Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
Use an indirect proof to prove the following. Given: n^2 > 6n Prove: n≠4
Answer:
n=4 Now im The Brainliest
Step-by-step explanation:
Help, please!!! 30 points!
Find the rate of change.
A): 1/63; The car travels 1 mile every 63 hours.
B): 10; The car travels 1 mile every 63 hours.
C): 63/1; The car travels 63 miles every 1 hour.
D): 252; The car travels 252 miles.
The answer is C)
The car travels 63 mph(Miles Per Hours).
252/4 = 63
378/6 = 63
504/8 = 63
630/10 = 63
Hope Helps you
The rate of change of traveling of the car is 63 miles every 1 hour.
Rate of changeA
Distance = 252 miles
Time = 4 hours
Average speed = Distance / time= 252 / 4
= 63 miles per hour
B
Distance = 378 miles
Time = 6 hours
Average speed = Distance / time= 378 / 6
= 63 miles per hour
C
Distance = 504 miles
Time = 8 hours
Average speed = Distance / time=504 / 8
= 63 miles per hour
D
Distance = 630 miles
Time = 10 hours
Average speed = Distance / time= 630/10
= 63 miles per hour
Therefore, the rate of change of traveling of the car is 63 miles every 1 hour
Learn more about rate of change:
https://brainly.com/question/8728504
Question 1 (0.5 points)
Given a = 31, A = 84 degrees, and b = 20, use the Law of Sines to solve for B. Round
your answer to the nearest degree, and enter the number only. Note: The figure is
not drawn to scale.
Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
A = 84a = 31B = ?b = 20Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
====================
This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
A triangle with angles of x, y and 60 degrees.
Given that y = 2x, work out the values of X and y.
Answer:
Y=80, X=40
Step-by-step explanation:
A triangle has 180 degrees total. 180-60=120. Since y=2x, y=80 and x=40. Hope I helped!
Which expression is equivalent to = 6/7 divided by 3/5
Ignore.. this answer
Answer:
2/35
Step-by-step explanation:
6/7÷3/5
LCM=35
5(6÷7(3)/35
42÷21/35
=2/35
Line y = 3x - 1 is transformed by a dilation with a scale factor of 2 and centered at (3, 8). What is the equation after the dilation?
Answer:
8x3 to the 6th degree minus 4th5 odd one under.
Step-by-step explanation:
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
2-2(x-25) what is the answer?
Answer:
F= 2
F=-2
F=x-25
Step-by-step explanation:
what is the gcf of 15ab and 18b
Answer:
270a^2b^2
Step-by-step explanation:
PLS HURRY!!! HALP PLS!!! DUE IN 10 MINS!!!
Find the AREA of the IRREGULAR figures. Show your work in a very organized way, and label your answers.
11. What is the RADIUS of ONE circle? Find the AREA of the figure.
Hint: (the circles are congruent)
Answer:
258.41 m
Step-by-step explanation:
Since there are three semi-circles in the length of the rectangle, we can divide 18 by 3 to get 6 as the diameter for each circle. The area of a semi-circle is (pi*r^2)/2, we can multiply that by 3 and add it with the area of the rectangle to get the total area.
(12*18) + (3(pi*3^2))/2 =
216 + 42.4115 =
258.41 m
Have a screenshot of math question, check pick below plz thanks
Answer:
i dont see it
Step-by-step explanation:
an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct
Answer:
it lose 90 percent in 3 hours so peter is incorrect
Step-by-step explanation:
7 Evaluate
9.3 – 3.41
Answer:
Answer is 5.89
Step-by-step explanation:
Here,
Solution
9.3 - 3.41
=5.89
It takes a while for new factory workers to master a complex assembly process. During the first month that the new
employees work, the company tracks the number of days that they have been on the job and the length of time it takes
them to complete an assembly. Determine the most likely correlation.
A.Positive
B.Negative
C.No correlation
D.Curved
Answer:
Will I think it will be A
Step-by-step explanation:
because it say it was a positive
Lucy earns $8.00 per hour for walking dogs and has already earned $27.50. The number of hours, n,
for which Lucy walked dogs can be found using the equation 27.50 = 8n. How many hours did Lucy
walk dogs?
Answer:
About 3.5 hours
Step-by-step explanation:
divide
Select the letter from each column that matches an equivalent expression for each row.
Answer:A, E, G
Step-by-step explanation:
xy+(z-x) x=3 y=2 z=4
Jake the basset hound eats 0.75 pounds of dog food every day.how many days will it take Jake to eat 8.25 pounds of dog food?
Answer:
11 days
Step-by-step explanation:
8.25 divided by .75 is 11
Answer: The answer is 3
Step-by-step explanation: if x is 7 and the answer is 10 subtract 7 from 10 and you get 3
What is 1.092 as a fraction
Answer:
273/250
Step-by-step explanation:
Set it as this 1st because you need to put it in a format like this. You can multiply the top and bottom by 1000
1.092/1 to 1092/1000
Then u need to simplify it by dividing the top and bottom
(I divided by 4)
273/250
Please mark Brainliest, I have worked so hard the last few days :(
The number of children in four houses on a street of 15
led Question
1. How did you compute sums of dollar amounts that were not whole numbers? For example,
how did you compute the sum of $5.89 and $1.45? Use this example to explain your strategy.
Your answer
Answer:
Computing the sum of $5.89 and $1.45 we get: $7.34
Step-by-step explanation:
We need to explain, how can we compute the sum of $5.89 and $1.45?
Computing the sums of dollar amounts is same as computing the sum of simple decimal expressions. Each value will be added to its corresponding values and we will get the answer.
Computing the sum of $5.89 and $1.45
[tex]\:\:\:\:\:\$ \:\:5.89\\+\$ \:\:1.45\\------\\\:\:\:\:\:\$ \:\:7.34[/tex]
So, we will start adding from right side, 9 will be added with 5 and we get 14, 1 will be given carry and 8 will be added by 4 and add the carry we get 13, 1 will be given carry and 1 will be added by 5 and add the carry we get 7
So, Computing the sum of $5.89 and $1.45 we get: $7.34
15x -48,5x + 12,40,
Answer:
15x-48.5x+12.40
= -33.2x+12.40
PLS HLEP IVE BEEN ASKING AND NO ONE HELPS I BEG YOU
Answer:
just use a fractions calculator.
Step-by-step explanation:
legit simple as that
Which answer is not correct?
Answer:
the third choice
Step-by-step explanation:
because j is not a angle it is part of a angle
Michael wants to plant a circular flower garden in his backyard. If the radius of his garden is 12.5 feet, what is the circumference of the
garden in terms of pi?
Answer: 78.54
Step-by-step explanation: :D
hiiii
how are you today?
Answer:
Im good thx for askkin
Step-by-step explanation:
hbu
Find the total surface area of the prism.
7 ft
8 ft
5 ft
5 ft
Answer:
The total surface area of triangular prism
A = 232 foot²
Step-by-step explanation:
Explanation:-
Given bases of prism 5 f t , 5 f t , 7 f t
The perimeter of the sum of the bases
P = 7 + 5 +5 = 17 f t
Lateral surface area =perimeter X height
= 1 7 × 8
= 136 f t²
Base area of the triangular prism = [tex]\frac{1}{2} h ( b_{1} + b_{2} ) = \frac{1}{2} 8 ( 5 +7) =48[/tex]
The total surface area of triangular prism
[tex]A = p h + 2 Base Area[/tex]
[tex]A = p h + 2 Base Area = 136 + 2 ( 4 8 ) = 232[/tex]
The total surface area of triangular prism
A = 232 foot²
Calculate the quotient 6.8 : 1.6
a. 42.5
b. 425
C. 4.25
d. 10.88
I think the answer is a. 42.5
Given that f(x) = 8x + 3 and g(x) = x + 9, calculate.
f(g(16) =
g(f(16) =
203,140
Step-by-step explanation:
f(g(16))=f(16+9)=f(25)=8×25+3=203
g(f(16))=g(8×16+3)=g(131)=131+9=140
In this picture B,D, and Fare
midpoints. AC=50, CE=60, and
BD=35
5
AE=[?]
Enter
Answer:
AE = 70
Step-by-step explanation:
since triangle BDF bisects each side of triangle AEC, then triangle BDF is a medial triangle and the result is the following:
all four triangles are congruent (their sides are proportional)
sides that measure 25: BA, BC, DF
sides that measure 30: CD, DE, FB
sides that measure 35: FA, FE, BD
if FA = 35 and FE = 35 then AE = 70