Mathematics High School

The base of a triangle is eleven feet less than
four times its height. If the sum of the lengths of
the base and height of the triangle is 49 feet,
find the area of the triangle.

Answers

Answer 1

Answer: 129 Feet

Step-by-step explanation:

You can make an equation where Height=h, and Base=b. So going backwards with the first question, the base will equal 4 times the height: b=4h, and 11 less. b=4h-11. The the other equation will be just that the base plus the height is 49. b+h=49. Then you put that into y=mx+b form. The first equation already is, and the second equation would be b=49-h. So, since the equations equal the same things, you throw away the b. Then you make a new equation by having 4h-11 equal 49-h. Since this is true seeing as they are the same triangle. Then you just use propreties of equality for the equation. You end up with 5h=60. The. You divide 60 by 5 to make 5h just equal h. So you get h=6. Then, like the qeuation said, the base (unknown) plus the height (6) is 49. So to get from 6 to 49, the answer is 43. The formula for that area of a triangle is (base x height) /2 = area. So 43 times 6 is 258. Then divided by 2 is 129. So the area of the triangle is 129.

Answer 2

The area of the triangle is 222 square feet.

Area of a triangle

The formula for calculating the area of the triangle is expressed as:

A = 0.5bh

b is the base of the triangleh is the height of the triangle

The base of a triangle is eleven feet less than  four times its height,

b = 4h - 11

Also, if the sum of the lengths of  the base and height of the triangle is 49 is expressed as:

b + h = 49

4h-11+h = 49

5h = 49 + 11

5h = 60

h = 12

Since 4h = b + 11

4(12) = b + 11

b = 48 - 11

b = 37

A = 0.5(12)(37)

A = 222ft^2

Hence the area of the triangle is 222 square feet.

Learn more on area of triangle here: https://brainly.com/question/17335144

Related Questions

What is the equation represented by the table above?
A y = 8x
B y = x + 7
C y = 5x + 3
Dy = 3x + 5

Answers

Answer:

C:  y = 5x + 3

Step-by-step explanation:

Note that if x changes from 1 to 3 (the "run"), y changes from 8 to 14 (the "rise").  Thus the slope of the line represented by the table is m = rise/run = 6/2, or m = 3.  Answer choice D is the only one that displays a slope of 3.

Answer:

Answer is D

Step-by-step explanation:

A. 14=8(3), 14≠24

B. 14=3+7 , 14≠10

C. 14=5(3)+3, 14≠18

D.14=3(3)+5, 14=9+5 14=14

6,336 ft. = in league

Answers

Answer:

6336 feet = 0.3476 nautical leagues

Un estudiante reparte el tiempo de un día de la siguiente forma:

1/4 del día duerme,

1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12

del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?​

Answers

Answer:

4 horas para compatir com su familia

Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?

Answers

Answer:

a

Step-by-step explanation:

simplify the screenshot below

Answers

Answer:

-4x - 16y

Step-by-step explanation:

Given:

-4(3x - 2x + 4y)

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

I need help plzzz

-6p + 19 > 7

Answers

Answer:

p < 2

Step-by-step explanation:

hope this is right and have a good day

4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)

Answers

The third one i believe

Answer:

G. (-2.5, 0)

Step-by-step explanation:

Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).

hope this helped :)

Is j+j+j+j and j with the power of four equivalent? ​

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

j + j + j + j = 4j

j^4

Let's say j = 2

4j = 8

j^4 = 16

Answer:

NO

Step-by-step explanation:

j+j+j+j

remember multiplication is repeated addition!

j+j+j+j = 4j

THIS IS DIFFERENT! powers are repeated MULTIPLICATION.

j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!

anyone know the answer?

Answers

I legit can’t see it

Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?

Answers

Answer:

x²+8x+9=0

Comparing above equation with ax²+bx +c

we get

a=1

b=8

c=9

quadratic equation is

[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]

[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]

2x+8=±[tex] \sqrt{ {28}}[/tex]

taking + ve

2x=[tex] \sqrt{ {28}}[/tex]-8

x=[tex] 2\sqrt{ {7}}[/tex]-8/2

x=[tex] \sqrt{ {7}}[/tex]-4

taking -ve

2x=-[tex] \sqrt{ {28}}[/tex]-8

x=-[tex] 2\sqrt{ {7}}[/tex]-8/2

x=-[tex] \sqrt{ {7}}[/tex]-4

As given

x²+8x+9=0

General equation

Ax²+Bx+C

On comparing

A=1B=8C=9

Plzz its urgent answer my question​

Answers

Answer:

the answer is option (b)

good day mate

Help please :) (asap)

Answers

x^2 - x - 6= 0

(x - 3) ( x + 2) = 0

Equating

x - 3 = 0

x = 3

x+ 2= 0

x = -2

Answer: x - 6

Step-by-step explanation:

please don't put any links or I'll report you:)​

Answers

His tip was a total of $6.26

Answer:

Hey I have the answer in a link

Look down For link!

Cmon half way there

jkjk

First part (tip amount)

$6.26

Second part (Total bill)

$41.04

Step-by-step explanation:

Well to find the percentage of a number, convert the percent into a decimal which is basically moving the decimal place 2 places to the left. THen you multiply that amount by the original number an din this case you would get 6.2604. You round that to the nearest penny (or hundreths) and you;d get $6.26. Thats the first part

The second part is simple, you add the tip with the total bill and you would get $41.04.

100 POINTS 100 POINTS!
100 points means
- No Decimal answers
- No unhelpful answers
- No spamming

Answers

Answer:

Step-by-step explanation:

As each step has the same depth and rise, they are respectively 1.2/4=0.3m and 1.8/4=0.45m.

Dividing the steps along the dotted lines, the total rise of the 4 concrete steps  = (1+2+3+4)*0.45

= 4.5m

Total concrete volume = total rise * depth * width

= 4.5*0.3*1.8

= 2.43m^3

Answer:30

Step-by-step explanation:

Select all the equations that represent functions that are non-linear.
A. y = x
B. 2y = 1/2x
C. y = 8 + x
D. y - 6 = x^2
E. y= 1/3-5x
F. y= 2x^2 + 5 - 3x^2​

Answers

Answer:

D, F.

Step-by-step explanation:

D and F contain x^2.

The figures are similar. Find X​

Answers

Answer:

hi

Step-by-step explanation:

i think so

hope it helps

have a nice day

If an item is on sale for 60% off, that means you actually PAY _____% of the price.

Answers

Answer:

40%

Step-by-step explanation:

100-60=40

​
please whats this?

Answers

Answer:

5 ³⁄₁₀ or ⁵³⁄₁₀

Step by step explanation:

Answer:

[tex]5 \frac{3}{10}[/tex]

If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?

Answers

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.

solve the inequality

Answers

Answer:

I think hamburgers=12

Step-by-step explanation:

Please help no links

Answers

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?

Answers

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

PLEASE HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?

Find the area of the triangle shown
6 cm
8 cm
O 48 cm squared
O 24 cm squared
O 14 cm squared
O Not here

Answers

24 cm squared because area of a triangle is A=bh/2. 6 x 8 = 48, 48/2=24

I need help with this question

Answers

Answer:

286 Degrees

Step-by-step explanation:

A circle is 360 degrees, and from the question, we know that it is asking for ACB, so it would be 360 - 74, which is 286 degrees

Brainliest Maybe?

You r going to have to do 360 - 74 and u get ur answer

Help. I need help asap

Answers

Answer:

sorry

Step-by-step explanation:

i can't understand your question

there is no clarity

PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!

The picture shows the question, tables, and multiple-choice answers.

Love you, tysm, happy tuesday <3

Answers

-2 would be your answer

a parallelogram has one angle that measures 65 what are the other three angles

Answers

Answer:

Step-by-step explanation:

65,115,115

Use The Figure Below to Solve For x.

Answers

Answer:

x=-1

Step-by-step explanation:

Hello there!

The information we are given:

We are told that the distance from point a to c is x + 10

We are told that the distance from a to b is 5

we are also told that the distance from b to c is 2x+6

Because from point A to B and B to C is inside the total of A to C we can add the two together and create a equation to solve for x

so the sum of the two parts 5 + 2x + 6

*combine like terms*

11 + 2x

is equal to the total distance (x+10)

now we solve for x

11 + 2x = x + 10

step 1 subtract x from each side by

2x - x =  x

x -x cancels out

now we have 11 + x = 10

step 2 subtract 11 from each side

11-11 cancels out

10 - 11 = -1

we're left with x = -1

Now lets plug in x and see if A to C is equal to A to B + B to C

(-1) + 10 = 5 + 2(-1) + 6

10 - 1= 9

2*-1=-2

6-2=4

4+5=9

9=9

which is true so we can conclude that x = -1

Rob bought a hat and 3 shirts for $35. Dan bought 2 hats and a shirt for $20.

Which system of equations can be used to find s , the cost of one shirt, and h , the cost of one hat?

Answers

Answer:

1 shirt costs $11.2 1 hat costs $10.

Step-by-step explanation:

35 divided by 3

20 divided by 2

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