Answers
Answer:
5
Step-by-step explanation:
Pythagorean Theorum: a^2 + b^2 = c^2
12^2 + y^2 = 13^2
144 + y^2 = 169
Subtract 144 from both sides
y^2 = 25
Square root both sides
y = 5
Answer:
y = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
y² + 12² = 13²
y² + 144 = 169 ( subtract 144 from both sides )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
Related Questions
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].
Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.
This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.
Which text feature would best help readers understand important details in this excerpt?
a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building
Answers
Answer:
B. a picture of Knife Edge Mirror Two Piece
Step-by-step explanation:
pls give brainliest, u don't have to
Did it on edge, hope u have a good day :)
Answer:
b
Step-by-step explanation:
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:
In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?
Answers
Answer:
5563.85 But round the nearest whole number is 5564
Step-by-step explanation:
Formule is P=Ie^(r)(t)
If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, then 5563.85 is the population in 2022.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In 2010 the Network Club membership was 2,500.
Annual growth rate of approximately 8%
8% is converted to decimal value by dividing 8 with 100
8/100=0.08
[tex]P=Ie^{rt}[/tex]
p is the final population
I is the initial population
[tex]p=Ie^{0.08(10)}[/tex]
[tex]p=2500e^{0.8}[/tex]
p=5563.85
Hence, 5563.85 is the population in 2020.
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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)
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answers
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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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
What is the average rate of change in profit from Hour 5 to Hour 10?
Answers
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
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which one is it?? answer right for brain liest
Answers
Answer:
20 (D)
Step-by-step explanation:
2.5 miles in 1/8 of a mile
so multiply by 8 to get 1 hour
2.5 * 8 = 20
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.
please help asap! xoxo
Answers
Answer:
First one obv false
the second one since they all times 3/4 so yes
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
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answers
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
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
i need help on my finals
Answers
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
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
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.
Decide whether each of the following is greater than 1 or less than 1 and explain your answer.
1.) 1/2 ÷ 1/4 =
2.) 1 ÷ 3/4 =
3.) 2/3 ÷ 7/8 =
4.) 2 7/8 ÷ 2 3/5 =
Answers
Answer:
4.) 2 7/8 ÷ 2 3/5 =
1. Greater than 1
2. Greater than 1
3. Less than 1
4. Greater than 1
Step-by-step explanation:
I took the quiz
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%
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
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Answers
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.
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 :)
Find EF. Please help!
Answers
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
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:
i'll mark you as brainliest
Answers
Answer:
the answer is 6
Step-by-step explanation:
A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators
Answers
Someone help me please I don’t know how to do this
Answers
Step-by-step explanation:
A
y=10x
x:y=x:10x=1:10
Find X please
36/x=8/7
Answers
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n
Answers
Answer: C
Step-by-step explanation:
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.