In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.

Answers

Answer 1

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.


Related Questions

which answer is correct

Answers

Answer:

From top to bottom: 1,3,4

Pleaseeeeeeeeeeeeee !!

Answers

Answer:

90

Step-by-step explanation:

all angels equal 180 so add the two you have then subtract 180 with the answer you got

if we added a 4th person to the race, what is the probability of the 4th person winning the race?

Answers

Answer:

1/4 chances

Step-by-step explanation:

its like rolling a dice. Six sides, Six different numbers, one will be picked

Make y the subject in 5x + y =12​

Answers

Answer: M= -5

Step-by-step explanation: -5x+12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

y = 12 - 5x

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Which of the following segments is a radius of A?

А. ТА
B.TR
C. GP
D. RP

Answers

Answer:

Step-by-step explanation:

Answer A is correct.  Remember that a radius stems from the center and ends on the rim of the circle, as shown here.

(a) TA

hope this helps :))

Giving brainlist to whoever answers

Answers

Answer:

45 i believe

Step-by-step explanation:

You use its sides to plug into the formula of base area of a rectangular prism = Area =length x width. Your final answer would be 45 (9x5).

I need help on this and if you the first person to answer this correctly then I would mark you BRANILIST​

Answers

Answer:

C

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← a, b are integers

A

[tex]\sqrt{81}[/tex] = 9 = [tex]\frac{9}{1}[/tex] ← rational

B

9.5 = 9 [tex]\frac{1}{2}[/tex] = [tex]\frac{19}{2}[/tex] ← rational

C

π is irrational then 5π is irrational

D

[tex]\sqrt{3^2}[/tex] = [tex]\sqrt{9}[/tex] = 3 = [tex]\frac{3}{1}[/tex] ← rational

Answer:

c

Step-by-step explanation:

A rational number can be expressed in the form

← a, b are integers

Julius is going to have a meal with an appetizer and an entrée.
There are 3 choices for the appetizer and 4 choices for the entrée.
How many different meals does he have to choose from?

Answers

I think he have choose 10

Answer iiiiiisssss 7

PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest

Answers

Answer:

∠P = 21

Step-by-step explanation:

angle P is an inscribed angle and arc RQ is the arc it intercepts

The measure of an inscribed angle is equal to half the measure of the arc it intercepts.

Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )

So if arc RQ = 42°

Then ∠P = 42/2

42 / 2 = 21

Hence, ∠P = 21°

PLEASE HELP ME THANK YOU!!!

A cylinder has a height of 10 ft and a volume of 25,456 ft³.

The radius of the cylinder is approximately ___ feet.

Round your answer to the nearest whole number.

Answers

Answer:

The radius of the cylinder is approximately 28 feet.

Step-by-step explanation:

Volume of a cylinder = πr^2 h

⇝ 25,456 = π r^2 10

⇝r^2 = 25456 *7 / 22*10

⇝r^2 = 178192/220

⇝r = √809.9636

⇝r = 28.45 ft

Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?

Answers

She got 80 percent of the questions right

PLEASE HELP ASAP WILL MARK BRAINLIEST

Answers

the answer is C good luck on ur test

Answer: ima answer so u can give him brainliest

Step-by-step explanation:

first come first served brainiest *easy*

Answers

Answer:

15

Step-by-step explanation:

Answer:

7. Obtuse and 148 degrees

8. Acutes and 20

Step-by-step explanation:

Select all the statements that describe the expression 5+2x.

The expression represents the sum of 5 and 2x.
The expression represents the sum of 5 and 2x.

The expression represents 5 plus x plus x.
The expression represents 5 plus x plus x.

The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 plus x.
The expression represents the product of 5 and 2x.
The expression represents the product of 5 and 2x.
The expression represents 5 plus x times x.

Answers

Answer:

The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.

which of the following is equivalent to this expression? 6*6^2*6^2

a) 6^6
b) 6^3
c) 6^4
d) 6^5

Answers

Answer :


Choice D ) 6^5

Explanation :

They both equal to 7776

Karen took out a loan for $725 with a 2.5% interest rate that is compounded annually. No additional money will be deposited or withdrawn from the account. How much in interest will Karen pay back at the end of 18 months?

Answers

Answer:

$29

Step-by-step explanation:

You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100

PLS HELP, WILL GIVE BRAINLIEST AND POINTSSSSSS
i'm rlly confused on this, I think maybe it's .D???
Pls someone answer and explain!!!
and no links, please and thankyou

Answers

Answer:

i think your right - it might me d cause woudn't the gravity and the surface cancel out and the force would make it move because there is no opposite force i donkt know tho

9)
Find the slope of a line perpendicular to y = 3x + 7.
A)
-3
B)
NE
3
D) 3

Answers

Answer: B because it's the absolute opposite of 3x. This means that 3/1 flipped over is 1/3 and the opposite of a positive is a negative.

u just gotta find the area​

Answers

Answer:

28

Step-by-step explanation:

HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
Plus brainliest and ( Ik Itz NOT math but plzz)

Answers

Answer:

List One: Sweet -  List Two: suite

List One: pray - List Two: prey

List One: poll - List Two: pole

List One: waste - List Two: waist

List One: Manor - List Two: manner

List One: Pier - List Two: Peer

List One: current - List Two: currant

List One: presence - List Two: presents

List One: council - List Two: counsel

List One: stationary - List Two: stationery

Step-by-step explanation:

Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)

Answers

25 dollars per hour should be the correct answer

A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?

Answers

Answer:

Right, I am an idiot so i might be wrong

Step-by-step explanation:

Every triangle has three angles which sum to 180 degrees.

There are three types of triangles based on the measures of its angles.

Right Triangle - Has one 90 degree angle

Acute Triangle - All angles less than 90 degrees

Obtuse Triangle - One angle greater than 90 degrees

In this example we are given 2 angles and must find the measure of the 3rd.

a + 56 + 34 = 180

a + 90 = 180

a = 90

Therefore, it is a Right Triangle.

The temperature on Tuesday was −5 ∘C. The temperature on Wednesday was 5 ∘C
Write an inequality that correctly compares the temperatures. Which one of the following descriptions is correct?

Answers

the temp. was higher on wednesday. was higher by 10

Answer:

The temperature was higher on Wednesday than on Tuesday.

Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)

Answers

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer: 12

Step-by-step explanation: you welcome


Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?

Answers

Answer:

152 US quarts

Step-by-step explanation:

4 x 38 = 152

quarts = 4 of something

Answer:

152

Step-by-step explanation:

38 x 4 = 152

can someone help me find the value of A, B, and C

Answers

A= 72 1/2 the arc when connected to the edge of the circle
B= 24 1/2 the arc when connected to the edge of the circle
C= 84 72+24=96 180-96= 84 and vertical angles are congruent

A jar contains 5 blue marbles, 1 yellow marble, and 4 green marbles. What is the probability of randomly choosing a yellow marble, replacing it , and then choosing a yellow marble again

Answers

Answer:

1/100

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

the probability = (number of yellow marbles / total number of marbles) x (number of yellow marbles / total number of marbles)

total number of marbles = 1 + 5 + 4 = 10

(1/10) x (1 / 10) = 1 /100

A video recorder has. a cash price of a $2500.
find hire purchase price if it may also be bought
for a deposit of 10% and 24 montly payments
of $95?

Answers

Answer:

$2530

Step-by-step explanation:

hire purchase = dp+Ap

250+(24*95)

=$2,530

calculate the Area of the shaded region. someone please help!

Answers

Answer: 12pi

Step-by-step explanation:  12pi is the answer      orrrrrr      37.68 if pi is 3.14

Find the vector equation of the line

y=6x−4
.
Correct answer selected

r(t)=(6+26t,32+156t)

r(t)=(6−26t,32+156t)

r(t)=(32+26t,6+156t)

r(t)=(6+156t,6+26t)

Answers

I hope someone seriously helps him :(

Step-by-step explanation:

sorry I couldn't help ya

Other Questions
Question on picture!!!!!!!! PLZZZZZZZZ HELPPPPP MEEEEEEEEEEEEEEEEE What is the product of 2r2 - 5 and 3r pls help with this !!!!!!! 3.) 7:14. Find the value ofr Players on a basketball team compared the total number of points they scored in a game. The results are shown on the circlegraph.If there were 88 points scored overall, how many more points were scored by Dakota than by Rudy?A)16B)24C)28D)32 At the age of 13, what does Juliet think of marriage. How were the barriers to critical thinking presented? A ceasefire shall be observed throughout South Vietnam as of 2400 hours G.M.T. [Greenwich Mean Time], on January 27, 1973. At the same hour, the United States will stop all its military activities against the territory of the Democratic Republic of Vietnam by ground, air, and naval forces, wherever they may be based, and end the mining of the territorial waters, ports, harbors, and waterways of the Democratic Republic of Vietnam. The United States will remove, permanently deactivate, or destroy all the mines in the territorial waters, ports, harbors, and waterways of North Vietnam as soon as this Agreement goes into effect. The complete cessation of hostilities mentioned in this Article shall be durable and without limit of time.Paris Peace AccordsWhat did the US agree to do in the ceasefire? Check all that apply.stop all military activities immediatelyend ground, water, and naval forcesobserve the ceasefire throughout the USwait and resume fighting at a later timeremove and destroy mines In ASTU, SU is extended through point U to point V, mZSTU = (3x + 14),m_UST = (2x + 12), and mZTUV = (7x + 6). What is the value of x? In the above figure, mA = 22 and mB = (2x + 16). If angles A and B are complementary angles, what are the value of x and the measure of angle B? A. x = 26, mB = 68 B. x = 71, mB = 158 C. x = 48, mB = 68 D. x = 26, mB = 52 describe your plan for finding out how a drought will effect a forest ecosystem. PLEASE HELP THIS HAS TO BE ANSWER FAST!!!!!! convert 2.5 tons into pounds Do you have a friend who is like family? Who is it? Describe why they are like family to you. Pls helpp!!!Jazz became very popular during the Harlem Renaissance.True or False? 8. What is the mass of 4.50 x 1022 Cu atoms? The following information is available for a company's utility cost for operating its machines over the last four months. Month Machine hours Utility cost January 940 $ 5,490 February 1,840 $ 6,980 March 2,480 $ 8,100 April 640 $ 3,900 Using the high-low method, the estimated variable cost per machine hour for utilities is: Who can be helped by building meaningful relationships with people of otherraces?A. African AmericansB. Latino AmericansC. White AmericansD. All of the above What is the volume of the rectangular prismV = length * width * heightGeometry What is the volume of a cylinder of a radius if 12cm and height 8cm