Answers
Answer:
Perimeter = 30 in
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = ab = 12 inc = 13 inSubstitute given values into the formula and solving for a:
⇒ a² + 12² = 13²
⇒ a² + 144 = 169
⇒ a² = 25
⇒ a = 5 in
Therefore, perimeter = a + b + c
= 5 in + 12 in + 13 in
= 30 in
Final Answer:
[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
Step by Step explanation:
Data achieved from diagram:
The given triangle is a right angle triangle
Hypotenuse of triangle = 13 in.
Base of triangle = 12 in.
To find:
Perimeter of triangle = ?
Solution:
We need length of all three sides (Altitude) of triangle,
let's find out the measure of length of Altitude using Pythagoras theorem!
[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]
Now we have all three sides of triangle,
[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]
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Related Questions
You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?
Answers
Answer:
11.7
Step-by-step explanation:
Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.
11.7 is the original price.
Brainliest please?
A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?
Answers
3,000=7.5%⋅x
100/7.5=13 1/3
3,000⋅13 1/3=x
x=$40,000
necesito saber como se resuelve esto (:
Answers
Answer:
Cómo escribir las fracciones en letras?
Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.
Step-by-step explanation:
A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>
Answers
Answer:
u got this bro come on
x28
Does 5, 7, and 9 make a right angle?
Answers
No
Step-by-step explanation:
For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.
In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.
Putting this set of numbers into the pythagorean theorem is the way to solve this.
5²+7² should equal 9² if the triangle is a right triangle.
Solve the squares: 25+49=81
This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.
Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a
Answers
Answer:
8 a minus 48
Step-by-step explanation:
you need to distribute!!
so you distribute the 8 to both the a and 6
8 times a equals 8 a
8 times 6 equals 48
and so that’s how you get 8 a minus 48 c:
Answer:
8 a minus 48
Step-by-step explanation:
(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.
Answers
Answer:
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Step-by-step explanation:
distance between points is diameter
x^2= (8--4)^2+(-7-9)^2
x^2=12^2+16^2
x^2=144+256
x^2=400
diameter x=20 so radius =10
center point =midpoint (-4+8)/2 and (-7+9)/2
center point =(2,1)
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Please help, I am struggling with this. Question is in image.
Answers
Answer:
-7 15/17. 49 sq. 7.7 187/24
Step-by-step explanation:
thats the order least to greatest 187/24= 7.79 and 49 sq = 7
i’m not sure how to do this any help would be great
Answers
Answer:
785.4cm^3
Step-by-step explanation:
(10÷2)^2*π=25π
25π*10=250π≈785.4
can you please tell me which one it is and why. thank you
Answers
Answer
its A the answer is on quizzes
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
rational numbers do not have unending numbers trailing it
ex: 1, 1/4 13/2
irrational numbers do not end
(pi, square root of 2)
“Find 24% of $240.”
I keep trying and getting a different answer each time, please help
Answers
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
X Is the 24%
So (24x240)/100
5760/100 = $57.60
Or you can just do 240x0.24=$57.60
24% is the same as 0.24
And 100% is the same as 1
Find the missing angle. Your answer will be a number only.
Answers
Answer:
Pretty sure its 60
Step-by-step explanation:
Basic geometry
Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.
answer B
Answers
Answer:
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
Step-by-step explanation:
0.046×0.3
Show your work
Answers
What is the value of the rational expression when x = 2?
Answers
Answer:
4
Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.
Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start
It needs to be written as an equation
Answers
Answer:
16.79 - 8.54= ? so the answer is 8.25
Step-by-step explanation:
~Hope this helps you~
Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 =
Answers
Answer:
37
Step-by-step explanation:
it just it
In the figure below, xZ=25 and YZ=17. Find xY.
xY=
Answers
Answer:
XY = 8
Step-by-step explanation:
XY + YZ = XZ , that is
XY + 17 = 25 ( subtract 17 from both sides )
XY = 8
Can you guys tell me what 6!/3!
Answers
[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]
Answer:
[tex]\boxed{\sf{120}}[/tex]Step-by-step explanation:
Use the factorials formula.
Factorials formula:
[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
What do we do to both sides of this equation to solve?
x−10=8
Question 2 options:
Subtract 10 from both sides
Add 10 to both sides
Multiply both sides by 10
Divide both sides by 10
Answers
Add 10 to both sides
Step-by-step explanation:
x-10 = 8
x - 10 + 10 = 8+ 10
x = 18
Step-by-step explanation:
Add 10 to both sides
or,x-10+10=8+10
or,x=18
SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile
Answers
Answer:
The answer is 33.75 per hour
Step-by-step explanation:
Divide 135 by 4
Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30
Answers
Answer:
Step-by-step explanation:
gradpoint, help me please yall :(
Answers
Answer: B
Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.
Answers
43
so sorry if this is incorrect.
The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.
more less
7th 12 14
8th 20 26
To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.
20 students out of 46 students (20+26) answered "more" which is about 43.48%
Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
Learn more about the percentages here:
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number 2022 is not a perfect square give reasons
Answers
Answer:
No
Step-by-step explanation:
It is not factorial of any number.
Each face of a cube has an area of 4 square units. What is the volume of the cube?
Answers
Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.
The given information states that each face of the cube has an area of 4 square units.
Since a cube has 6 faces, this means that the total surface area of the cube is:
Total Surface Area = 6 * 4 square units = 24 square units
Now, let's relate the surface area of the cube to its volume:
For a cube, the surface area (S) and the volume (V) are related by the formula:
S = 6s²
Where "s" is the length of each side of the cube. In this case, we have:
S = 24 square units
Substitute this into the formula:
24 = 6s²
Now, solve for "s":
s² = 24 / 6
s² = 4
Take the square root of both sides:
s = √4
s = 2
So, each side of the cube is 2 units long.
Now, to find the volume of the cube, you can use the formula for the volume of a cube:
V = s³
Substitute the value of "s":
V = 2³
V = 8 cubic units
Therefore, the volume of the cube is 8 cubic units.
To learn more on volume click :
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What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?
Answers
Answer:
x=2
Step-by-step explanation:
You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2
Answer:
x=2
Step-by-step explanation:
Distribute the 2.5 and 4 out
15x - 10 = 10 + 6 +2x
Add the constant variables together
15x - 10 = 16 +2x
Move the x on one side and the constant on the other
13x = 26
Divide both sides to find x
x=2
HElppppppppppppPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
75 in^2
Step-by-step explanation:
two rectangles on the sides: 60 in^2
5x6 = 30
30x2 = 60
rectangle in the middle: 15in^2
5x3 = 15
altogether area: 75 in^2
60+15 = 75
What number should be added to – 5 to get 3/5
Answers
Answer:
5.6
Step-by-step explanation:
3/5=0.6
so you would add 5.6 to get 0.6
2=x^2-10x solve by completing the square
Answers
[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]