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]\sin F =\dfrac{12}{37}[/tex]  

Step-by-step explanation:

We are given the following in the question:

GF = 37 units

HG = 12 units

FH = 35 units

We have to find the ratio that represents sine of ∠F.

Formula:

[tex]\sin F = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin F = \dfrac{HG}{GF}=\dfrac{12}{37}[/tex]

is the required ratio of sine of ∠F.

The attached image shows the triangle.

In FGH, The Measure Of H=90 GF = 37 HG = 12 And FH = 35. What Ratio Represents The Sine Of F?
Answer 2
Final answer:

In the right triangle ΔFGH, the sine of ∠F is represented by the ratio of the opposite side (HG) to the hypotenuse (FH), so the sine of ∠F is 12/35.

Explanation:

In the right triangle ΔFGH, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Considering ∠F, the side opposite to it would be HG and the hypotenuse in this scenario would be FH.

Given that HG = 12 and the length of the hypotenuse FH = 35, then the sine of ∠F (sin F) would be represented by the ratio 12/35.

Therefore, the sine of ∠F in the triangle ΔFGH is 12/35.

Learn more about Trigonometry here:

https://brainly.com/question/11016599

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Related Questions

3O POINTS!! AND I WILL MARK THE BRAINLEST ANSWER EVER PLZ HELPP MEEE
Caluate
19.6 x 2 1/5 + (5.25 x 1 1/5 - 4.5 x 4/5
x=times
/= make fraction
the answer is 45.82
but i need the work on how to do it

Answers

Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2

Do multiplication and division first.

5.25*1.2 = 6.3

Now it looks like: (6.3 - 4.5*4/5)

Convert 4/5 to a decimal: 4/5 = 0.8

(6.3 - 4.5*0.8)

Multiply 4.5*0.8 = 3.7

Subtract (6.3 - 3.7) = 2.6

Now the full equation is: 19.6*2 1/5 + (2.6)

2 1/5 as a decimal: 2.2

Multiply 19.6*2.2 = 43.12

Now the equation is: 43.12 + 2.6

Add 43.12 + 2.6 = 45.72

Salma and coron broomall have reached an agreed upon price of $197,000. They plan to make a 30 percent down payment and finance the rest at 6 percent for 20 years. What is the monthly payment? What is the total amount to be paid?

Answers

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

The high school is renovating its rectangular swimming pool. Tiles will cover the bottom of the
75 feet by 30 feet pool. They will not cover the 10 feet by 8 feet rectangular logo in the center of
the floor. Determine the area of the pool floor that needs tiles.

Answers

Answer:

2170 feet squared

Step-by-step explanation:

(75 feet × 30 feet) - (10 feet × 8 feet)  = 2170 feet squared

Find the length of AC.

Answers

Answer:

21√2 m

Step-by-step explanation:

AC = √AD²+CD²

= √21²+21²

=√2×21²

= 21√2 m

Answer:

I think its 42 maybe? I'm maybe wrong though.

Question 5 (5 points)

(08.03 LC)

Determine the factors of x2 – 8x – 12. (5 points)

(X-6)(x + 2)


(x + 3)(x – 4)


Prime


(x + 6)(x - 2)

Answers

Answer:

[tex](x-9.291)\cdot (x + 1.292)[/tex]

Step-by-step explanation:

The factors of the given polynomial ([tex]x^{2}-8\cdot x - 12[/tex]) are derived from the General Formula for Second-Order Polynomials:

[tex]x = \frac{8 \pm \sqrt{64 - 4\cdot (1)\cdot (-12)}}{2\cdot (1)}[/tex]

[tex]x_{1} \approx 9.291[/tex] and [tex]x_{2} \approx -1.292[/tex]

The factors of the polynomial are:

[tex](x-9.291)\cdot (x + 1.292)[/tex]

Answer:

The answer is prime.

Step-by-step explanation:

x2 – 8x – 12

We need two numbers which are factors of 12 such that their product is -12 and their sum is -8. The factors are 1, 2, 3, 4 and 6 but no two numbers satisfy the requirements of summing up to -8 and product of -12.

Therefore the equation is a prime as it has no factor

We can also check if the equation has a factor using the formula for general quadratic equation of ax² + bx + c = 0, the formula is;

(b² - 4ac)

If the answer is a perfect square only then we can factorize the equation.

In the given equation x² - 8x - 12

b = -8 and c = -12

b²- 4ac = (-8)² - 4(1)(-12) = 64 + 48 = 112

Since 112 is not a perfect square number, we can say there is no factors for the given equation.

WILL MARK BRAINLIEST IF I GET A CORRECT ANSWER
HELPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

I think it is 112 cm^3.

Step-by-step explanation:

The face of the object is 14 (1cm^3) cubes. The side has 8.

14 x 8 = 112 cm^3

I hope this helped !

Answer:

56

Step-by-step explanation:

To find volume, you multiply lengh x width x height.

The answer is 7 but does anyone know how to show the work ?

Answers

Answer:

uhh sorry man no can do

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

An inscribed angle represents half of its intercepting arc. So what I did was add [tex]19x + 13[/tex] and [tex]90[/tex] which comes to [tex]19x + 103[/tex]

Angle Q would be half of [tex]19x + 103[/tex].

[tex]Q = \frac{19x +103}{2}[/tex]

The opposite of Q is [tex]7x + 13[/tex].

I will call this angle "y" just to explain.

y + Q = 180

This means we just have to plug everything in.

[tex]7x + 13 +\frac{19x + 103}{2} = 180[/tex]

Solve for x.

[tex]7x +\frac{19x + 103}{2} = 167[/tex]

[tex]2(7x +\frac{19x + 103}{2}) = (167)2[/tex]

[tex]14x +19x +103 = 334[/tex]

[tex]33x = 231[/tex]

[tex]x = 7[/tex]

I haven't done geometry is forever so I really hope this makes sense and it helped you! :)


You are
feet above the ground.
A circular carnival ride has a diameter of 120 ft. Suppose you board a gondola
at the bottom of the circular ride, which is 6 ft above the ground, and rotate
240° counterclockwise before the ride temporarily stops. How many feet
above ground are you when the ride stops?
stopping
position
starting position
(0,0)

Answers

Answer:

36 feet

Step-by-step explanation:

The diameter is 120 ft, which means the radius is 60 ft.

240° counterclockwise from the bottom of the circle is a standard angle of 150°.

The vertical position is therefore:

y = 6 + 60 sin 150°

y = 36

Answer: 96

Step-by-step explanation:



Chad ran a red light and hit another car. He decided to file a claim for damage

to his vehicle. Which deductible would he have to pay before he receives a

payment from the insurance company?


A. Comprehensive

B. Premium

C. Collision

D. He would not have to pay any deductible because he was not at

fault.

Answers

Answer:

Comprehensive deductible

Step-by-step explanation:

There is nothing called Premium deductible rather deductible determines how higher of lower a premium on a subject matter of insurance can be. Deductible is the amount with the insured have to bear at loss and any excess above the loss will be compensated by the insurance company.

Comprehensive deductible is the application to only to comprehensive insurance which was what Chad had on his motor vehicle. Comprehensive insurance covers majority of peril that happens to the insured vehicle. Therefore, comprehensive deductible is the deductible Chad has to bear himself before the insurance company take other losses upon theirself..

If he had $500 deductible on his car and total repair cost $700, then he will bear the $500 while the insurance company is entitled to pay only $200 as per policy statement.

Answer:collision

Step-by-step explanation:

Ms. Wilson studied her biology students' homework and test scores. She found that students who completed more homework did not
to earn higher or lower scores on the test. What should she conclude?

A. There is no correlation
B. There is correlation, and probably also causation
C. There us a correlation, but may or may not be causation

Answers

Answer:

The Answer is the Number 2,

I mean Point #2!

I Hope this WORKS! 100%

In the first example's answer, y is
raised to the power​

Answers

Answer:

wait, what the question? y is raised to what?

Step-by-step explanation:

The diameter of a circle is 24 centimeters. What is the circle's area?

Answers

Answer:

The diameter is 24 so the radius is 12 then we do pi*r^2 or pi*12^2

We can use our numbers and get pi*144 so the area of the circle is 144pi.

If they have given you what pi is

EX:( 22/7 or 3.14)

Just use that instead of pi and multiply 144 to that

Please help! I will mark you as brainliest!

Answers

Step-by-step explanation:

as we know that the power will be multiplied then

[tex] ({5}^{3} ) ^{6} [/tex]

[tex] {5}^{18} [/tex]

Hope it will help :)

Ayana and Tabitha recorded the amount of time spent on homework on ten school days. Graphs of their data are shown
yana's Time Spent on Homework
Tabitha's Time Spent on Homework
Which best explains who spends more time on homework?
Ayana, because she has a higher maximum time spent
Ayana, because she has more variability in her time spent
Tabitha, because she has a higher median time spent
Tabitha becauca che hae more
in her timo enant
plz help now!!!!!!

Answers

Tabitha, because she has a higher median time spent

Answer:

c

Step-by-step explanation:

trust memememememme its right i know the pain of e d g e. its sad

what is 0+0 it is totally hard

Answers

Answer:

It's 0 I am so smart lol

Step-by-step explanation:

Watch out somebody might delete your question

15 is 6% of what number?

Answers

Answer:

250

Step-by-step explanation:

If 15 is 6% multiplying it by 16.66666666666667‬ will make it 100%

15 x 16.66666666666667‬ = 250

Another way to do this is divide by 6 and multiply by 100

where is the maximum value for this quadratic function?


A) (1, 0)

B) (0, 3)

C) (–1, 4)

D) (–3, 0)

Answers

The answer to this question is c

Answer:

The answer is C) (-1,4) ;)

Step-by-step explanation:

Which is the most reasonable estimate for 30% of 72?

Answers

A good estimate for 30% of 72 is 24, calculated by finding one-third of 72 or multiplying 10% of 72 by 3. This provides a reasonably close value quickly and without needing a calculator.

Estimating 30% of 72

To find a reasonable estimate for 30% of 72, we can use mental math to simplify the calculation. 30% is close to one-third, and for an estimate, one-third of 72 can be found by dividing 72 by 3, which gives us 24. Thus, a reasonable estimate for 30% of 72 is approximately 24. This is not an exact calculation, but it's a quick way to get a rough estimate that is easy to handle and useful for making plans that do not require precise amounts.

It's important to note that while certain percentages are easier to compute, such as 10% (simply move the decimal point one place to the left), 30% can be estimated by finding 10% of the number and then multiplying that by 3. Here, 10% of 72 is 7.2, and multiplying that by 3 gives 21.6, which rounds up to 22, slightly lower than our one-third estimate of 24.

Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.


What is Stefan’s annual premium?

Explain how you found your answer and show all work for full credit.

Answers

Answer:

total annual cost = $682.50

Step-by-step explanation:

given data

Stefan age = 36 year

bought amount =  $150,000

policy time period  = 10 year

solution

we get here Stefan’s annual premium so here

policy for 10 year cost =  $4.55 per thousand dollars

as given in attachment data

total amount of thousands of coverage will be

amount of thousands of coverage = [tex]\frac{150,000}{1,000}[/tex]   = 150

and

total annual cost =  150 × $4.55

total annual cost = $682.50

Find the distance between the two points. Round to the nearest tenth if necessary.

(–2, –1) and (3, 5)
a
3.6
b
7.8
c
4.1
d
2.2

Answers

Answer:

the answer to the nearest tenths is 7.8

Answer:

your answer is B

Step-by-step explanation:

Apples are on sale for \$3.12$3.12dollar sign, 3, point, 12 per kilogram. Is the total cost of the apples proportional to the total mass?


I need the answer asap

Answers

Answer:

yes 3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Cost = 3.12 × n

Where n is the no. of kgs

Which of these numbers is in the solution set of x + 5 = 15? A. 10 B. 3 C. 20 D. 11

Answers

Answer:

A

Step-by-step explanation:

10 + 5 = 15

Answer: A

Step-by-step explanation:

x+5=15

  -5  -5

x=10

The rectangle shown has length AC = 32, width

AE = 20, and B and F are midpoints of AC and AE , respectively. The area of quadrilateral ABDF is:

A. 320 B. 325 C. 330 D. 335 E. 340

Answers

Answer:

A. 320

Step-by-step explanation:

See attachment for the figure

in order to determine Area of quadrilateral ABDF, we'll use the formula i.e

Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)

whereas, area of AECD = (AC × AE)

Area of ΔBCD = 1/2 (BC x CD)

Area of ΔDEF =1/2 ( EF x ED)

Substituting in eq(1)

eq(1)=>

Area of quadrilateral ABDF =  (AC × AE)  - 1/2 (BC x CD)- 1/2 ( EF x ED)

                  =(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)

                  = 640 - 160 - 160

                  = 640 - 320

                 = 320 square unit

Therefore, the area of quadrilateral ABDF is 320 square unit

Ac is tangent to circle at point c what is the measure of oac?

Answers

Answer: 27 degrees

Step-by-step explanation: 180-90 because its perpendicular -63=27

find how long it takes (in seconds) for a car to travel when the car is going a speed of 20mph on a 100 foot track.

Answers

Answer:

3.4 seconds

Step-by-step explanation:

First, you have to change 20mph to feet per seconds. To do this, multiply mphs by 1.4667. When you multiply 20mph by 1.4667, you get 29.3333 fps.

Divide 100 by 29.333 to get 3.40909478 (3.4) seconds

Answer:

3.41 sec

Step-by-step explanation:

We need to use the formula: [tex]d=rt[/tex] , where r is the rate of the object, t is the time, and d is the distance.

Here, we know that the distance is 100 ft and that the rate is 20 mph. However, let's change the distance to miles because the rate is in miles.

There are 5280 ft in 1 mile, so:

5280/1 = 100/x  ⇒  x = 100/5280

Then, d = 100/5280 miles and r = 20. Plug these in to find t:

100/5280 = 20t

t = (100/5280) / 20 hours

Now, we need to convert hours to seconds. There are 3600 seconds in 1 hour, so multiply our current t by 3600:

t = [(100/5280) / 20] * 3600 ≈ 3.41 sec

Hope this helps!

Please answer this correctly please label the numbers correctly and please write the answers correctly

Answers

Points pointed and labeled !! I hope this helps and you can use to reference in the future !

Answer:

Points pointed and labeled

Step-by-step explanation:

1: Look at the two inequalities above. What value of x makes both inequalities true?

Answers

anything equal to or over 5

Answer:5

Step-by-step explanation:

5*3+2=17

10-5=<7

Point W is located on QR so that

QW

What are the coordinates of Point W?

(3.3)

016.12.6./2)

. 9.9)

02.12.212)

O

Type here to search

EL

SND

A.

400

Answers

This question was incomplete. Here is the complete question:

Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W?

The picture of the question is attached herewith.

Answer:

The coordinates of W will be (9, 9)

Step-by-step explanation:

This question can be solved using the concept of similar triangles. In similar Triangles the ratio of the LENGTHS of their corresponding sides is equal.

So firstly we will complete the triangle by drawing a horizontal and vertical line joining at P. The coordinates of P will be (11, 3). The length QP will be 8 units. The length PR will be 8 units as well. This has been drawn for you in the diagram attache.

Next we will mark any point on line QR as W. The distance of W from Q is taken as x and the vertical distance of W from QP is taken as y.

Now using the similar triangle ratio rule.

The side represented by x is corresponding to side QP so:

x/8 = 3/4

x = 6

Similarly the side represented by y is corresponding to side PR.

y/8 = 3/4

y = 6  

Adding these lengths with the starting coordinate of Q(3, 3) to find the value of coordinates of W.

So 3+6 = 9 is the x coordinate of W and

3 + 6 = 9, is the y coordinate of W

W = (9, 9) ANS

What are the exact solutions of x^2 − 3x − 7 = 0?

Answers

Given:

The given equation is [tex]x^{2} -3x-7=0[/tex]

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

[tex]x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}[/tex]

[tex]x=\frac{3 \pm \sqrt{9+28}}{2}[/tex]

[tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]

Thus, the exact solutions of the given equation is [tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]

Hence, Option A is the correct answer.

PLEASE HELP
Brianlist will be marked

Randy left town on his bicycle, traveling
at an average of 16 miles per hour. Four
hours later, his older brother, Jimmy, went
looking for Randy on his motorcycle. Jimmy
traveled at an average of 48 miles per hour.
How long would it take Jimmy to catch up
to Randy?

Answers

Answer:

One hour and 20 minutes.

Step-by-step explanation:

Answer:

1 hour and 20 min. or 1 hour and 30 min

(This is a very confusing thing for me that's why it's either those 2)

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