In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?

Answers

Answer 1

Answer:8/15

Step-by-step explanation:

Answer 2

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]

Further, the sides can be written as,

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]

Now, the Tan(∠H) can be written as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

Substituting the value for the ∠H in ΔHJG,

[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]

As the ratio is already known, therefore,

[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]

Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Related Questions

can some 1 answer this pls

Answers

Answer:

you are right

Step-by-step explanation:

x²-2x-8≠0

⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4

Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.

Answers

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

Help!!! I will give you a follow

Answers

Answer:

Red

Step-by-step explanation:

Let x = number of laps and Let y = time taken to complete laps

She is able to run one lap in 7 minutes

Given this information we want to create an equation

the equation would be

7x = y

Now that we have created an equation we want to find how many laps she can run in 56 minutes.

The time is represented by 7 so we plug in 56 into y

so now we have

7x = 56

Finally we solve for x

*divide each side by 7*

56/7 = 8

7x / 7 = x

we're left with x = 8 meaning that she can run 8 laps in 56 minutes

In conclusion the answer is the Red one

the answer to the question is the last choice

A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.

Answers

Answer:

The height is 7 inches

Step-by-step explanation:

Given

[tex]Base\ Area = 15in^2[/tex]

[tex]Volume = 105in^3[/tex]

Required

Determine the height [missing from the question]

The volume of a hexagonal prism is:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

[tex]Height = \frac{105in^3}{15in^2}[/tex]

[tex]Height = \frac{105in}{15}[/tex]

[tex]Height = 7in[/tex]

58
Find the volume of a prism. The area of the hexagonal base is
m2. Its height is 7
tan30°
m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about
m?
please help !

Answers

Answer:

I dont think this is the right answer but 8.256

Step-by-step explanation:

Greyson reads 36 1/3 pages in 40 minutes, or 2/3 of
an hour. At this rate, how many pages can he read
in one hour?

Answers

Answer:

18 1/6+31 1/3= 49 1/2 pages in one hour.

Step-by-step explanation:

Hope this help and have a wonderful day!!!

QUESTION 8 of 10: Juanita, the stadium manager, spends $10,000 on a broadcast TV ad, $15,000 on a cable TV ad, and $4,000 on a radio ad
What percentage of radio advertising did she do? (Round to the nearest percent.)

Answers

Answer: 13.79%

Step-by-step explanation:

Amount spent on broadcast TV advertisement = $10000

Amount spent on cable TV advertisement = $15000

Amount spent on radio advertisement = $4000

Total amount spent advertisement = $10000 + $15000 + $4000 = $29000

The Percentage of radio advertisement done will be:

= (Amount spent on radio advertisement / Total amount spent advertisement ) × 100

= (4000 / 29000) × 100

= 13.79%

Find the values of x and y. Write your answers in simplest form.

Answers

Step-by-step explanation:

You have this rule, if there is < 30° then value of y is

y=12✓3:2

y=6√3

And Pitagora's theorem:

c²=a²+b²

In this case:

(12√3)²=y²+x²

Then x is:

x²= (12√3)²-y²

x²= (12√3)²-(6√3)²

x²=432- 108

x²= 324

x=✓324

x=18cm

Suppose you want to buy a $151,000 home. You found a bank that offers a 30-year loan at 4.7% APR. What will be your monthly payment? (Round to the nearest cent.)

Answers

Answer:

the monthly payment is $783

Step-by-step explanation:

The computation of the monthly payment is shown below:

Given that

PV = $151,000

NPER = 30 × 12 = 360

RATE = 4.7% ÷ 12 = 0.39166

FV = $0

The formula is shown below

= PMT(RATE;NPER;-PV;FV;TYPE)

AFter applying the above formula, the monthly payment is $783.14

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.

Answers

The function rule is f(x) = x - 12 and the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Completing the function table and write the function rule.

From the question, we have the following parameters that can be used in our computation:

Input(x) Output(y)

32 20

14 2

? −6

-2 -14

-10 ?

The slope is calculated as

m = (2 - 20)/(14 - 32)

m = 1

So, the equation is

y = mx + c

Using the points, we have

1(32) + c = 20

Evaluate

c = -12

So, we have

f(x) = x - 12

Using the above function, we have the following function values

f(-10) = -10 - 12 = -22

x - 12 = -6

x = 6

So, the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Answers

Answer:

20 noisemakers; 40 balloons; 5 napkins

Step-by-step explanation:

n = noisemakers amount

b = balloons amount

k = napkins amount

n/4 = k

b = 2n

b + n + k= 65

plug first and second equation into the respected variables in the 3rd equation so:

2n + n + n/4 = 65

multiple both sides by 4 to get rid of fraction

4(2n + n + n/4) = 4*65

8n + 4n + n = 260

13n = 260

n = 20

use n = 13 to get the other variables

b = 2(20)

b = 40

(20)/4 = k

k = 5

Which line segment is an altitude of ΔVWY?

Answers

Answer:

Step-by-step explanation:

just trust I know the x is the altitude

Name the angle pairs that are vertical angles.
Select all angle pairs that are vertical angles.
A. ∠F and ∠L
B. ∠E and ∠N
C. ∠R and ∠V
D. ∠Y and ∠W

Answers

Answer:

A and C

Step-by-step explanation:

Vertical angles are angles that are created when two lines cross. They are angles opposite from each other. (another way of saying it:) Vertical angles are angles opposite each other where two lines cross.

Hope this helps! :)

What is the value of the missing angle

Answers

Answer:180

Step-by-step explanation:

For anybody who wants to know.
It’s -5,1

Answers

Answer:

Step-by-step explanation:

cool

how nice of you 2&:$82727:727/))-$-

2.

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.

inverse variation; xy = 12

inverse variation; [tex]\frac{y}{x} =12[/tex]

direct variation; y = 12x

direct variation; [tex]y=\frac{12}{x}[/tex]

Answers

Answer: Other Answers..

SHOW ANSWER

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Step-by-step explanation: Brainly answers.. -_-

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Answer:

The correct option is B.

Step-by-step explanation:

From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.

The inverse variation is defined as

Where, k is constant of proportionality.

From the given table it is clear that the value of y is 6 at x=2.

The value of k is 12. So, the required model is

Therefore, the correct option is B.

Answer: B

Step-by-step explanation:

Calculate the surface area of the square pyramid below.

yd2

Answers

Answer:

155

Step-by-step explanation:

Please help 13 points geometry!!

Answers

1, 140 °

2, 40°

3, 100 °

4, 100°

5, 40°

6, 90 °

7, 120 °

8, 130 °

Step-by-step explanation:

1, BOA IS EQUAL TO FOH = 140°

2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°

3, BOA° + GOF° =40° + 60° = 100 °

4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°

5, COD = HOG =40 °

6, EOD= AOG = 90°

7, AOD = GOE + COD = 100° + 40 ° = 140°

8, BOG = 140 °

What is the simple interest on $450 at 7% for 2 years?

Answers

Answer:

I = $220.50

Step-by-step explanation:

Simple Interest Formula is I = prt

P= Principal $450

R= Rate 0.07

T= Time 7 years

I = (450)(0.07)(7)

I= $220.50

$220.50
That’s the answer

What is the volume of a sphere with a radius of 3 inches?
12 pi cubic inches
24 pi cubic inches
36 pi cubic inches
48 pi cubic inches

Answers

Answer:

36π cubic inches

Step-by-step explanation:

V = 4/3 πr³

radius (r): 3

= 4/3π(3)³

= 4/3π (27)

= 36π

The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?

Answers

The drone's descent can be modeled by a linear function as the rate of descent is constant.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.

For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:

m = -16/6 = 2.67 m/s.

As the slope is constant, a linear function can model the situation.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

como resolve essa conta
p = 8 + 10?

Answers

P equals 18 because 8 plus 10 is 18.

Answer:

P equals 18 because 8 plus 10 is 18.

Step-by-step explanation:

HELPPPPP PLEASE!!!!
Factoring Trinomials X2-4x+24

Answers

The answer is whatever the person above is about to answer

Answer:

it shouldn't be able to be solved but it depends on your teacher

Step-by-step explanation:

George decided to use blue paint to paint a wall with two windows. The wall is 12 7 8 ft by 8 ft. Both windows are 3 1 2 ft by 4 1 2 ft rectangles. Can someon egive me an answer as a whole number not a fracction Please.

Answers

The answer is 21 because I peeled my first banana

HEEEEEELPPPPPPP!!!!!!!

Answers

Answer:

true

Step-by-step explanation:

your answer is trueeeee

A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST

Answers

A semi circle is half a full circle. Find the area of the full circle and divide it by 2.

Area of a circle = pi x r ^2

R is half the diameter

Area of full circle:

Area = 22/7 x 21^2

Area = 1386 sq. Ft

Area of stage = 1386/2 = 693 square feet

Answer:

3.14 x 42 x 42 = 5538.96ft

If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.

Step-by-step explanation:

:))

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:

B)é a reposta

PLEASE HELP!! WILL GIVE LOTS OF POINTS Which of the following functions shows the absolute value parent function,
F(x) = |x|, vertically stretched

Answers

Answer:

Step-by-step explanation:

vertically stretched is on the outside of the |x| and has to be grater than 1

I agree that the answer is D.

Can someone please tell me the answers

Answers

Answer:

A is the correct answer. pls mark me brainliest

Which one is it ? I need help
1. 60
2. 55
3. 65
4. 180

Answers

the answer should be 55

Answer:

Explanation:

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In this figure, triangle GHJ is similar to triangle POR. Based on this information, which ratio represents tan H?

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In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?