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

Answers

Answer 1

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]


Related Questions

50 points

128:x = 4:3
Solve for x

Answers

Answer:

x = 96

Step-by-step explanation:

[tex]\frac{128}{x}: \frac{4}{3}[/tex]

x · 4 = 128 · 3

4x = 384

4x ÷ 4 = 384 ÷ 4

x = 96

48 is exactly divisible by

Answers

Answer:

2, 3, 4, 6, 8, 12, 16, 24, 48.

Step-by-step explanation:

Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.

48 is exactly divisible by factors of 48.

48 divided by 4 equals 12, so 12 is the answer

Please help as soon as possible.

Answers

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

Answer: 12 π
The formula for circumference of a circle is 2 πr and the radius is half the diameter so substituting in it would be 2 π(6) which equals 12 π in exact form

Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation

Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)

Answers

Answer:

i) The distance between Sarah's house and the school is 9

ii) The distance between the school and the library is 5

iii) The distance between the library and the park is 9

iv) The distance between the park and Sarah's house is 5

2) The total distance Sarah travels is 28

Step-by-step explanation:

The given coordinates of the locations are;

Sarah's house (2, -5)

The school (2, 4)

Library (-3, 4)

Park (-3, -5)

Sarah's journey is;  From the house → The school → Library → Park → House

The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;

d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9

Sarah's house → The school = 9

ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5

The school → Library = 5

iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9

The library → The park = 9

iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5

The park → Sarah's house → 5

2) The total distance = 9 + 5 + 9 + 5 = 28.

The doubling time of a population of flies is 5 hours. By what factor does the population increase in ​29 hours? By what factor does the population increase in ​3 weeks?

Answers

Answer:

If it doubles every 8 hours then

population = initial population * 2 ^ (hours / 8)

********************************************---------

after 26 hours

population increases by a factor of

2 ^ (26 / 8) = 9.51365692

************************************************--------

after 1 week, or 168 hours

population increases by a factor of

2 ^ (168 / 8) = 2 ^ 21 = 2,097,152

If there are 3000 people in a room, what is the probability they have watched a video with 80k views?

Answers

Answer:

The answer is 26.667 ..

Step-by-step explanation:

80k/3000

find the measure of the indicated angle to the nearest degree. SOMEONE PLEASEE HELPP ME OUTT

Answers

Answer:

52

Step-by-step explanation:

arcsin 15/18

= 52

Answered by GAUTHMATH

52 hope this helps!!!!

2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...

Answers

Answer:

The sum of the first 50 is 5200

Step-by-step explanation:The given sequence is a linear sequence.

So, first we calculate the common difference

d=t2-t1

d=10-6=4

The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy

Answer:

5,200

Step-by-step explanation:

6, 10, 14, ...

Sum = [ number of terms(first term+last term) ] / 2

-we know there are 50 terms

-we now the first term is 6

-we need to find the last term

last term = first term + (n-1)* difference between first and second term

last term = 6 + (50-1) * (10-6)

last term = 6 + 49*4 = 202

Sum = [ number of terms(first term+last term) ] / 2

Sum = [ 50 ( 6 + 202) ] / 2 = 5,200

The median observation are arranged in ascending are 72,74,75,5x-10,3x+30,85,88,94.If the median mark is 82 ,find the value of x​

Answers

Step-by-step explanation:

The position of the median of an even data set is 1/2(8+1)=4.5

That is between two values, 4 and 5.

(5x-10+3x+30)/2=82

(8x+20)/2=82

(8x+20)=41

8x=41-20

8x=21

x=21/8

a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room​

Answers

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

Simplify (x-4)(3x^3-6x+2)​

Answers

Answer:

Step-by-step explanation:

[tex](x-4) (3x^{3} -6x+2)[/tex]

= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]

= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]

I hope this helps and the working out is clear.  :)

Someone please help me PLEASE.
With explanations.

Answers

Answer:

hlo

buddy

msg me on

navneet175285

Step-by-step explanation:

njkmmnu




Menus eusvtagebisvsuveudysvs sieue rjeuysvudg duty’s itteveh help

Answers

Answer:

13+12+5/2

Step-by-step explanation:

solv it answer will come

Answer:

12×5=60

1/2×4×12=24

24×2=48

60+48=108

=108cm²

PLEASE HELP!!! Bring the fraction:


b/7a^2c to a denominator of 35a^3c^3

a/a-4 to a denominator of 16-a^2

Answers

I think this should be the answer

Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.

Type the correct answer in the box. Round the answer to the nearest dollar.

Isabel’s monthly loan payment will be about $
.

Answers

Answer:

314

Step-by-step explanation:

unit activity

The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.

Answers

Answer:

Step-by-step explanation:

1985:

x = 5 years  ( 1980 to 1985- 5 years)

0.142x + 1.93 = 0.142*5 + 1.93

                     = 0.71 + 1.93

                     = $ 2.64

                     

1999:

x = 19 years

0.142x + 1.93 = 0.142*19+ 1.93

                     = 2.698 + 1.93

                     =4.628 =  $ 4.63

                     

2010:

x = 30 years

0.142x + 1.93 = 0.142*30 + 1.93

                     =  4.26 + 1.93

                     = $ 6.19

                   

ASApppppppppppppppppppppppppppppppppppppp

Answers

Answer:

15/8

Step-by-step explanation:

Skip. Flip. Multiply.

- 1/3 becomes 3/1.

3 * 5 is 15.

8 * 1 is 1.

Negatives cancel out.

Answer:

=

[tex] \frac{ 15}{8} [/tex]

That's the answer

13.6 divided by 0.81 simplified.

Answers

Answer:

16.8

Step-by-step explanation:

complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30​

Answers

Step-by-step explanation:

the answer is in the image above

The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30​ is.
| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

What is a magic square?

A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.

Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:

Step 1: Write the partially filled magic square:

Step 2: Calculate the sum of the known numbers:

Step 3: Calculate the sum of the missing numbers:

Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.

We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.

We can check that all rows, columns, and diagonals add up to 30:

| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

Learn more about magic square here:

https://brainly.com/question/28675556
#SPJ2

find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​

Answers

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

1234+1234567912345678901342=?

Answers

12345678912345678902576

Barry bought 3.28 pounds of cashews. Danielle bought 1.97 pounds of
cashews. How many more pounds of cashews did Barry buy than Danielle?

Answers

Answer:

1.31

Step-by-step explanation:

3.28 - 1.97

98 divide by 76
76 multiple by 86​

Answers

Answer:

98/76= (rounded to the nearest thousandth) 1.289.

What is the value of y?

Answers

Answer:

C

Step-by-step explanation:

Exterior angle equals the sum of opposite interior angles

y + y = 130

2y = 130

Divide both sides by 2

y = 130/2

y = 65

Answer:

C.65

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y+y = 130

2y = 130 divide both sides by 2

y = 65

It costs $10 to play football for one-half hour. How many 10-dollars bills do we need to play football for 6 hours?

Answers

Answer:

12

Step-by-step explanation:

how many half hours in 6 hours ?

it is

6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12

whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?​

Answers

The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008

32^2 = 1024

1024-1008 = 16.

root(16) = 4

How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these​

Answers

Answer:

B. {All numbers less than 2}

Step-by-step explanation:

X + 5 < 7

Subtract 5 from each side

X + 5-5 < 7-5

x<2

All numbers less than 2

The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12

Answers

Answer:

-6

Step-by-step explanation:

-123456789101112131415

A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.

A 2-column table with 6 rows titled Height of Ball over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5. The second column is labeled h(t) with entries 0, 64, 96, 96, 64, 0.
Which statement is true?

The initial height of the ball is 96 feet.
The ball will hit the ground between 2 and 3 seconds after it was thrown.
The maximum height of the ball must be 96 feet.
The maximum height of the ball was 2.5 seconds after it was thrown.

Answers

Answer:

d

Step-by-step explanation:

2021 edge

Answer:

d

Step-by-step explanation:

Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?

Answers

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{65}[/tex]

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)

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