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

PLEASE HELP WILL MARK BRAINLIEST

Answers

The answer is A, 1375 in squared
A) 1375 inches squared

15x75 is 1125
25x10 is 250
1125 + 250 = 1375

Lexi Chappell
Pythagorean Theorem (No Diagram)
Apr 22, 5:26:21 PM
?
One of the legs of a right triangle measures 8 cm and the other leg measures 12 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
BULLY
HOD

Answers

help me ..............

HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.

Answers

Answer:

The first option

Step-by-step explanation:

Have a nice day :)

A negative number with an absolute value less than 4.

Answers

Answer:

-3, -2, or -1

Which classifications apply to the polygon? Check all that apply.

convex
concave
regular
hexagon
octagon

Answers

It’s concave and hexagon

Answer:

B and D

Step-by-step explanation:

Caleb has 3 packs of colored pencils. Each pack has x pencils in it. After Ryan gives him 6 more
colored pencils, he has a total of 27 pencils.

Answers

Answer:

3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.

Step-by-step explanation:

Hope this helps :)

6 pencils is the answer, hope this made your day!

8 km
6 km
What is the length of the hypotenuse?
kilometers
C

Answers

Answer:

10

Step-by-step explanation:

We use pythagorean theorem:

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

[tex]\sqrt{36 + 64} = \sqrt{100} = 10[/tex]

The area of a triangle is 12 1/2 the area of a parallelogram with the same base and height.

True or false?

Answers

Answer: True

Step-by-step explanation: Hope this help :D

$55,000 at 16% compounded
semiannually for 2 years

Answers

hope Answer:

74.826.89

Step-by-step explanation:

hopefully helps

Answer: equation for compound interest A=P(1+r/n)^nt

Answer: $74,826.89

Step-by-step explanation: Fill in the numbers for the formula!

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12

Answers

Answer:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

What is the solution set of the inequality: 14- 3x < -1

Answers

Answer:

x>5 (Answer should have a positive sign.)

Step-by-step explanation:

To solve this problem, isolate x from one side of the equation.

First, subtract by 14 from both sides.

14-3x-14<-1-14

Solve.

-3x<-15

Multiply by -1 from both sides.

(-3x)(-1)>(-15)(-1)

Solve.

3x>15

Then, you divide by 3 from both sides.

3x/3>15/3

Solve.

15/3=5

x>5

In conclusion, final answer is x>5.

Find the value of 4 of 5 of 1000
25 4
with step by step explaination please thank you​

Answers

Answer:

4 of 5 = 4/5

4/5 of 1000 = 1000/5×4 = 200×4 = 8004/5 of 4 = 4/5×4 = 16/5 = (3.2)4/5 of 25 = 25/5×4 = 5×4 = 20

determine what number should be in the box so that each equation is true and each equation has at least one negative number

Answers

Answer:

Step-by-step explanation:

What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?

Answers

Answer:

6%.

Step-by-step explanation:

The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?

Answers

Answer:

The answer is a

Step by step

Multiplication

8×5 = 40

8×3 = 21

21/40

Step-by-step explanation:

Hilary made an origami dog. What is the area of the
parallelogram highlighted in the origami figure?

Answers

Answer: 9.44 cm

Step-by-step explanation:

A = b × h

A = 4 × 2.36

A = 9.44 cm

To find the area of a parallelogram, the formula to use is A = b × h.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.

Answers

Answer: 0.09

Step-by-step explanation:

;)

IM SO TIRED CAN SUM1 HELP PLS.

Answers

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

Mangi surveyed students about their favorite types of music. Find the ratio of students who chose dance to the total number of students surveyed. Favorite Music Pop 7 Country 5 Dance 4

Answers

Answer:

1 : 4

Step-by-step explanation:

Given:

Favorite Music :

Pop _____ 7

Country __ 5

Dance ___ 4

Total number of students surveyed :

(pop + country + dance). = (7 + 5 + 4) = 16

Number who chose dance = 4

Ratio of dance to total number surveyed

4 : 16 = 1 : 4

1 :4 (lowest term)

Your germination rate for lavender seeds is 34%. You planted 1200 seeds, how many sprouted?

Answers

408 seeds
1200 times 0.34 is equal to 408

Which is the opposite of -5?

Answers

Answer: 5

Step-by-step explanation: 5*-1=-5

please help!
AABC ~ AQRS
Find the missing side length, n.
5
R
12.5
n
Q
10
B
5
2
A
4
C
n = [?]

Answers

Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

  BA/RQ = AC/QS

 2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

To learn more about similar triangles, follow the link.

https://brainly.com/question/29782809

#SPJ1

Select ALL the expressions that are equivalent to (x^2)(square root of x).​

Answers

Answer:

x^(2.5) ("x to the power 5/2")

Step-by-step explanation:

(x^2)(√x) can also be written as x·x·x^(1/2).  We just add the exponents together:  (x^2)(√x) =  x^1·x^1·x^(1/2) = x^(2.5) ("x to the power 5/2").

Next time, please share the answer choices.

Find the value of x.

Answers

Answer: x =42°

The angles are equal

(09.01)

Choose the equation below whose axis of symmetry is x = 2. (1 point)

O y=x²-2

O y = x2 - 4x + 2

O y = x2 + 4x + 2

O y=x²-4

Answers

Answer:

y = x2 - 4x + 2 ; y=x²-4

Step-by-step explanation:

Axis of symmetry = - b /2a

y=x²-2

a = 1 ; b = - 2

x = - (-2) / 2(1)

x = 2/2 = 1

y = x2 - 4x + 2

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

y = x2 + 4x + 2

a = 1 ; b = 4

x = - 4 / 2(1)

x = - 4/2 = - 2

y=x²-4

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

Answer:

y = x2 - 4x + 2 ; y=x²-4

Step-by-step explanation:

Do ALL These Questions CORRECT And You Get Brainliest And 35 Points! Also ill Follow You!

Answers

The image doesn't load for me.

HELP PLS PLS I NEED TO TURN THIS IN RN​

Answers

Answer:

A

Step-by-step explanation:

At a children's archery camp, the percentage of target hits at different distances from the target for several campers were recorded.
The data is shown in the scatter plot below.
у
100).
80
60
.
Target Hits (%)
40
20
0 4
8 12 16 20
Distance from Target (ft)
Which interpretation can be made from this data?
OA.
ОВ.
There is a positive association between the distance from the target and the percentage of target hits.
There is a negative association between the distance from the target and the percentage of target hits.
There is no association between the distance from the target and the percentage of target hits.
OC.
OD. There is both a positive and a negative association between the distance from the target and the percentage of target
hits.

Answers

Answer:

its  B

Step-by-step explanation:

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