the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base

Answers

Answer 1

Answer:

Base = 3 cm

Step-by-step explanation:

Area of a triangle =  [tex]\frac{1}{2} bh[/tex]

Let h = height

base =  2 times the height - 5; b = 2h-5

Area = 6 cm²

 A = [tex]\frac{1}{2}bh[/tex]

[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex]             Multiply 2h(h) -5(h)

[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex]      Multiply both sides by 2 to remove the fraction

 12 = 2h²- 5h

2h ² -  5h  - 12 = 0                Set the equation = 0 and factor  

(2h + 3)(h - 4) = 0

2h + 3 = 0    or h - 4 = 0

2h = -3               h = 4

h = -3/2        or   h = 4        Answer can not be negative so h = 4cm

The base is 2(4) - 5; The base = 8 - 5; base = 3 cm


Related Questions

You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?

Answers

Answer:

It would take 20 chores.

Step-by-step explanation:

1 chore = $5

=> 1 x 20 = $100

=> 20 chores = $100

Therefore, it would require me 20 chores to save $100 and buy that Lego set.

Hoped this helped.

what is 5 x 1284
plz answer thanks

Answers

Answer:

6420

Step-by-step explanation:

hope this helps

Cindy saves 420 each month her monthly salary is 2100 what is the ratio of the amount Cindy saves to the amount she earns each month?

Answers

the ratio of 2100 salary to 420 saved is 15:3 each month

Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?

Answers

Answer:

the answer is 20

Step-by-step explanation:

got it yw man<333333

The number a is about 8 times greater than b.
Find the correct value of a and b.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2

Answers

Answer:  None of the answers are viable.

Step-by-step explanation:

a ≅ 8b

a/b ≅ 8

A.  (3.1/2.5) = only slightly greater than 1

B.  2.5/3.1    = slightly less than 1

C.  (2/1.2) = less than 2

D.  1.2/2 = less than 1

None of these answers is viable.

None of the options are correct.

Given,

The number a is about 8 times greater than b.

We need to find the correct value of a and b from the given options.

A. a = 3.1 and b = 2.5

B. a = 2.5 and b = 3.1

C. a = 2 and b = 1.2

D. a = 1.2 and b = 2

What do the mathematical terms mean?

We have,

2 times M = 2x M

2 greater than M = M + 2

2 less than M =  M - 2

Sum = adding

Times = Multiplication

Find the value of a and b.

We have,

The number a is about 8 times greater than b.

We can write it as

a = 8 x b

Find out which option is correct.

A. a = 3.1 and b = 2.5

a = 8 x b

3.1 = 8 x 2.5

3.1 ≠ 20

So this option is incorrect.

B. a = 2.5 and b = 3.1

2.5 = 8 x 3.1

2.5 ≠ 24.8

This option is not correct.

C. a = 2 and b = 1.2

2 = 8 x 1.2

2 ≠ 9.6

This option is not correct.

D. a = 1.2 and b = 2

1.2 = 8 x 2

1.2 ≠ 16

This option is not correct.

Thus none of the options are correct.

Learn more about finding a and b values with a given condition between a and b here:

https://brainly.com/question/11133570

#SPJ2

answer this question

Answers

First we need to solve the inequality

[tex]\\ \sf\longmapsto 2x-8<4x+5[/tex]

[tex]\\ \sf\longmapsto -2x=13[/tex]

[tex]\\ \sf\longmapsto x=-\dfrac{13}{2}[/tex]

[tex]\\ \sf\longmapsto x=-4\dfrac{3}{4},6.5[/tex]

A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished

Answers

Answer:

75%

Step-by-step explanation:

1 = 10%

2 = 25%

3 = 50%

4 = 75%

5 = 100%

An animal hospital advertises a veterinarian’s starting salary as $50,000 for the first year, with increases of $1,500 each year for the next nineteen years. The total salary is represented by the series shown. (first image)

Which is equivalent to the series? Check all that apply.

Answers

Answer:

A B & D

Step-by-step explanation:

Edge 2021

Answer:

Part 1: A, B, and D

Part 2: $1,285,000

Step-by-step explanation:

Edge 2022 :)

there are 6 marbles if 5 are needed, how many different alternatives are there

Answers

Answer:

30

Step-by-step explanation:

5x6=30

The answer for this lol thanks

Answers

Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

the Arizona Cardinals won 10 games out of 16 games during the 2009 regular season. At this rate, how many games do they need to play to win 50 games?

Answers

For every 10 games they won they lost 6:

50 wins/ 10 wins = 5

5 x 6 loses = 30 loses

50 wins + 30 loses = 80 total games

Answer: 80

Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have? ​

Answers

Answer:

catherine has 16 card and sam also has 16 card

can someone lease tell me the answer to this question i'm abt to ask? what is 1 + 1/4?

Answers

Answer:

1 1/4 or 5/4 or 1.25

Step-by-step explanation:

The picture shows the $481 four friends worked together to earn.

They want to split this money equally.


Drag the money below to the box to show how much each friend will get.

Answers

Answer:

for what you have you need to add one more $10 bill.

or make it total $120.25

good luck!!

The total amount each friend will get after split money equally is $120.25.

Given that;

The picture shows the $481 four friends worked together to earn.

And, They want to split this money equally.

Here, the total amount earn = $481

And, the number of friends = 4

Hence, the amount each friend will get,

$481/4 = $120.25

Therefore, the value of the amount is $120.25.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?

Answers

Answer:

$10.91

Step-by-step explanation:

7 gallons cost:

[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]  

rounded to cents: 10.91

I hope this help you

the answer is $10.91 for seven gallons, if u divide 7.79 by 5 it will give you the cost per gallon then once multiplied by how many gallons you will get the correct answer.

A 0;2;4;6;8
;
B 3;4;5;6;7

Answers

Answer:

A    -4; -2; 0 ; 2 ; 4 ; 6 ; 8 ; 10

B   1; 2; 3; 4; 5; 6; 7; 8

Find the slope given two points: (-9, -2) and (-5,0)

Answers

Answer:

1/7

Step-by-step explanation:

Consider the line passing through these two points.  The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.

Thus the slope of this line is m = rise/run = 2/14, or m = 1/7

Answer:

[tex]m = \frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope using two given sets of coordinates, the following function can be used:

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

Where x1,y1 are one set of coordinates and x2,y2 are the other set:

[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]

[tex]m = \frac{0 + 2}{-5 + 9}[/tex]

[tex]m = \frac{2}{4}[/tex]

This can be simplified down to:

[tex]m = \frac{1}{2}[/tex]

Hope this helps!

Find the perimeter. Simplify your answer.

Answers

Answer:

6z-30 :D

Step-by-step explanation:

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need

Answers

Answer:

Approximately 11.1666666667 rows

Step-by-step explanation:

134/12= 11.1666666667

Answer:

  12 rows

Step-by-step explanation:

  (134 students) / (12 students/row) = 11 2/12 rows

The 6th-graders will need 12 rows of seats. The last row will not be filled.

500 dollars divided by 3:7

Answers

Answer:

150:350

Step-by-step explanation:

3:7 = 3+7=10

500:10=50

3x50=150

7x50=350

150:350

Hope this helps :)

500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.

Adding & Subtracting Decimals
Add the decimals using the table.
46.9 + 14.74
+

Answers

Answer:

19.43

Step-by-step explanation:

This is a trick for you.

Make the numbers to become whole numbers(1474+469)

After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.

plz help me fast Simplify t12/t6

Answers

Answer:

t^6

Step-by-step explanation:

when dividing exponents, you subtract (refer to exponent rule)

t^12 - t^6 = t^6

Round 0.817446 to the ten-thousandths place.

Answers

Answer:

0.8174

Step-by-step explanation:

You just round up to the 4th to the right

Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...

  B.  (6·1/3)·7/5

go ahed and try im confuesd

Answers

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

Math pls I need help

Answers

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

Select the ordered pair that is a solution to the equation represented by the graph.

Answers

Answer:

c

Step-by-step explanation:

i’m physically begging for someone to help i do not understand

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME OUT

Convert the following

35 mL = _____dL

950 g = _____ kg

Answers

Answer:

950 g = 0.95 kg

35 mL = 0.35 dL

hope this helps

Answer:

35 mL = 0.35 dL

950 g = 0.95 kg

Step-by-step explanation:

This is the answer because:

1) For mL to dL, divide the volume value by 100: 35/100 = 0.35

2) For g to kg, divide the mass value by 1000: 950/1000 = 0.95

Hope this helps!

Maria and Carlos went to the game store during its sale.
Together they spent $38.50. If each game cost $3.50 and Carlos
bought one more tan Maria, how many games did each buy?

Answers

Answer:In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

38.50 divided by 3.50

11

if there are 11 in all then carols bought 6 games

and Maria bought 5 games

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