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Vlad [161]
2 years ago
11

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 of 22m2. He knows that the base must be 1 less than 3 times the height. If the base is represented by 3x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Group of answer choices

1/2x(3x - 1) = 11

x(3x -1) = 11

x(3x - 1) = 22

1/2x(3x - 1) = 22
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
7 0

Answer:

Base=3x-1

height =x

As we know that in a triangle

{\boxed{\sf Area={\dfrac {1}{2}}\times Base \times Height }}

  • Substitute the value

\qquad\quad {:}\longrightarrow\sf  22={\dfrac {1}{2}}(3x-1)(x)

\qquad\quad {:}\longrightarrow\sf  x (3x-1)=44

\qquad\quad {:}\longrightarrow\sf  3x^2-x=44

<h3>Correct option is option D</h3>
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Answer:

  B.  Step 2 uses the associative property, and step 3 uses the commutative property.

Step-by-step explanation:

The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...

  4 + (1/6 + 3) + 5/6

The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.

  4 + (3 + 1/6) + 5/6

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<em>Comment on associative and commutative properties</em>

What applies to terms in addition applies to factors in multiplication.

5 0
2 years ago
The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Triss [41]

Answer:

x^2+ 18x -130=0

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

Area = Length * Width

So:

A_1 = (x + 6) * (3x - 2)

The smaller rectangle

A_2 = (x - 1) * (2x)

The difference between this areas give the area of the shaded region.

So:

A_1 - A_1 = 118

(x+6)*(3x-2) - (x-1)*2x = 118

Open brackets

3x^2 - 2x + 18x -12 -2x^2 +2x = 118

Collect like terms

3x^2 -2x^2- 2x +2x+ 18x -12   - 118=0

x^2+ 18x -130=0

<em>The above equation can be used to solve for x</em>

4 0
3 years ago
a club decides to sell t-shirts for $15.00 as a fundraiser. it costs $20.00 plus $9.00 per t-shirt to make the t-shirts. write a
Scilla [17]
The club would have to sell at least 6 t-shirts.
6 0
3 years ago
Pleaseeeeeeeee answer if you do your the best at life!!!!!
jenyasd209 [6]

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

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x=10+3

x=13

-2+x= -5

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4 0
3 years ago
Read 2 more answers
Leanne Raymond Montel and Emily body gift for their soccer coach the total cost of the gift including tax was $55.80 Montel paid
Flauer [41]

Solution: The total cost of the gift including the tax = $55.80

The amount paid by Montel = $14

The amount paid by Raymond is

\frac{1}{3} \times 55.80

18.6

Therefore, Raymond paid $18.6

The amount paid by Emily is

25% of 55.80

0.25 \times 55.80 = 13.95

Therefore, Emily paid $13.95

We also know that the remaining amount is paid by Leanne.

Therefore, the remaining amount is:

Total amount - Amount paid by Montel, Raymond and Emily

55.80 -(14+18.6+13.95)

55.80 - 46.55

9.25

The amount paid by Leanne is $9.25

We clearly see, Raymond has paid $18.6, which is the greatest part of the cost $55.80

7 0
3 years ago
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