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

Answers

Answer 1

Answer:

Base=3x-1

height =x

As we know that in a triangle

[tex]{\boxed{\sf Area={\dfrac {1}{2}}\times Base \times Height }}[/tex]

Substitute the value

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

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

[tex]\qquad\quad {:}\longrightarrow\sf 3x^2-x=44 [/tex]

Correct option is option D
Answer 2

The equation that correctly shows the area of the triangle is 1/2x(3x - 1) = 22. Correct option is d.

To find the equation that correctly shows the area of the triangle, we use the formula for the area of a triangle:

Area = (1/2) * base * height

Given that the base is represented by 3x - 1 and the height is x, the area of the triangle is:

Area = (1/2) * (3x - 1) * x

Now, we are given that the area of the triangle is 22m^2:

(1/2) * (3x - 1) * x = 22

To solve for x, we can multiply both sides by 2 to eliminate the fraction:

2 * (1/2) * (3x - 1) * x = 2 * 22

x * (3x - 1) = 44

Now, we have the equation that correctly shows the area of the triangle:

x(3x - 1) = 44

So, the correct answer is:

x(3x - 1) = 44

To know more about triangle"

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Related Questions

Smithville and Clinton are 4 cm apart on a map that has a scale of 1 cm:20 2 points
km. How far apart are the real cities? *

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They are 80km apart from each other

a count went up from 450 to 600. what was approximate percentage increase?

Answers

75% 450 times 100 divided by 600

Solve for a: g=ca-b


help

Answers

Answer:

[tex] a = \dfrac{b + g}{c} [/tex]

Step-by-step explanation:

g = ca - b

Switch sides.

ca - b = g

Add b to both sides.

ca = b + g

Divide both sides by c.

[tex] a = \dfrac{b + g}{c} [/tex]

Kenton has read 48 pages of his book. If this is equal to 40% of his book, how many pages is the entire book?

Answers

Answer:

120

Step-by-step explanation:

We know that 40% of x is 48, we can set this porportion (is that what it is called?).

48/x=40/100Cross multiply, 4800=40xDivide, 120=x

Check your work:

40/100=4/10=2/548/120=4/10=2/5

Answer:

120

Step-by-step explanation:

because i had it on a dca

Using pennies, nickels, dimes or quarters, determine which kind of coin is in each circle. First clue: The total value of the four coins is an odd number. Second clue: The sum of the value of the middle 2 coins is 11¢. Third clue: Each coin is worth the same as or more than the coin to its left (coin in C is worth the same as or more than the coin in B).

Answers

Answer:

Coin 1: Penny

Coin 2: Penny

Coin 3: Dime

Coin 4: Quarter

------

Coin 1: 1

Coin 2: 1

Coin 3: 10

Coin 4: 25

Step-by-step explanation:

Clue 1: 1 + 1 + 10 + 25 = 37, which is an odd number so that works.

Clue 2: 1 + 10 = 11, so that works.

Clue 3: 1 = 1 < 10 < 25 (1 is equal to 1 is less than 10 is less than 25) so that works.

Order the side lengths HI, IK, HJ, IJ, and KJ from least to greatest.​

Answers

Answer:

KJ, IK, HI, HJ, IJ

Explanation:

The shortest side of a triangle is always opposite the smallest angle, and the longest side is always opposite the largest angle

Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?]

Answers

Turtle can go in any direction farthest  to 4 block

hence Maximum Distance can be + 4 or - 4

Block representing farthest distance is x

Distance of block  x from 112  would be

x  - 112  

x  - 112    = ± 4

Taking mod both sides

=> | x - 112 | = |  ± 4 |

=> | x - 112 | = 4

| x - 112 | = 4  is the equation which can be used to find the block numbers that represent the farthest distance that the turtle may be

Brainliest?

The ordered pairs show (height in inches, men’s shoe size). (70, 9.5) (67, 8) (69, 9) (72, 11.5) (68, 7.5) (60, 6) (71, 11) Use the regression calculator to generate the regression equation used to make predictions. What is the approximate height of a man who wears a size 7 shoe? Round to the nearest whole number.

Answers

Answer: A

Step-by-step explanation:

I just answered this question on edg

Answer:3

Step-by-step explanation:

solve: -6 +5<11 which graph shows the solutions

Answers

Answer:

would you mind attaching a picture of the graph so that I can tell you which one?

4/3 divided by 5/4 in simplest form

Answers

Answer:

the answer is 16/15

The simplified form of the expression 4/3 divided by 5/4 is 16/15.

What is the simplified form of the expression?

Given the expression in the question:

4/3 divided by 5/4

Which is the same as:

4/3 ÷ 5/4

To divide the fractions 4/3 ÷ 5/4, follow the steps:

Dividing a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction:

Hence:

4/3 ÷ 5/4

4/3 × 4/5

Multiply the numerators and then multiply the denominators:

( 4 × 4 ) / ( 3 × 5 )

Simplifying, we get:

( 4 × 4 ) / ( 3 × 5 )

16 / ( 3 × 5 )

16/15

Therefore, the simplified form is 16/15.

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Guys I would really like the help pls

Answers

Answer:

#1: 345

#2: 10%

#3: 7.35

#4: 290.50

Step-by-step explanation:

Singing classes cost a $500 annual fee plus $100 for each
class you go to. What is the average cost per class if you go to
5 classes?
$______

Answers

Answer:

500 + (100 x 5) = 1000

Step-by-step explanation:

I bought a movie ticket with my debit card. How long before the money will come out of my checking account?
A week
Immediately
2 days
10 days

Answers

Answer:

2 to 3 days to come out of your checking account

Answer: The answer is immediately, other person was wrong smh.

Step-by-step explanation:

took the test, its immediately

helppppppp! please:(

Answers

Answer:

A or 9

Step-by-step explanation:

Consider the number inside the "f(-4)" to make x=-4. This means using the table you can know that f(x) = 9.

Ok so the answer is the one you feel to be right

ASAP PLZ

Aqua town charges $4.50 admission plus $0.75 for each ride. The cost at Wet World is $2.50 admission plus $1.25 per ride. Write an equation for the cost of going to Aqua Town. Write an equation for the cost of going to wet world. How many rides would you have to ride for both water parks to cost the same amount? What would the cost be? Write a system of equations( put your two equations equal to each other)to solve for x and y. Write your answer in the form (x,y).​

Answers

Answer:

9.00

Step-by-step explanation:

Find the radian measure of the central angle of the circle of radius 6 cm that intercepts an arc of length 32 cm.

Answers

Answer:

formula to use: s=rx, s=arc, r=radius, x=central angle in radians

32=6x

x=32/6=16/3 radians

Step-by-step explanation:

hope this helps! :)

The radian measure of the central angle of the circle is 5.33 rads

A circle is the locus of a point such that its distance from a fixed point is constant.

The arc length is given by:

Arc length = θ * r

Where r is the radius and θ is the central angle in radians.

Given an arc length of 32 cm and radius of 6 cm, hence:

Arc length = θ * r

32 = θ * 6

θ = 5.33 rads

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Solve for x.
-3x + 4 = -2x + 0
A 4
B 0.25
С -4
D -0.25

Answers

Answer:

A

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3x+4=−2x+0

−3x+4=(−2x)+(0)(Combine Like Terms)

−3x+4=−2x

−3x+4=−2x

Step 2: Add 2x to both sides.

−3x+4+2x=−2x+2x

−x+4=0

Step 3: Subtract 4 from both sides.

−x+4−4=0−4

−x=−4

Step 4: Divide both sides by -1.

−x

−1

=

−4

−1

x=4

Answer:

4

Step-by-step explanation:

-3x+2x=0-4

-x=-4

Divide both sides with a minus to get positive.

Therefore, x is 4.

someone answer please??

Answers

Answer:

2197 mosquitos

Step-by-step explanation:

If we assume that the colony grows at a constant exponential rate of 30%, we can then multiply 1300 by 30% and add that to our original 1300, and we get 1690. If we do that one more time for 3 days, we get 2167 mosquitos.

Write the numbers in order from greatest to least.

0.115, 0.15, 0.005, 0.5

Answers

Answer:

0.5, 0.15, 0.115, 0.005

Step-by-step explanation:

A number can be written from the greatest to the and the lowest to the highest when given a series of number. This series of number can be in mixed fraction forms, improper fraction or decimal. When a number is said to be written from the greatest to the lowest, it is called descending order but from the lowest to the greatest it is called ascending order.

From the list of the series of the decimal numbers given, writing the numbers in order from the greatest to the least number will choose the form:

0.5, 0.15, 0.115, 0.005

For which value of x is the equation 3(x + 2) + x = 2x + 16 true?

Answers

Answer:

X = 5

Step-by-step explanation:

help if correct u get brainly

Answers

Answer:

The answer is 6/2 or 3/1.

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1). To find the answer, plug in two corresponding points. For example, [2.75-(-3.25)]/1-(-1). This will simplify into (2.75+3.25)/(1+1). After adding your numbers, you are left with 6/2.

Answer:

Step-by-step explanation:

the slope is the diference in y values /diference in x values of 2 points

1.

m= 14.75 -2.75 / 5-1 = 12/4 = 3

2.

8-0/1- -3= 8/1+3=8/4= 2

6
Identify the values that create ordered pairs that are solutions to the equation 3x - 5y = 20.
What is the y value for the first ordered pair?
(1 Point)
(5, y1)
and
(x2, 2)
- 14
-5
-1
2
5

Answers

Answer:

(5, -1)

(10, 2)

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of
4.4
in. Round your answer to the nearest tenth of a cubic inch.

Answers

9514 1404 393

Answer:

  V ≈ 154.1 in³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)π(4.4 in)²(7.6 in) ≈ 49.045π in³

  V ≈ 154.1 in³

__

Additional comment

If you use 3.14 for π, your result will be 154.0 in³.

What is the equation of a line with the points (2,-1) and (4,-6) and a y-intercept of 4?

Answers

Answer:

(-4,6)

Step-by-step explanation:

Answer:

(-4,6)

Step-by-step explanation:

Short Answer
Note: Your teacher will grade your responses to 22 and 23 to ensure you receive proper credit for your answers.
22.
Explain and demonstrate how to change 4/20
into a percent.

Answers

Answer:2/10

Step-by-step explanation:

You need to divide the fraction by 2

so 20/2=10

4/2=2

the answer is 2/10

PLZZZZZZ BRAINLIESTTTTT

Answers

6 should be your answer
It should be 6 sorry if I’m wrong

Which number can be used as a common denominator for the fractions One-fourth and FIve-sixths?

Answers

Answer:

12

Step-by-step explanation:

Given two fractions:

One - fourth and Five - Sixths.

To find:

The common denominator that can be used for the given fractions.

Solution:

First of all, let us have a look at the given fractions:

First fraction is:

[tex]\dfrac{1}{4}[/tex]

Second fraction is:

[tex]\dfrac{5}{6}[/tex]

The denominators of the fractions are 4 and 6.

To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.

LCM is the least number which is divisible by the two numbers.

Let us find the LCM by factorization method.

4 = 2 [tex]\times[/tex] 2

6 = 2 [tex]\times[/tex] 3

The common number are taken once and other number which are not common are taken as it is.

So, the LCM is 2 [tex]\times[/tex] 2 [tex]\times[/tex] 3 = 12

The numbers can be written as:

[tex]\dfrac{3}{12}, \dfrac{10}{12}[/tex]

Therefore, 12 can be used as the common denominator.

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge was above the water versus the
amount of minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete the table to determine the rate of
change for the drawbridge (in feet per minute) at each of the specified intervals.

Answers

Answer:

25, 0, -25

Step-by-step explanation:

round 479. 86004 to 2DP​

Answers

Answer:

479.86 is the right answer

the surface area of a pyramid is the sum of the areas of the lateral faces and the area of the base.

Answers

Answer:

Correct.

Step-y-step explanation:

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