x^2

Answers

It’s not a function because when it’s graphed put it doesn’t pass the vertical line test

give the solution please now it is argent​

Answers

Answer: I am also not knowing this answer I am confused about the question.

Step-by-step explanation:

Answer:

your question is confusing

Step-by-step explanation:

im sorry

Simplify and factor the expression 9(4p-2) - 4(3p-2)

Answers

Answer:

24p - 10

Explanation:

Three friends, Hannah, Jeremy and Delmon, were watching the Tigers game on TV. The Tigers were losing, so they started talking about how old each of them was. Jeremy, who was the oldest, noticed that they were all between the ages of 11 and 30. Hannah noticed that the sum of their ages was 70. Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!" Hannah then realized that the difference between her age and each of the guys was more than 5 years. How old was each person?

Answers

Answer:

The age of  Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively

Step-by-step explanation:

Let H , J and D be the age of  Hannah, Jeremy and Delmon respectively.

We are given that Hannah noticed that the sum of their ages was 70.

H+J+D=70---1

Now we are given that Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!"

J-D>10

Now we are given that Hannah then realized that the difference between her age and each of the guys was more than 5 years.

So, D-H>5

J-H>5

D-H=5---2

J-H=5

So, D=J

Substitute in 1

2D+H=70 --3

Substitute the value of H from --3 in 2

D-70+2D=5

D=25

So, J = 25

Substitute values in 1

H+25+25=70

H=20

Hence the age of  Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively

this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question

Answers

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

A music video website received 5,000 comments on a new song they released. The next day, the artist performed the song on television and an additional 1,500 comments were made on the website. What was the percent of increase? Round the percent to the nearest tenth if necessary.

Answers

Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

Answer:

30%

Step-by-step explanation:

what else would need to be congruent to show that EFG = HIJ by SSS?​

Answers

Answer:

EG=HJ

Step-by-step explanation:

The SSS postulate says that if all of the sides lengths of the triangle are given, then the second triangle will be congruent. We are given the side lengths of two sides so that means that we only need the side lengths of the last side.

Answer:

EG=HJ

Step-by-step explanation:

brainliest plz

correct for ap-ex

if 9:x=36:20, What is the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

Expressing the ratio in fractional form , that is

[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )

36x = 180 ( divide both sides by 36 )

x = 5

It is known that solve for the value of x algebraically.

Answers

Answer:

this question doesn't make since

Step-by-step explanation:

Hi purple (I think that was your name) please hopefully you see this I was messing around with this app and I logged out I was logged in with my old school email so now it doesn’t work so I had to make this acc it’s my school new school email please send me the pic of the carnival hw again please.

Answers

Answer:

I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.

170.04 in standard form is?

Answers

Answer:  0

Step-by-step explanation:

1) A pair of snow boots at an equipment store in Big Bear costs $60. If there is a tax of 7% how much do you pay?
O $64.20
O $67.00
O $53.00
O $42.60

Answers

the answer will be 53.00 dollars

Answer:

$64.20

Step-by-step explanation:

%7 of a dollar is .07

.07 × 60 = 4.20

4.20 + 60 = 64.20

Hi help please this is due today please help ASAP

Answers

Answer:

Step-by-step explanation:


Match the side and angle measures of each triangle to its correct classification.

Answers

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

Learn more about types of triangles here

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Which fraction is in simplest form?

​2-10​

​5-12​

​3-6​

​4-8

Answers

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

5/12 is in simplest form because you can not divide 5 into a half.

what is 328 divided by 23 with the remainder

Answers

Answer:

7.1

Step-by-step explanation:

328 23 = 14.2608695652

14.2608695652 = 142.608695652 to the nearest tenth

14.2608695652 = 14.26 to the nearest hundredth

14.2608695652 = 14.261 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

328 divide by half plus 20

Homework answers: (328/2) + 20 = 184

328 divide by half plus 40

Homework answers: (328/2) + 40 = 204

328/23 divided by 2

Answer: (328/23) ÷ 2 = 7.13043478261

14.27 if rounded up if not den 14.26086956521739
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