In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the
length of HI to the nearest tenth of a foot.
X
22
57°
H

In AHIJ, The Measure Of ZJ=90, The Measure Of ZH=57, And IJ = 22 Feet. Find Thelength Of HI To The Nearest

Answers

Answer 1

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2


Related Questions

For every 5 balloons in the sky, 2 of them will be rainbow. If there was 150 of them in the sky, how many would be rainbow?

Answers

60 -> 2 times 150 then you divide it by 5.
Set up the proportion: 2/5=x/150
Cross multiply: 5x=300
Answer= 60 rainbow balloons

*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________

a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis

Answers

The graph crosses the x axis, because your roots are the x axis, so if you find where it intercepts the graphs at your x axis those are your solution or “zeros”

An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?

Answers

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

when you dont replace the marble for the second draw what kind of probability is it

Answers

Answer:

Dependent

Step-by-step explanation:

The probablity of the second draw depends on the results of the first draw.

What is the value of x?

Answers

Answer:

i dont know but the answer will be 1

which equation has x=4 as the solution

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(1) step by step below

Need help with this geometry question

Answers

Answer:

I think it's 6 (square root) 2

please I need help thanks if u helped me​

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?

Step-by-step explanation:

can anyone help with these four⁉️ Will mark brainliest:D !!

Answers

Answer:

Step-by-step explanation:

Nick spends 18% of his monthly budget on his rent payment, which is $700.

Which proportion can be used to calculate Nick’s total monthly budget?

Answers

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Please helpbajshsjs please anyways thanks a lot

Answers

Answer:

225 cm cubed

Step-by-step explanation:

(1/2•base)•height

Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help

Answers

in order to add the two fractions together, you need to get them to the same denominator so
1/3=2/6
2/6+1/6= 3/6
But 3/6 is not in it’s simplest form so 3 and 6 are both divisible by 3 so it would be 1/2. the answer is 1/2

can someone pls help for brainlest

Answers

Answer:

6 x 8 = 48 yd2 (square yards)

Step-by-step explanation:

Answer:

Area of triangle is 23 yd².

Step-by-step explanation:

Given :-

Base of triangle = 8 yd

Height of triangle = 6 yd

To find

Area of triangle

Solution :-

we know that,

Area of triangle = 1 / 2 × base × height

substitute the values

Area of triangle = 1/2 × 8 yd × 6 yd

multiplying the values

Area of triangle = 1/2 × 46 yd²

divide the values

Area of triangle = 46 yd ² /2 = 23 yd².

Therefore, Area of triangle is 23 yd ².

The distance between points A and B is?

Answers

Answer:

√85

Step-by-step explanation:

A (-3 , 4)    B (4 , -2)

AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85

AB = √85

Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu

Answers

Answer:

The answer is A. 31,250.

Step-by-step explanation:

To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].

Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].

Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].

Finally, multiply 2 by 15,625, and the answer will be 31,250.

pls answer this for me now

Answers

Answer:

(3) 48

Step-by-step explanation:

The angle inside the ABC one is two times its angle size

Someone please help me with this lol… have no idea what I’m doing

Answers

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

Please please help me with this

Answers

I think it is K, M, and L

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?

Answers

Given:

The cost of game = $25

Sales markup = 6%

To find:

How much do they each pay?

Solution:

The sales markup is 6% of the cost.

[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]

[tex]\text{Sales markup}=1.5[/tex]

Now, the total cost after sales markup is:

[tex]25+1.5=26.5[/tex]

Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is

[tex]\dfrac{26.5}{2}=13.25[/tex]

Therefore, Jane and Tannic will pay $13.25 each .

**PLEASE HELP**

Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))​

Answers

Answer and Step-by-step explanation:

Plug 3 in for f(x), then plug the result of f(x) into g(x).

f(3) = 3(3) - 5

f(3) = 9 - 5

f(3) = 4

g(4) = [tex](4)^2 - 4(4)[/tex]

g(4) = 16 - 16

g(4) = 0

So, g(f(3)) = 0

#teamtrees #PAW (Plant And Water)

Answer:

0 is the final answer

Step-by-step explanation:

Substitute given values for x accordingly

A family decides to hold two Christmas parties, one on Christmas Eve and one on Christmas Day. The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. The youngest person to attend the Christmas Day party is 27 and the oldest is 42. Which party has a larger age range of visitors?

Answers

Answer:

Christmas Party

Step-by-step explanation:

Christmas Eve party :

Youngest = 15

Oldest = 29

Therefore , range = 29 - 15 = 14

Christmas Party :

Youngest = 27

Oldest = 42

Therefore, range = 42 - 27 = 15

Christmas Day party has a larger age range of visitors.

Given that: The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. So the range is = 29 - 15 = 14.

Given that: The youngest person to attend the Christmas Day party is 27 and the oldest is 42. So, the range is  = 42 - 27 = 15.

Since 15 > 14, so Christmas Day party has a larger age range of visitors.

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Help me plsss!! Thanks

Answers

Answer: B or D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer must have 5! since it is a combinaiton of letters without any repeats. Since you want two words, its 2/5!

¿Qué tiempo será necesario para que $ 2.340.260 se conviertan en $3.393.377 al 1,25% de interés simple mensual?

Answers

Answer:

The right solution is "36 years".

Step-by-step explanation:

Given:

Principle,

P = $2,340,260

Amount,

A = $3,393,377

Simple interest,

SI = 3,393,377 - 2,340,260

   = $1,053,117

Rate of interest,

r = 1.25%

As we know,

⇒ [tex]SI=\frac{Prt}{100}[/tex]

By substituting the values, we get

⇒ [tex]1053117=\frac{2340260\times 1.25\times t}{100}[/tex]

⇒ [tex]10531170=292532.5\times t[/tex]

⇒              [tex]t=\frac{10531170}{292532.5}[/tex]

⇒                [tex]=36 \ years[/tex]

V = I ( R + r )
r = ?

Answers

Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

Ann borrowed $800 for 4 years the yearly interest was 16% how much interest did she owe after 4 years

Answers

Answer:

$512

Step-by-step explanation:

Interest = 16% of 800

             = 16/100 x 800

             = $128

Interest for 4 years = 128 x 4

                                = $512

Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.

Answers

Answer:

1 /24

Step-by-step explanation:

Given the 3 spinners :

Probability = required outcome / Total possible outcomes

Probability that Spinner 1 lands on A :

P(spinner 1 lands on A) = 1/2

Probability that spinner 2 lands on 4 :

P(lands on 4) = 1 / 4

Probability that spinner 3 lands on green :

P(lands on green) = 1/3

Combined probability = 1/2 * 1/4 * 1/3 = 1 /24

Complete the angle addition postulate for the following angle

Answers

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

sqrt x^ 2 +7 -2*=x-1​

Answers

Answer:

No solution for X€®Step-by-step explanation:

HOPE IT HELPS OR NOT SURE !!!!!!

-4х + 5y=— 28
4x – 3y = 20

Answers

I hope it's correct and it helps I don't know how to explain it lol

A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?

Answers

Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

She receives $16 when she pays for the calculator with a $100 bill

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A calculator which is marked at $120 is sold for cash at a 30% discount.

So, It was sold for 70% of its mark value assuming that to x.

(70/100)×120 = x.

x = $84.

So, Susan will receive $(100 - 84) = $16.

learn more about percentages here :

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