The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?

a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm

Answers

Answer 1

Answer:

12cm

Step-by-step explanation:

h = 2b + 4

Area = 168 cm²

b = ?

Area = b*h / 2

168 = b (2b + 4) / 2

168 = 2b² + 4b/ 2

168 = b² + 2b

b² + 2b - 168 = 0

(b + 14) (b - 12) = 0

b = -14

b = 12

The base of a triangle cannot be -ve. So b = 12cm


Related Questions

The following table shows how many pizzas Dave’s pizzeria has sold each hour.

Write the slope intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation.

Answers

Answer:

x=3.3333333333333333333333333333333

Best answer gets brainliest!

Whats the question?

The answer: Shreks Smelly Armpits

Whats the question?

Answers

Answer:Shreks smelly armpit

Step-by-step explanation:cause you wrote it??

Answer:

Shreks Smelly Armpits

Step-by-step explanation:

Question:

The Land of Duloc is having a smell test with the smeliest armpits to win. Donkeys armpits have a 7/98 stink level. Shrek has x14 smelleier armpits than donkey. Lord Farquade has the same smell level as shrek but x0. Whos armpit is the smelliest?

Solve:

Donkey: 7/98 SECOND PLACE

Shrek 7 x 14 = 98 = 98/98 FIRST PLACE

Lord Farquade: 98 x 0 = 0 THIRD PLACE

Answer: Shreks Smelly Armpits

If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?

Answers

Answer: depends if there like someone like me 550 but if there responable then probaly 50-80

Step-by-step explanation:

Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?

Answers

The amount she invested in each account is:

$6,000 invested at 11%

$6,000 invested at 6%

Let x represent the amount invested at 11%

Hence:

.11x+.06(8000-x)=780

.05x+480=780

Collect like terms

.05x=300

Divide both side by .05x

x=300/.05

x=$6,000

Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.

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https://brainly.com/question/8553720

Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.

Answers

Answer:

Car a is moving at 15 miles per hour

Its slope is 15/1

Its equation is y = 15x

Car b is moving at 7.5 miles per hour

Its slope is 7.5

Its equation is y = 7.5x

Car a is moving twice as fast as car b

Step-by-step explanation:

But here's how you solve

Chose 2 points and find the change in y and change in x, then divide in the same order.

Point 1: (1, 15)

Point 2: (2, 30)

Change in y = 15

Change in x = 1

y = miles

x = hours

15 miles/1 hour

You can also do this

Pick a point and just divide it's y by its x. For example:

(4, 60)

60 miles/4 hours

15 miles per hour

Now that we have the slope, we can get the equation for the graph:

y = 15x + 0

or just y = 15x, because there is no y-intercept

Now let's solve for car b:

Chose a point:

(3, 22.5)

Divide its y by its x

22.5/3

7.5

Car b is moving at 7.5 miles per hour

Now that we have the slope, we can get the equation for the graph:

y = 7.5x + 0

or just y = 7.5x, because there is no y-intercept

Compare the speeds

Car a: 15 mph

Car b 7.5 mph

15 > 7.5

So, Car a > Car b

15/7.5 = 2

So Car a moves twice as fast as Car b

write the equation for the slope intercept form

Answers

Answer:

y=2/3x-1

Step-by-step explanation:

Joe overheard his father complaining about having to pay $300 in interest in just one year. The simple annual interest rate was 16%. How much money did Joe’s father borrow?

Answers

Answer:

$1,875

Step-by-step explanation:

Interest = Principal x Rate x Time

Principal = amount of money borrowed

I = $300

r = 16% or .16

t = 1 (year)

300 = .16P

300/.16 = P

P = $1,875

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer: y = -5/3x + 4 and 5x + 2y = 4

Step-by-step explanation:

1. Firstly, we should substract 5x on both sides of the equation.

3y = -5x + 12

Then we divide by 3 on both sides of the equation. This would give us our answer.

y = -5/3x + 4

2. The answer is 5x + 2y = 4.

The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.

2y = -5x + 4

Then we should divide 2 on both sides of the equation.

y = -5/2x + 4

The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.

The third answer is correct

Emily went to soccer practice 6 times last month. Each practice is 90 minutes long.
How long did Emily spend at soccer practice last month?

Answers

Answer:

74 days. thanks me later lol nag check out

Answer:

What is 540 minutes or 9 hours spent practicing soccer

Step-by-step explanation:

90*6=540 minutes

540/60(minutes in 1 hour)

Please allow me to know if this helped you by rating and clicking thank you!  Miss Hawaii

Foundation Geometry

A. 57*
B. 90*
C.33*
D.67*

Answers

Answer:

B or D

Step-by-step explanation:

I believe the answer is B or D if it is not im am very sorry i forgot

Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):

Answers

Answer:

Step-by-step explanation:

It is actually fairly simple; just multiple the percentage by the total students, 10.

Cat, Dog: 10% of 10 is 1.

Cat, No Dog: 30% of 10 is 3.

Cat Total: 1+3 = 4.

No Cat, Dog: 40% of 10 is 4.

No Cat, No Dog: 20% of 10 is 2.

No Cat Total: 4+2 = 6.

Dog Total: 4+1 = 5.

No Dog Total: 3+2 = 5.

where is the point (7, -1-0) loacted on the coordinate plane?

Answers

can u show a pic so I can help ?

Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

the value of x - y is

Answers

Answer:

Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair

in a scholl there are 720 boys and 640 girls find the % of girls

Answers

Answer:

47%

Step-by-step explanation:

720+640=

1360. 640/1360 = 47

If the original quantity is 10 and the new quantity is ​14, what is the percent​ increase?

Answers

Answer:

40% increase

Step-by-step explanation:

10 is you 100%

if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%

Old solve
(x ÷ 5)(x÷5)(x÷5)

Answers

Answer:

1/125(x^3)

Step-by-step explanation:

Let's simplify this expression.

[tex]\frac{x}{5} * \frac{x}{5} * \frac{x}{5}[/tex] [tex]\frac{xxx}{5*5*5}[/tex] [tex]\frac{x^3}{5*5*5}[/tex] [tex]\frac{x^3}{125}[/tex] [tex]\frac{1}{125}x^3[/tex]

Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].

Go follow lolzzzz
Did George Washington have a middle name

Answers

Answer:

Lol, I would like to answer the question tho...

(George Washington did not have a middle name.)

Step-by-step explanation:

Help Please!!!!!!!!

Answers

I’m not sure but I think the answer would be 40

Answer:

40

Step-by-step explanation:

both angles are corresponding angles which means both are equal

i.e

4x-50 = 2x+30

4x-2x = 50+30

2x = 80

x = 80/2

therefore x = 40

keep smiling

Identify which of the following sets of numbers each number belongs
to: rational numbers, integers, whole numbers.
9. -1 1/2
10. 7
11. -6
12. 4.25

Answers

an integer is the number that is not a fraction,

irrational number can be positive or negative with fractions or decimal points

a whole number cannot be negative or fractional or decimal

11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?

Answers

Answer:

the student that is correct is Gene and the solution is x=10

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

We have,

From the model below,

The right-hand side:

This can be written as,

1 + 1 = 2 ______(1)

And,

The left-hand side:

This can be written as,

-x + 8 x (-1)

-x - 8

or

-8 - x ______(2)

Now,

From (1) and (2),

2 = -8 - x

Thus,

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

Learn more about equations here:

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#SPJ3

Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

Answers

Answer:

A Translation 4 units leftwards followed by a reflection across the x-axis.

Step-by-step explanation:

he transformations are:

Translation 4 units leftwards.

Reflection across the x-axis.

You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.

Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour

Answers

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

what is the slope of the line through (-9,6), (-3,9)

Answers

Slope = (y2-y1)/(x2-x1).

(9-6)/(-3+9)
= 3/6
=1/2

What is the sum of 1 + 1?

Answers

1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

I just started this chapter someone help me with these 2 questions

Answers

Answers: For the yellow one it’s 14
For the red one it’s 15

Long answer: so the way to do this is to find the ratio. So you look at the filled shape for the yellow ones case it’s the smaller one and the sides have a ratio of 9:6 or 3:2, now since on the other similar shape the 9 lines up with 21 we can divide that by 3 getting us 7 and multiply that by 2 and get 14.

For the red one it’s the same process, 8:6=4:3 so we and we divide 20 by 4 and get 5, then multiply that be 3 and get 15.

Please mark brainliest if this helps.

Please help, I’ll mark your answer as brainliest!

Answers

the answer would be
7b+4

write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi


Show your work and leave your answer it terms of pi

Answers

Answer:

72π m³

Step-by-step explanation:

Cylinder volume:

V = πr²h

Substitute the values of r and h:

V = π(3²)(8) = 72π m³
>> Answer :

________

[tex] \: [/tex]

V = [tex]\pi[/tex] × r² × h

V = [tex]\pi[/tex] × 3² × 8

V = [tex]\pi[/tex] × 9 × 8

V = 72[tex]\pi[/tex]m³

what is 4 7/10 × 1/2 plz help me I don't know it please im thankful to whoever help me thank you so much ​

Answers

Answer:

2 7/20

Step-by-step explanation:

4 7/10 × 1/2 = 47/10 × 1/247/10 × 1/2 = 47/2047/20 = 2 7/20

Therefore, 4 7/10 × 1/2 = 2 7/20.

Answer:

47/20

Step-by-step explanation:

Converting 4 7/10 into improper fraction:

((4*10)+7)/10

= (40+7)/10

= 47/10

Multiply 47/10 by 1/2

= 47/(10*2)

= 47/20

Hope this helps and have a great time ahead at Brainly! :D

Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.

Answers

The number of kids that are at Ruben's party will be 8 kids.

Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144

Based on the information given, the equation to solve the question will be:

18 × x = 144

18x = 144

x = 144/18

x = 8

Therefore, there are 8 kids at the party.

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https://brainly.com/question/25294118

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