1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pachacha [2.7K]
2 years ago
11

The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base

and height.
Mathematics
1 answer:
Galina-37 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

You might be interested in
A company has 10 trucks. A truck has 15 pallets. A pallet has 7 boxes. A box has 50 containers. A container has 3 plastic bags.
Oliga [24]

Step-by-step explanation:

5160 In two trucks they have a 50 specimen , 10 , 20

6 0
2 years ago
An event lasts 4 hours and 20 minutes. How long did the event last in seconds?
enyata [817]
20*6=120seconds +3600second in an hour so 3600*4=14400

1210+14400=14520

14520 is the answer I hope this helps!


8 0
3 years ago
Read 2 more answers
Shakila bought a purse for $120. the tax rate is 9%. what is the total amount Shakila paid?
olga nikolaevna [1]
Shakila paid $130.80 in total.
Explanation: 120*1.09=130.80
7 0
3 years ago
Find the surface area of the prism.
navik [9.2K]

Answer:

I cant see it ill go on your page when you post it with the picture.

6 0
2 years ago
Read 2 more answers
Under his cell phone plan, Cameron pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 pe
hammer [34]
Answer- 512 (hope this helps)
6 0
3 years ago
Other questions:
  • Help Please?? 12. Of the following, which one is an observational study? A. Asking hearing-impaired people to try a new style of
    13·2 answers
  • What is the quotient (x^3-3x^2+3x-2) ÷ (x^2-x+1)​
    14·1 answer
  • What happens to your survivor his her family
    14·1 answer
  • The value of x!!!!!!!!!!!!!!!!
    5·1 answer
  • guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. which graph represents the set o
    10·2 answers
  • Adrian has a points card for a movie theater.
    13·1 answer
  • I've been stuck on this equation for so long! I need help<br> 2/3 (9 + x) = - 5(4 -x)
    10·1 answer
  • Choose ASA, SAA, or neither<br> to describe this figure.<br> A<br> B<br> ASA<br> SAA<br> neither
    7·1 answer
  • 3 greater than are less than 6/4​
    6·2 answers
  • I WILL GIVE YOU BRAINLIEST AND I WILL PAYPAL YOU 5 BUCKS, PLEASEE JUST SOMEONE ANSWER THIS QUESTION FOR ME
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!