the perimeter of a right triangle is 24 ft, and one of its legs measures 6 ft. Find the length of the other leg and the hypotenuse.
a) 6 ft, 12ft
b) 5 ft, 13 ft
c) 8 ft, 10 ft
d) 7 ft, 11 ft
Answers
Answer:
Step-by-step explanation:
We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).
By pythagoras we know that
[tex]h^2= a^2+b^2.[/tex]
and the perimeter is [tex]P=h+a+b[/tex].
Since P=24 and a=6 we have these equations:
[tex]h^2=36+b^2\\24=h+6+b[/tex]
From the last equation we have [tex]h=18-b[/tex]. Replace h in the first equation we get that
[tex](18-b)^2=36+b^2[/tex]
[tex]18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8[/tex]
and h=18-8=10
Related Questions
Evaluate 8/9 power of 2 as a fraction in simplest form
Answers
Answer:
64/81 or, 0.790123456 repeating
Step-by-step explanation:
use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.
simplify ........ (256y²⁵⁶) ⅛
help asap!!!!!
Answers
Answer:
2y^32
Step-by-step explanation:
Since 2^8 = 256, the eighth root of 256 is 2.
Next, we find the power of y by multiplying 256 and 1/8: result is 32.
Complete answer: 2y^32
HELP ASAPPP PLEASEEEEEEEE...
NO FAKE ANSWERS OR LINK
Answers
Answer:
B is the correct answer
Step-by-step explanation:
AND NO CHEATING v-v
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Help me ASAP!!
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
A. -0.95
B. -0.5
C. 0.5
D. 0.95
Answers
Answer:
b
Step-by-step explanation:
There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative
Answer:
−0.5
Step-by-step explanation:
if AG=5x-24 and GB=3x-12, find GB
Answers
The value of line GB is 6
How to determine the value of the lineFrom the diagram shown, we can see that AG, GB and AB form a triangle with two of its sides being equal.
Also, line AG = line GB
Where;
Line AG = 5x - 24Line GB = 3x - 12Then, we have;
Line AG = LIne GB
Substitute the expressions, we have;
5x - 24 = 3x - 12
Collect like terms
5x - 3x = - 12 + 24
Add or subtract like terms
2x = 12
Divide both sides by the coefficient of x
x = 12/ 2
x = 6
The, GB = 3(6) - 12 = 6
Hence, the value is 6
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Answer this pls ASAP
Answers
Answer:
19cm^(3)
Step-by-step explanation:
Answer:
V = 9π cm³
Step-by-step explanation:
We require to find the height (h) of the cylinders
The volume (V) is calculated as
V = Ah ( A is the base area and h the height ), then
3πh = 18π ( divide both sides by 3π )
h = [tex]\frac{18\pi }{3\pi }[/tex] = 6
Then the height of the smaller cylinder = 6 - 3 = 3 cm
V = 3π × 3 = 9π cm³ ← volume of smaller can
Here are the 3 questions
What is the length of AB?
What is the length of DE?
Are the circles congruent?
Thanks and please hurry!
Answers
Answer:
The length of AB is 4 and the length of DE is also 4. Yes, the circles are congruent.
Right triangle $ABC$ has one leg of length 6 cm, one leg of length 8 cm and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm
Answers
One side of the square has a length of 10 cm.
The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:
c^2 = a^2 + b^2
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √(36 + 64)
c = √(100)
c = 10
So the hypotenuse of triangle $ABC$ has a length of 10 cm.
The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.
Therefore, one side of the square has a length of 10 cm.
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Find the areahythetyhyth6jh6jh6u
Answers
Answer:
27 m²Step-by-step explanation:
[tex]A=\frac12\cdot6\,m\cdot9\,m=3\,m\cdot9\,m = 27\ m^2[/tex]
freeeeeeeeeeepointssssssssssssssssss
Answers
Answer:
thanks
Step-by-step explanation:
Answer:
Thank you so much! Have a great day! :)
Step-by-step explanation:
Which rational number is equivalent to 2.42
Answers
Answer:
121/50
Step-by-step explanation:
121/150 =2.42
help math 20 points plz help help
Answers
Answer:
first number: x axis
second number: y axis
a line or point can be formed? (not sure what your options are)
Answer:
Dude this is so easy
The answer for the fill in the blank is x the answer to second fill in the blank is y the last answer is a rectangle.
I can't help you with the coordinate plane it hard to see and can't interact with it but add me on discord and I will tell you its Darknight #9527
Step-by-step explanation:
Out of 32 student, 18 voted for Christian as president of the students council. If there are 224 students how many students voted for Christian
Answers
Answer:
126
Step-by-step explanation
Dilation result in what types of polygons
Answers
Answer:
Step-by-step explanation:
Similar polygons. Only side lengths change; the angles remain the same through dilation.
Find the area and circumference of a circle with a radius of 18 in. Round
to the nearest hundredth.
Answers
ANSWER:-
where is the given part
Please help no links please!!!!!
Answers
The first one is 200 cause 360-160=200 cause it is the arc
How do i find the solution(s) ?
Answers
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
help im tryna get my grades uppp
Answers
Answer:
1) 1.4
2) 1.53
3) 9.48
4) 12.13
5) 19.82
6) 29.70
Step-by-step explanation:
You first must turn all mixed fractions into simple fractions.
Then, find the least common denominator for each problem.
Create fractions with the same denominator.
In your answer, divide the numerator by the denominator.
Find the distance between (–2, –3) and (–6, –12). Round the answer to the nearest hundredth, if necessary.
a.
9.85 units
c.
13 units
b.
7.26 units
d.
17.49 units
Answers
Answer:
A. 9.85 units
Step-by-step explanation:
Multiply: -z^3(5 + z - 4z^2)
Answers
What is the sum of 4 3/4 and 5 2/3
Answers
Answer:
10 and 5/12 is the answer
Step-by-step explanation:
show your work
4+3/4+5+2/3
4+5=9
3/4+2/3=?
9/12+8/12=17/12
17/12+1 and 5/12
= 9+ 1/5/12 = 10 ans 5/12
Isaiah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?
Answers
Answer:
48 outcomesStep-by-step explanation:
Outcomes
6 for the die, 4 for the spinner, 2 for the coinTotal outcomes:
6*4*2 = 48what is the probability of drawing a even numbered card, keeping it, and then drawing another even numbered card from a stack of 24 cards numbered 1-24
A. 1/23
B. 2/23
C. 1/12
D. 1/11
E. 11/46
Answers
Answer:
it is a
Step-by-step explanation:
because you already pulled one card so there are less cards
can i have brainly
Do this pls 35 points
Answers
Answer:
x = 68
Step-by-step explanation:
If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.
The answer for x will be:
56 + 56 + x =180
112 + x = 180
x = 68
What is the circumference of the circle? Use 7 for s. 35 cm 2 O 44 cm 55 cm 100 cm O 110 cm Mark this and return Save and Exit INT
Answers
Answer:
55
Step-by-step explanation:
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy is getting bigger, Delaney wants to purchase a bigger crate. She decided that the dimensions of the new crate needs to be increased by 40% of the original length. Find the missing percentage.
The volume of the new crate is exactly _________% of the old crate.
Answers
Answer:
volume of the crate =40%
Step-by-step explanation:
volume of the crate =
using formula
L×B×H× dat_3
40 ×3=120
divide it by 3 month.therfore the volume°40
How many ounces of a 28% alcohol solution and a 40% alcohol solution must be combined to obtain 51 ounces of a 32% solution?
Answers
Answer:
Number of ounces of 28% alcohol = x = 34 ounces
Number of ounces of 40% alcohol = y = 17 ounces
Step-by-step explanation:
Let us represent the
Number of ounces of 28% alcohol = x
Number of ounces of 40% alcohol = y
Our system of equations =
x + y = 51 ..... Equation 1
x = 51 - y
28% × x + 40% × y = 32% × 51
0.28x + 0.4y = 16.32......Equation 2
We substitute 51 - y for x
0.28(51 - y) + 0.4y = 16.32
14.28 - 0.28y + 0.4y = 16.32
- 0.28y + 0.4y = 16.32 - 14.28
0.12y = 2.04
y = 2.04/0.12
y = 17
Solving for x
x = 51 - y
x = 51 - 17
x = 34
Therefore,
Number of ounces of 28% alcohol = x = 34 ounces
Number of ounces of 40% alcohol = y = 17 ounces
7x-2y=10 slope intercept form
Answers
Answer:
7/2
Step-by-step explanation:
7x – 2y = 10
using ( y = mx + b) as our guideline
where m is the slope
7x – 2y = 10
subtract 7x from both sides
7x – 7x – 2y = 10 – 7x
–2y = 10x – 7x
when arranged in slope form
–2y = –7x + 10
divide both sides by (–2) to get y
[tex] \frac{ \\ - 2y}{ - 2} = \frac{ - 7x}{ - 2} + \frac{10}{ - 2} [/tex]
[tex]y = \frac{ \\ 7y}{2} - 5[/tex]
[tex]the \: slope \: will \: be \: \frac{ \\ 7}{2} [/tex]
This is our answer.
i hope i
A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is 1.1 inches in diameter. If the barrel turns 47 times in being rolled up the ramp, how long is the ramp?
Answers
The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.
In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.
Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,
47 × 3.46 inches = 161.62 inches
Therefore, the length of the ramp is 161.62 inches.
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You lend out S5500 at 10% compounded monthly. If the debt is repaid in 18 months, what is the total owed at the time of repayment?
Answers
Answer:
$6386.1140
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n) ^nt
P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,
Compounding times per period = 12 (monthly)
A = 5500(1 + 0.1/12)^12*1.5
A = 5500(1 + 0.0083333)^18
A = 5500(1.0083333)^18
A = 5500 * 1.1611116
A = 6386.1140
Hence, amount to be repaid = $6386.1140