In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

Answers

Answer 1

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²


Related Questions

1. Which other expression has the same value as -14 - (-8)?​

Answers

-14 + 8 is same as -14 - (-8)

Hope this helps, thank you :) !!
If you give me the answer options, I can help

plz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need helpplz help i need help

Answers

Answer:

the answer should be 9

Step-by-step explanation:

[tex](256 * 3^{-5} * 6^{0} )^{-2} * (\frac{3^{-2}}{2^{3}} )^{4} * 2^{28}[/tex]

[tex](256*\frac{1}{3^{5}} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](256*\frac{1}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{256}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{256}{243})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{243}{256})^{2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{2^{3}*3^{2}})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{8*9})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{72})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*\frac{1}{26873856}*2^{28}[/tex]

[tex]\frac{9}{65536}*\frac{1}{4096}*2^{28}[/tex]

[tex]\frac{9}{65536*4096}*2^{28}[/tex]

[tex]\frac{9}{268435456}*268435456[/tex]

[tex]9[/tex]

Answer:

the answer should be 9

Step-by-step explanation:

please mark me brainliest thanks so much i really appreciate it!

hope you have an amazing rest of your day and thanks for your time!

brainliest??????????????????????????????

Answers

Step-by-step explanation:

Given

f(x) = 3x² + 9

g(x) = 5x

(fog)x = f ( 5x)

= 3 ( 5x) ² + 9

= 3 * 25x² + 9

= 75x² + 9

Hope it will help :)

6. What is the measure of angle 7? (answer with the number only; not the
degree sign) *

Answers

Answer:

65

Step-by-step explanation:

because 5 and 7 are the same angle that means the opposite of the 65 has to also be 65

The base of a prism has a perimeter of 12 centimeters and a height of 2 centimeters. The area of its base is 5 square centimeters. What is the surface area of the prism?

Answers

Answer:so multiply 12*2=24 and 24*5=120 Is your answer .

Step-by-step explanation:

I need help bad!!!!!!! Question: Angle ABC and angle DEF are supplementary. If

Answers

Answer:

Angle ABC and angle DEF are supplementary if and only if they add up to 180 degrees

29 mm

120 mm
D
What is the perimeter?
millimeters

Answers

Pythagoras theorem : a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841


841 - 400 = 441

Square root 441 = 21


PERIMETER :

21+29+20 = 70

The answer is 70

Denise has 6 hours to spend for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3 mph, how long should she plan to spend walking back?

Answers

To solve this problem,you need to use the formula.
d = rd (distance = rates x time)
She runs at a speed of 7 mph and walks at a speed of 3 mph.
Her distance running is d = 7tr where tr is the time she spends running Her distance walking isd = 3twwhere tw is the time she spends walking The distances are the same so7tr = 3tw We also know that the total time is 4 hourstr + tw = 4tr = 4-tw Substitute this value of tr in the first equation7tr = 3tw7(4-tw) = 3tw28-7tw = 3tw28 = 10tw2.8 = tw Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running)i hope this helps:)

Answer:

She walks back for 4.2 hours

Step-by-step explanation:

Notice that we don't know the distance of the race (so let's name it "d").

She clearly would spend less time running (t1) the distance d at 7 mph, than when coming back walking (t2) at 3 mph.

But we know that the addition of both times must be 6 hours which is what she has to spend:

t1 + t2 = 6

Considering the equation that relates distance (D), time(t) , and speed (v) as:

v = D/t

we can solve for the times t1 and t2 in each trip (running vs walking){

t1 = d/7

t2 = d/3

then when we add these two equations term by term, we get:

t1 + t2 = d/7 + d/3

extract d common factor;

t1 + t2 = d (1/7 + 1/3)

replace t1 + t2 with the 6 hours:

6 = d (10/21)

multiply both sides by 21, and divide both sides by 10 to isolate d:

21 * 6 / 10 = d

d = 12.6 miles

Now knowing the distance she run and walked, we can find the time she spent walking back (t2)

t2 = 12.6 /3 = 4.2 hours

Function g can be thought of as a translated (shifted) version of f(x)=|x|.

What is the equation for g(x)?​

Answers

Answer:

Step-by-step explanation:

g(x) = |x+4| +6 ( to go 4 to the left and 6 up)

Question 5
How much food can this container hold? Express your
answer in terms of pi.

Answers

Deez yyyyyyayyyyyyyyyyyy

Chloe has $15 to spend on pencils. Each box of pencils costs $2. How many
boxes of pencils can Chloe have buy? How much money will she have left
after she buys the pencils?

Answers

Chloe can buy 7 pencil boxes and have 1 dollar left

What is the value of x? Justify each step. Given: AB bisects RAN. each angle BAN = (2x-75)​

Answers

Answer:

The answer is portrayed in the picture below.

All copyright claims will proceed to Brainly Corporation.

Solve 1/6 + 3/4
help pls

Answers

Answer:

11/12

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

2/12 + 9/12 = 11/12

PLEASE HURRYY!!

2. Triangle ABC has angle measures as shown.

(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Answers

Answer:

x = 70

c = 72

Step-by-step explanation:

helppppppppppp me please yes please yes lol yes plea

Answers

Answer:

C. 16

Step-by-step explanation:

A number squared means you need to multiply it by itself

So, 4 x 4 = 16

Answer:

c. 16

Step-by-step explanation:

multiply 4 two times because it's squared

4 x 4 = 16

What rule can you come up with if you have to multiply to get a positive number and add to get a negative number?

Answers

Answer:

Two signs

When adding positive numbers, count to the right.

When adding negative numbers, count to the left.

When subtracting positive numbers, count to the left.

When subtracting negative numbers, count to the right.

Step-by-step explanation:

Clare has 80 pencils and 56 erasers to give away. What is the largest number of group that can formed with the same numbers of pencils and erasers in each group?

Answers

Answer:

56

Step-by-step explanation:

I assume each person in the group must have 1 pencil AND 1 eraser each.

Since you have more pencils than erasers, then the limiting factor is the number of erasers. So a group of 56 people will have 1 pencil And 1 eraser and Clare will have 24 pencils left over (assuming Clare has her own pencil and eraser - if not then the group size is 55 assuming Clare is not in the group)

sorry if it's too confusing

what is the sum of 4 and 5

Answers

answer: 9
explanation: 4 + 5 = 9

Answer:

The answer is 9 because 4+5=9

Step-by-step explanation:

What is 2/5 divided 1/6

Answers

The answer should be 2.4

Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answers

Answer:

The unit price per ounce of flour is

Step-by-step explanation:

We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48

Which is .144791666...

A basketball player is 80 inches tall. A model of a basketball player is 5 inches tall. What is the scale factor?

Answers

Answer:

1/16

Step-by-step explanation:

divide 5 into 80 to get 16 which 5 is 1/16th of 80

A coordinate plane.Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.Let x be the smaller number and y be the larger number.Create a system and graph it to find the solution.What are the two numbers?x =and y =

Answers

Answer:

6 and 20

Step-by-step explanation:

Use the Pythagorean theorem to find the missing side of the triangle!!

Answers

The answer is 16 ft! Hope my work helped.

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

A right triangle is shown. The lengths of the 2 sides are 10 feet and 3 feet. The angle opposite to side with length 3 feet is x.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°
17.5°
72.5°
73.3°

Answers

Answer:

Step-by-step explanation:

Hence option B is correct.

What is trigonometric function ?

a function of an arc or angle defined in terms of the ratios of pairs of sides of a right-angled triangle (such as sine, cosine, tangent, cotangent, secant, or cosecant).

How to solve?

In the figure it can be seen the perpendicular value =10 feet

and ,the base=3 feet,

tan(x)=10/3

tan(x)=3.33

x=73.3

learn more about solving trigonometric functions-https://brainly.com/question/64787

#SPJ2

A person on top of a lookout tower spots a fire 100meter away. The height of the tower is 60 meters. Find the angle of elevation from the fire to the person.

Answers

Answer:

30.96° to the nearest hundredth

Step-by-step explanation:

Let x = angle of elevation

tan x = 60/100 = .6

x = arctan .6

x ≅ 30.96°

Do as many as you want.
Thanks.

Answers

Answer:

1. 11

2. 7.46

3. d = 28

4. I'm afraid I don't know how to solve this kind of problem.

5. -5

Step-by-step explanation:

1. 2 - (-3) + 6 = 5 + 6 = 11

2. 7.46 (5 and up round up)

3. d = 21 + 7

   d = 28

5. -55 / 11 = -5

Hope that helps!

1. x - y + 6 = 2 - (-3) + 6 = 5 + 6 = 11

2. 7.46

3. d - 21 = 7

   d = 28

4. 4/1

5. -5

Which does not describe slope? I will mark Brainly plz help fast

Answers

Answer:

Initial value

Step-by-step explanation:

Initial value never changes, whatsoever.

Slope is either a constant increase or decrease.

Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.

Answer:

Initial value

Step-by-step explanation:

The initial value is the y-intercept.

12 divided by 8587 step by step.

Answers

Answer:

0.00139746127868

Step-by-step explanation:

just use a coculator

why don’t you know how to divide lol

SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?

Answers

Answer:

where's the line? Can't answer it without it.

Jamal pays $29.25 for 3 pounds of cocoa powder. Assume that the cost y, in dollars, is proportional to the amount of cocoa powder x, in pounds. find the slope

Answers

Answer:

Step-by-step :

Your answer

Your answer

9.75

Mark it as Brainlist answer. Follow me.

Mark it as Brainlist answer. Follow me.

Other Questions
In what year did Canada import more coal than it exported? A1983B1980C1981D1982 cam someone help me find a claim from the Wealthy teen nearly Experiences Consequence please Alexa's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 100 teas in all, 50 of which were caffeinated. What percentage of the teas were caffeinated? Each day that Kevin rides the train to work, he pays $2.50 each way. If Kevin takes the train to work and back 3 times, which amount represents the change in his money? Although I am in the middle of the 5 stages, I am just as importantas the first and the last. As soon as you see a leaf sprout, you aresure to be in my stage. Who am I?This is annoying I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe HELP ME NOW ASAPPP UnU Yurrrrrr............. a - (9b - 13b) =a = 12, b = -2I'm- sorry What does the theory of evolution contribute to conservation biology?A) It helps scientists understand how populations and species are related, and this knowledge can be used to help these populations and species survive.B) It helps scientists understand how populations and species are related, and this knowledge can be used to capture and breed the fittest organisms in these populations and species.C) It helps scientists understand how populations and species react to changes in their environment, and this knowledge can be used to help these populations and species survive.D) It helps scientists understand how populations and species react to changes in their environment, and this knowledge can be used to capture and breed the fittest organisms in these populations and species. HURRYYYYYWhen substituting 2x - 4 for y in thesecond equation, what will the newequation look like?y = mx + by = 2x - 4y = -3x + 12x - 4 = -3x + 1 paige was planning to watch marathon episodes of her favorite show. the show had 48 episodes with each episode lasting exactly 22 minutes. if she planned to spend 4 days watching the show how many minutes should she watch each day? (I NEED IT ASAPPP)Which is NOT a reason President James K.Polk was known as the "Manifest DestinyPresident"?A. Achieved the goal of growing from ocean to ocean B. Acquired the territories of california and new MexicoC. secured the Oregon territory for the U.SD. vetoed a bill that would have supported the national bank The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"8"6' long wireway the conductors can occupy. In squared? [tex]-9.1\ \textless \ d-6.3[/tex]Solution needed Frank is going to plant x vegetable seeds in one garden and 4x+7 vegetable seeds in another. How many seeds is going to plant? Help please, due very soon Write 383 in expanded form Thomas knows that many machines transform electrical energy into other forms of energy Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular tothe line represented by - 7x + 2y = 14?