The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the measure of the other acute angle. What is the area of the triangle? Round your answer to the nearest square inch. (Note: The area of a triangle is 1/2bh, where the base and the height of the triangle are perpendicular).

Answers

Answer 1

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.


Related Questions

write a linear equation using y=mx+b

Answers

Jsjsnsnendndndnndjxjxjcjcjcjjcjxjx

Tiara attended 12 piano classes in four weeks. If she attended the same number of classes each week, which equation can be used to find the number of classes she attended every week?
A.4 + c = 12
B.4c = 12
C.12c = 4
D.12 - c = 4

Answers

Answer:

C

Step-by-step explanation:

Because i'm smart and did the math.

is the value of
is 14?

Answers

Answer: So in the number 14, there is one ten and four ones—10 + 4 = 14. If we change that 1 to a 2, we get 24, or twenty-four. The number 2 in the tens place tells us there are two tens. Each place value is 10 times larger than the place value to the right of it.

Step-by-step explanation:

Emma bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Wh
expression shows what Emma paid?

Answers

Answer:

4(3)+0.95=X

Step-by-step explanation:

Answer:

A sixth-grade student bought three cans of tennis balls for $4 each.

The sales tax for each can was $0.95.

To Find :

The total amount the student spent.

Solution :

Price of each can including taxes :

p = $( 4 + 0.95 )

p = $4.95

So, price of 3 such cans including tax is :

P = p×3

P = $( 4.95×3 )

P = $14.85

Therefore, total amount spend by the student is $14.85 .

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST ACTUALLY PLEASE HELP

Answers

Answer:

$60

Step-by-step explanation:

What’s the formula to find the area of a right triangle? (pythagorean theorem)

Answers

Answer:

multiply the hight and length then divide it by 2

Step-by-step explanation:

additive inverse of 8/-13 pls help fast​

Answers

Answer:

8/13

hope this answer helps you.....

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?

Answers

Answer:

for the 1st year she earned 160 so for 3 years she will earn $480

PLS HELP I WILL MARK THE BRAINLIEST.

Answers

Answer:  HELP ASA! I NEED HELP ON MY TWO LAST QUESTIONS

Step-by-step explanation:

According to the line of best fit, if a batter struck out about 80 times, about how many hours did the batter practice?

Answers

Answer:

The batter practice for 4 hours

Step-by-step explanation:

Here, we want to use the line of best fit for an estimation

What we will do here is to identify the point 80 strikecuts on the y-axis

After getting this, we trace this right wards toward the line of best fit

Upon getting this, we trace down to the x-axis to get the number of hours indicative of the strikecuts

By doing this, we can see that the number of hours is simply 4 hours

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  B.  rectangle, not a square

Step-by-step explanation:

When you plot the points, you see the lines between them have a rise/run of 3/2 or -2/3. The product of these numbers is -1, so the sides of the figure are perpendicular (not a rhombus, not a trapezoid). The figure is not square, so is ...

  rectangle that is not a square

What is 2 2/13 divided by 2/3

Answers

Answer:

3.23

Step-by-step explanation:

Answer:

the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer

Can some please help me on question 2 I am just confused.

Answers

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:


A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?

Answers

Answer:

1072

Step-by-step explanation:

If z=2
3 (x-12) and x=39, then what is z?

Answers

Answer:

621

Step-by-step explanation:

23(39-12) > 23(27)

23(27)= 621

100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.

Answers

Answer:

1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)

f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85

3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)

x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0

x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2

Step-by-step explanation:

what is the product
4/6 x 9

13/16

36/54

3

6​

Answers

the answer is 6! have a good day

A .Write an equation for the trend line in slope -intercept form .

Answers

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Which is equivalent to x2 - 4x = 12 by completing the square

Answers

Answer:

x = 6 , − 2

Step-by-step explanation:

Someone pls help:( im new tysm if u doo!

Answers

75.5 all you do is add them
59 + 16.5= 75.5! I’m new too let me know if you need anymore help you can always message me! (I’m in seventh grade and I really like to help people!, it’s really entertaining for some reason)

Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

3 h(x) = 4 sin(2x + π) + 3

Step-by-step explanation:

The function h(x) has a greater y-intercept

How to compare the functions?

The functions are given as:

f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3

Set x to 0,to calculate the y-intercepts

f(0) = -3(0) + 2 = 2

h(0) = 4 sin(2(0) + π) + 3 = 3

From the above computation, we have:

f(0) = 2

h(0)= 3

By comparison, we have:

h(0) > f(0)

This means that the function h(x) has a greater y-intercept

Read more about y-intercepts at:

https://brainly.com/question/1884491

find the area please​

Answers

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

I need help I'm struggling :(

Answers

Ohh !! I’ll help you. I think your suppose to find the area of the rectangle prism? I suppose?
To find the rectangular prism, you’ll have to use this formula : LWH
L= length
W=width
H=height
Multiply those together and you will get your answer.

V=LWH
V=6*6*10
V=36*10
V=360 square 2 is your answer! ( remember to put units )

- have a great day :)

Anyone help me solve for y.

Answers

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2x + ( - 2) , that is

y = 2x - 2 ← substitute x = - 1

y = 2(- 1) - 2 = - 2 - 2 = - 4

This is confirmed by the point (- 1, - 4 ) on the graph

X = -1
So if you Plug that in to your problem it is shown as y=2(-1)+-2.
2•-1 is -2 and when added to -2 you answer is -4.
Y=-4

Please help! Check to see if I have all of them correct! Will mark brainlist

Answers

I am pretty sure they are all right

A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys

Answers

Answer:

32

Step-by-step explanation:

64 because the first year you’ll have 8 monkeys which doubles for the second year where you’ll have 16 monkeys. in the third year they will be 32 and it doubles in the last year making the total 64

A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?

Answers

Five cent per a ounce

Answer:

$0.05

Step-by-step explanation:

All you have to do us divide the cost by the amount of ounces

3.45 ÷ 64 is about 0.05

The full answer is 0.05390625

Since we are talking about money, it should be $0.05

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and  the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

Solve for x

2(x+5)-7=3(x-2)

Answers

x=9

I'm sorry if I'm wrong

Answer:

x=9

Step-by-step explanation:

2(x+5)-7=3(x-2)

distribute the 2 and 3 which gives you

2x+10-7=3x-6

combine like terms

2x+3=3x-6

move the 2x to the other side by subtracting which gives you

3=x-6

add 6 to the other side which gives you

9=x

Other Questions
Is it good when a company issues more shares? The percent composition of a given element in a compound is the number of _______ in one mole of that compound. Siti bought the bag at a dicount 7%. The original price of a bag wa $50. How much did iti pay for the bag American (A) and The production planner for Fine Coffees, Inc. produces two coffee blends British (B). Two of his resources are constrained Columbia beans, of which he can get at most 300 pounds (4.800 ounces) per week; and Dominican beans, of which he can get at most 200 pounds (3.200 ounces) per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound (16 ounce/pound) What is the objective function?A Maximize Z = $1A + $28 B Maximize Z = $12A + $8B C Maximize Z = $2A + $1B D. Maximize Z = $8A + $12B E. Maximize Z = $4A + $8B What is the Columbia bean constraint? A 1A +2B 4.800 B 12A 88 s 4,800 C 2A 18 s 4,800 D. 8A 128 s 4,800 E 4A +88S 4,800 Which of the following is not a feasible production combination? A 0A and 0 B B 0 A and 400 B C 200 A and 300 B D. 400 A and 0 B E 400 A and 400 B What are optimal weekly profits? A $O B. $400 C. $700 D $800 E $900 For the optimal production combination, how much of each resource is slack? A. Colombian beans: 0 pounds, Dominican beans: 0 pounds B. Colombian beans: 0 pounds; Dominican beans: 100 pounds C. Colombian beans 100 pounds; Dominican beans: 0 pounds D. Colombian beans: 100 pounds; Dominican beans: 100 pounds E. Colombian beans: 30 pounds, Dominican beans: 50 pounds What forces is used when sliding down a slide? When wood burns, a small amount of ashes is produced and gas is given off. How does this reaction demonstrate the law of conservation of mass?. Can you remain silent when testifying? What is the first step when adding and subtracting rational expressions? Which Scrum team members meet and collaborate with each other to find the best way to build and deliver the software to the customer? You wish to chill your freshly brewed tea with the minimum amount of ice that will avoid watering it down too much. What is the minimum amount of ice you should add to2.70 kgof freshly brewed tea at91.98Cto cool it to6.19C? The ice is initially at a temperature of -51C. Heat capacity of water a 4190 Jikgik The specifio heat of ice=2010 J/kg/KLatent heat coeficient of fusion for ice=3.34105 J/kg Why does a solution have a depressed freezing point and an elevated boiling point compared with the pure solvent? Suppose you are working as a lead project manager in a software house "Alpha Solutions". For a new project, you need to decide which process model will be the most appropriate.Project gameBuddy is an Android application, a stable screen recorder/game recorder/video saver for Android, also a powerful all-in-one video editor and photo editor that lets you record game while playing, with one touch. Capture screen and edit video with filters, effects, music. You can draw on screen while recording, easily record phone screen with internal/external voice.The best thing about this project is that customer is quite knowledgeable, and we have similar products in the market as well but the project timeline is a bit tight. The customer has expressed his interest in evaluating solution modules to ensure business requirements and quality standards are being met. Documentation is not compulsory, but if developed, will definitely increase the quality of the product. Your team has just completed the previous project very skillfully and efficiently. karla enjoys snooping, especially through her neighbor's trash. she sneaks out and takes the neighbor's trash after they have gone to work, but before the trash collector comes. she goes through it to find confidential information regarding the neighbors but never tells anyone else or uses the information for any purpose. can karla become the legal owner of this property; and, why or why not? also discuss whether you believe it is ethical for karla to go through the neighbor's trash, and why or why not. Determine the Domain and Range Can solar and wind work together? What was Thomas Jefferson's point of view? What does the windmill represent to the humans in Animal Farm? a person goes to store to buy clothes. the probability of the events are independent. the probability of buying a hat is 0.25. the probability of buying a pair of gloves is 0.72. what is the probability of both events occurring? why can swabbing items such as keyboards, computer mice, pens, and phones provide an accurate representation of microbes living in association with humans? a. the items such as keyboards, pens, phones, and others provide a great growth resource for microbes. b. microbes that naturally live on these surfaces survive better due to oils released from human skin. c. certain microbes live on the surface of the skin, and humans shed their skin cells fairly frequently. d. microbes that naturally live on these surfaces survive better due to sugars found on human skin. e. the items such as keyboards, pens, phones, and others provide a sterile growth resource for microbes, improving the accuracy of the swabs. need help on these questions. Help anyone, please!