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).
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.
MARKING BRAINLIEST!!!
What is the circumference of circle P in terms of Pi?
Answer:
56.52 cm
Step-by-step explanation:
9×2×3.14=56.52
9=r (radius)
2 is part of the formula
3.14= pi
Can I please have Brainliest?
Will mark brainliest if get the correct answer.
Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
[tex]4x - 25 = 75[/tex]
[tex]4x = 100[/tex]
[tex]x = 25[/tex]
Which term describes RT?
Answer:
D. perpendicular bisesecor
Step-by-step explanation:
Can someone please help me with this question?
Answer:
AE = 9 units
Step-by-step explanation:
Based on the centroid theorem:
AX = ⅔ of AE
Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:
6 = ⅔ of AE
6 = ⅔(AE)
Multiply both sides by 3
6*3 = ⅔(AE)*3
18 = 2(AE)
Divide both sides by 2
18/2 = AE
9 = AE
AE = 9 units
Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?
Answer:
os(390) sin(330) csc(60)
Step-by-step explanation:
The triangle below has an area of 54 ft squared and a 9 ft base. What is the height of the triangle?
Answer:
height of triangle= 12
Step-by-step explanation:
A= 1/2bh
54=1/2(9)h
54= 4.5h
54/4.5= 4.5/4.5
h= 12
Write any three rational number between -3 and 0
Answer:
negative square root of 2
negative square root of 3
negative square root of 5
Step-by-step explanation:
:)
Plz help ASAP, I will mark brainlest if correct.
Answer:
[tex]5x+6y=12[/tex] I will do y and x slope-intercept form
Answer: [tex]y=-\frac{5}{6} x+2[/tex]
[tex]-3x-2y=4[/tex] I will do the same method
Answer: [tex]y=-\frac{3}{2}x-2[/tex]
Step-by-step planation:
How I got my answer I took 5x and put it on the right side and I changed the sign which looks like [tex]6y=12-5x[/tex] then I would divide the equation by 6 which looks [tex]y=2-\frac{5}{6} x[/tex] Then I use commutative property and reorder the terms
[tex]y=-\frac{5}{6}x+2[/tex] and that is the answer.
I put the -3x and on the right side and make it [tex]-2y=4+3x[/tex] then I changed both signs of the equation which is the -2y [tex]2y=-4-3x[/tex] then I divided both sides of the equation by 2 [tex]y=-2-\frac{3}{2}x[/tex] and use the commutative property and reorder the terms [tex]y=-\frac{3}{2}x-2[/tex] which is the answer.
Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
1. Which expression is equal to 815-97?
A. 815-(-97)
B. 815+97
C. 815+(-97)
D. 97-815
Answer:
the answer is C.815+(-97)
Step-by-step explanation:
A hot tub has 58 inches of water (w) when it is full. The tub
drains at a rate of 7 inches per minute (m): w = 58 – 7m
After you open the drain, how many minutes will it take for the
hot tub to have 23 inches of water remaining?
Answer:
58_7
51
then
in 23×7 minutes )
= 161 minutes.
Marty says he would rather have --$5 than $0 do you agree with Marty?
Answer:
No becasue -5 is more than positive 0
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.
Step-by-step explanation:
Lisa Has $ 7.80 to spend on some tomatoes and loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes
solve the inequality how many piunds of tomatoes can lisa buy?
what is 38% of 32.
pls help in the middle of testing
Answer:
12.16
Step-by-step explanation:
1:Reduce the fraction 100 38 to lowest terms by extracting and canceling out
2:Express 50/19 ×32 as a single fraction.
3:Multiply 19 and 32 to get 608.
4:Reduce the fraction 608/50 to lowest terms by extracting and canceling out 2.
5:304/25=(12.16).
Work out 8 divided by 2/3
Answer:
Hi! The answer to your question is 12
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Step-by-step explanation:
Given
[tex] \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12[/tex]
Hope it will help :)❤
1. 12x^2-8x
2. x^2+5x-36
3. 3x^2+10x+8
Please show how to solve these problems, thanks.
Answer:
1. 12x^2-8x
taking common 4x
4x(x-2)
2. x^2+5x-36
doing middle term factorization
x²+9x-4x-36
x(x+9)-4(x+9)
(x+9)(x-4)
3. 3x^2+10x+8
Doing middle term factorization
3x²+6x+4x+8
3x(x+2)+4(x+2)
(x+2)(3x+4)
PLEASE HELP PLEASE ASAP
Answer:
0, 7, -10
Step-by-step explanation:
0, -7, 7, -10, -9, -10, 7, 0, 4
Two 0
one -7
Two 7
Two -10
one 4
0, 7, and -10 are the only ones to appear the most
What is the measure of \angle A in the triangle above?
Answer:
m<A = 62
Step-by-step explanation:
180 - 116 = 64
3x - 13 + 2x + 4 + 64 = 180
5x + 55 = 180
5x = 125
x = 25
<A:
3x - 13
3(25) - 13
75 - 13
62
Find the area of trapezoids
Answer:
Area is 10.5
Step-by-step explanation:
We can use the trapezoid formula of
[tex]A = \frac{a+b}{2}h[/tex]
A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5
or break it into a rectangle and a triangle (natural split by y axis).
A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5
Answer:
10.5 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²
What is the area of this? please help me ! screen shot of assignment attached
Answer:
12
Step-by-step explanation:
(2 + 2 + 2 + 6) × 2 ÷ 2 = 12
Write the number 4.9 x 10^-5 in standard form
Which statement is correct
Answer:
I think its a
Step-by-step explanation:
because 1/5 as a decimal is 0.2 and 0.3 is great then 0.2
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.
Suppose that radius of the considered sphere is of 'r' units.
Then, its surface area S would be:
[tex]S = 4\pi r^2 \: \rm unit^2[/tex]
We are given that;
P is the center, angle LPJ=130degree
Now,
To find the approximate values, we can use 3.14 for π and round to the nearest tenth:
Area of shaded sector = (13π/36) × P^2
≈ (13 × 3.14/36) × P^2
≈ 1.13 × P^2
Area of unshaded sector = (23π/36) × P^2
≈ (23 × 3.14/36) × P^2
≈ 1.99 × P^2
Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.
Learn more about surface area here:
https://brainly.com/question/15096475
#SPJ2
sara compares to phone plans. plan A charges $99 for the phone plus $25 per month. plan B charges $39 for a phone and a $35 per month. at what month will the plans cost the same?
Answer: 6th month
Step-by-step explanation:
Let the month where the plans cost the same be represented by x.
Plan A charges $99 for the phone plus $25 per month. This can be written as:
= 99 + 25x
Plan B charges $39 for a phone and a $35 per month. This can be written as:
= 39 + 35x
We then equate both equations and this will be:
99 + 25x = 39 + 35x
Collect like terms
99 - 39 = 35x - 25x
60 = 10x
x = 60/10
x = 6
The plan will cost the same in the 6th month.
i dont get this at all pls help
Answer:
its B i think
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
Volume :-
= 1/3 × 3.14 × 9 × 4
= 37.68 m^3
l = √9 + 16
= √25
= 5 cm
Surface Area
= 3.14 × 3 × 5
= 47.1 cm^2
Hope this helps you
Please mark as brainiest
Answer:
33.49
Step-by-step explanation:
the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49
When 6 is added to the difference between 4 times a number and 7, the result is greater than 14 added to 3 times the number. Find all such numbers.
Answer: x > 15
Step-by-step explanation:
Let the number be represented by x. Based on the information given, we can form an equation as:
(4x - 7) + 6 > 3x + 14
4x - 7 + 6 > 3x + 14
4x - 3x > 7 - 6 + 14
x > 15
Therefore, x include numbers such as 16, ....
Work out each of the following:
1) −5 − +23=
2) −16 + −15=
3) 40 − −40=
4) −18 − −27=
5) −52 + 90=
HELPPP PLEEEAAAASSSSEEEE!!!! :(
I need those answers before 09:30 pleeeaaaaassssseeee