What is the value of x? Round your answer to the nearest tenth if necessary.Right triangle whose two legs measure seven and four, and whose hypotenuse is x
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Plugging in our sides into the equation:
7^2 + 4^2 = x^2
49 + 16 = x^2
65 = x^2
x = 8.06
Rounding x to the nearest tenth, we get x = 8.1
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A parallelogram with vertices (–1, 3), (5, 1), (3, –2), and (–3, 0) is translated right 4 units, down 2 units. What are the coordinates of the vertices of the translated parallelogram?A.(3, 1), (9, –1), (7, –4), and (1, –2)B.(3, 1), (9, –1), (7, 0), and (1, –2)C.(3, 5), (9, 3), (7, 0), and (1, 2)D.(1, 7), (7, 5), (5, 2), and (–1, 4)
Answers
Answer:
$15
Step-by-step explanation:
This question can be solved with the use of a system of equations.
Start by defining the variables that will be used:
Let the cost of 1 adult and 1 child to attend the show be $a and $c respectively.
Form 2 equations and label them:
a +2c= 35 -----(1)
2a +3c= 60 -----(2)
Let's solve by elimination. Since the question is only asking for the cost for an adult to attend the show, we can work to eliminate the c term. This can be done by ensuring that the coefficients of c in both equation has the same numerical value (the sign does not really matter for now). In this case, we can make the coefficient of c to be 6 since it is the lowest common multiple of 2 and 3.
(1) ×3: 3a +6c= 105 -----(3)
(2) ×2: 4a +6c= 120 -----(4)
Since the coefficient of c in both (3) and (4) are +6, we can subtract one equation from the other to eliminate the term c.
(4) -(3):
(4a +6c) -(3a +6c)= 120 -105
Expand:
4a +6c -3a -6c= 15
a= 15
Thus, it costs $15 for one adult to attend the show.
Additional:
Do check out the following for an example on solving a system of equations by the substitution method!
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SHOW WORK
WILL MARK BRANLIEST
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Answer:
Length of the roof line is . And depth of the shed is
Step-by-step explanation:
Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.
Let be the length of the roof line. And
the depth of the shed.
We can see it is a right angle triangle with opposite (see the attachment)
Now,
Also,
So, Length of the roof line is . And depth of the shed is
Answer:
17.4 ft
Step-by-step explanation:
Given: Height of front wall is 11.5 ft
Height of back wall is 20.2 ft
Attach is the picture drawn for the question.
First lets find the depth of shed from from front to back wall.
Depth of shed from front to back wall= length of back wall - length of front wall.
∴ Depth of shed from front to back wall=
Now, using sine rule of trignometry to find length of roof line.
We know,
⇒
⇒
Cross multiplying
⇒
∴ Hypontenous= 17.4 feet
Hence, length of roof line is 17.4 ft.
Answers
I was really scared when I first looked at this ... I thought it was gonna
keep going to infinity, and I don't know how to handle those.
But this fraction only has 2 or 3 levels to it, so I think we can do it without
too much trouble.
The secret is: You definitely have to start at the bottom and work
your way up.
-- See the bottom level ? It's 2 + 1/3 .
-- Change that number all to an improper fraction, and it's 7/3 .
The reason I want to do that is because it's the denominator of the
next fraction up, and that fraction is (1 over it).
-- The denominator of the next fraction up is 7/3, so 1 over it is just 3/7.
-- Now, before we go up to the top level, it looks like we're supposed to
add the big black ' 1 ' to where we are now ... to the 3/7 .
' 1 ' = 7/7 . Add that to the 3/7, and we have 10/7 .
All we have left now, out of the whole pile, is (1 over 10/7).
And that's just 7/10.
Answers
5(2y−2)+4=4
Simplify both sides of the equation.
5(2y−2)+4=4
(5)(2y)+(5)(−2)+4=4(Distribute)
10y+−10+4=4
(10y)+(−10+4)=4(Combine Like Terms)
10y+−6=4
10y−6=4
Add 6 to both sides
.
10y−6+6=4+6
10y=10
Divide both sides by 10.
10y/10 = 10/10
Answers
(x+9)
(8 - x + 3) ÷ X+2
Answer: (x^2 +3x-6)/(8(x+2))
Step-by-step explanation: