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Sloan [31]
3 years ago
5

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an a

rea 36m2. He knows that the base must be 1 less than 2 times the height. Find the equation that correctly shows the area of the triangle.
A. x(2x - 1) = 36
B. 1/2x(2x - 1) = 36
C. 1/2x(2x - 1) = 18
D. x(2x - 1) = 18
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

Equation for area = 36 = [1/2]x[2x - 1]

Step-by-step explanation:

Given:

Area of triangle = 36 m²

Length of base = 2(Height) - 1

Find:

Equation for area

Computation:

Assume;

Height = x

Area of triangle = (1/2)(b)(h)

36 = (1/2)[2(x) - 1][x]

36 = [1/2]x[2x - 1]

Equation for area = 36 = [1/2]x[2x - 1]

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Rom4ik [11]

Steps to solve:

5 + (8 + 2)

~Solve whats in parenthesis

5 + 10

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15

Best of Luck!

7 0
3 years ago
Solve the system of equations by first multiplying 2x + y = 1 3x + 3y = 15 Write the solution as an ordered pair:_____
jasenka [17]

Multiply the equation 2x + y = 1 by 3 to obtain same coefficients of y.

\begin{gathered} (2x+y=1)\times3 \\ 3\cdot2x+3\cdot y=3\cdot1 \\ 6x+3y=3 \end{gathered}

Substract the equation 3x + 3y = 15 from 6x + 3y = 3 to eliminate the terms of y.

\begin{gathered} 6x+3y-(3x+3y)=3-15 \\ 3x=-12 \\ x=-\frac{12}{3} \\ =-4 \end{gathered}

Substitute -4 for x in the equation 2x + y = 1 to obtain the value of y.

\begin{gathered} 2\cdot(-4)+y=1 \\ -8+y=1 \\ y=1+8 \\ =9 \end{gathered}

So solution of equations is (-4,9).

8 0
1 year ago
I really need help on both but if you can only answer one that's perfectly fine!
Fofino [41]

Answer:

110, 15%

Step-by-step explanation:

So for the first problem, recall that there is 100%. 12% of the answers on a test were missed.

There are 125 questions on the test.

To find the answer, what we can do it multiply 125 by 100%-12%

So 125*88%

THis can be looked at as:

125*.88

=

110

So we know the first answer is 110, now lets move onto the next one.

There a few ways of diong this, we could do 100%- each of the answers, and then multiply that by 2760 and see if we get 2400, but there is an easier way of doign this.

Take your 2760, and divide it by 2400. This will get you 1.15. So 2400 is increases by .15. This is equal to an increase of 15%.

There is a catch to this one however, when you divide 2400 by 2760, which should get you 85%, it gets you 86%. This would be 14%. So the answer seems to be 15%, but if not, its none of the above.

So answers:

110 and 15%(or none of the above)

Hope this helps! I am sorry about the bottom answer though, but 15% makes the most sense to me.

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3 years ago
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Only the first one, because the airplane one would increase and then go flat.
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