Answers
Answer:
Step-by-step explanation:
The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.
The missing side is the hypotenuse
x + 2x + sqrt(x^2 + (2x)^2 ) = 28
3x + sqrt(x^2 + (2x)^2 ) = 28
sqrt(x^2 + (2x)^2 ) = 28 - 3x Square both sides
x^2 + 4x^2 = 784 - 168x + 9x^2
5x^2 = 784 - 168x + 9x^2
0 = 784 - 168x + 4x^2 Use the quadratic formula to solve this. It does not factor.
x = 5.34
2x = 10.68
hypotenuse = sqrt (5*5.35^2)
hypotenuse = 5.35*sqrt(5)
hypotenuse = 11.96
=============
Shortest leg = 5.35
Other leg = 10.7
Hypotenuse = 11.96
Total = 28.01
So the answer is mathematically correct for the hypotenuse being the unknown.
#################################
If the leg is unknown, then I'll set up the equation and you can solve it.
x + sqrt(4x^2 - x^2) + 2x = 28 subtract x from both sides
sqrt(4x^2 - x^2) + 3x = 28 Square both sides
sqrt(3x^2) = 28 - 3x
3x^2 = 784 - 168 + 9x^2
6x^2 - 168x + 784 = 0
x = 5.91
You can carry on from here.
Answer:
Step-by-step explanation:
Let's call the sides a,b,c
P=28 so
a+b+c=28
twice as long means a = 2b substitute in equation above
2b+b+c=28
3b+c=28
but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse
Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c
a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²
4b² = b²+c² or c² = b²+ 4b²
3b² = c² or c² = 5b²
yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784
9b²-168b+784=3b² or 9b²-168b+784=5b²
6b²-168b+784=0 or 4b²-168b+784=0
and probably solve using quadratic equations
Related Questions
Find X please
36/x=8/7
Answers
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
Find the area of a square with a side that measures 2.2 centimeters.
Answers
Answer:
4.84cm squared
Step-by-step explanation:
square has 4 equal sides area = l x w l and w are 2.2*2.2
2.2*2
4.84cm squared
Hope this helps :D
Answer:4.84 cm^2
Step-by-step explanation:
Area = Length x Width
Area = 2.2 x 2.2
Area = 4.84 cm^2 (centimeters squared)
What is the opposite of - 7/16
Answers
Answer: Positive 7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
because the opposite of a negative is a positive.
Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°
Answers
Answer:
75°, 105°
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the parts of the ratio, 5 + 7 = 12 parts
Divide 180° by 12 to find the value of one part of the ratio.
180° ÷ 12 = 15° ← value of 1 part of the ratio, thus
5 parts = 5 × 15° = 75°
7 parts = 7 × 15° = 105°
50 POINTS IF YOU CAN ANSWER IT!
(Click the photo to see the math problem)
Suppose your community has 3580 people this year. the population is growing 2.5% each year.
Write an exponential function to model the population. what will the population be in 3 years? Graph the function and give the domain and the range.
Answers
Step-by-step explanation:
a could be 3580 X 1.25^n
b could be 6992.19
dk c
Show the work! Ill mark Brainliest!
2x - 3y = 12
Answers
Answer:
here is explanation by graph
please solve both questions, i'm very confused! thank you
Answers
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
i'll mark you as brainliest
Answers
Answer:
the answer is 6
Step-by-step explanation:
PH is the midsegment of Triangle KLM. Find the value of x.
Answers
Answer:
x = 26
Step-by-step explanation:
The midsegment is parallel to the side KM and half its length, thus
KM = x = 2 × 13 = 26
what is the 3rd equivalent fraction to 2/3
Answers
Answer:
What do you mean by third equivilent fraction? One equivalent fraction is 4/6.
Step-by-step explanation:
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Answers
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answers
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answers
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
Jessica started the school year when she was 64.15 inches tall. She grew 2.87 inches during the school year. How tall, in inches, was Jessica at the end of the year? Show your work.
Answers
Answer:
67.02 inches
Step-by-step explanation:
If Jessica started out 64.15 inches and grew 2.87 inches then you know that you must add these together.
64.15 + 2.87 = 67.02
Jessica is 67.07 inches at the end of the school year.
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answers
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Answers
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (-3,-6) and (2,-2). So, the equation of line is
[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]
[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]
Subtract 6 from both sides.
[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]
Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].
Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n
Answers
Answer: C
Step-by-step explanation:
which shape has the greatest number of lines of symmetry
Answers
Answer:
E
Step-by-step explanation:
It has 4 lines I think
Please mark brainliest!
Answer:
D-I believe its the square
Step-by-step explanation:
because a square has four lines of symmetry and the other one have less than four
If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answers
Answer: 2
Step-by-step explanation:
the rate Marie paints the room= 1/3
The rate her sister paints the room= 1/6
working together their combined rate is 1/3+1/6 =9/18
the time for then to work together= 9/18
= 2 hours.
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Helps me solve this problem please
Answers
Answer:
0,2
Step-by-step explanation:
What is the average speed of a boat that travels 57 kilometers in 3 hours?
Answers
Answer:
19 km/h
Step-by-step explanation:
average speed = total distance / total time
in this case it will be 57/3 = 19 km/h
Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation
Answers
Answer:
the triangle was rotated about 90 degrees i think
Answer:
The answer is D. Rotation
Step-by-step explanation:
Took the test lol
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answers
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
The measures of the angles of the triangle solve for x
Answers
Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
3x + 12 + 54 + 90 = 180, simplify
3x + 156 = 180 ( subtract 156 from both sides )
3x = 24 ( divide both sides by 3 )
x = 8
I NEED HELP ASAP!!!! Pleaseeee
Answers
Answer:
jhcgskuaygrhfksrhdfcgiuzx6yh
.luc
Step-by-step explanation:
yay! tysm guys for helping me on this test! i got a 85! :)
Answers
Answer:
Proud of you!! <3 :)
Step-by-step explanation:
When you can.. please answer these! THANK YOU SO MUCH WAHHH
Match the corresponding rational expressions with the letter of the correct answer.
Answers
Answer:
1-C
2-F
3-A
4-D
5-B
6-E
Step-by-step explanation:
What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60
Answers
Answer:-60
Step-by-step explanation:
plz help and give explaination of how to do it
Answers
Answer:
25% decreased by 60% is 10
Step-by-step explanation:
New value =
25 - Percentage decrease =
25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 = 10
hope this helps :)