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
Maria has 3.9 meters of ribbon. She is making bows that use 0.15 meter of ribbon per bow. How many bows can Maria make?
zzz [600]
Maria can make 26 bows
7 0
3 years ago
The sum of a number and seven is less than 12
marin [14]

Answer:

Step-by-step explanation:

X+7 < 12

3 0
2 years ago
What is the area of the parallelogram shown?
inna [77]
Area of the parallelogram
9 x 5
=45 cm squared
4 0
3 years ago
Read 2 more answers
What’s the answer to A
antoniya [11.8K]

Answer:

a=65, m=−1

a=65, m=1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How do i solve for x if 6x - 6 - 7x =6
Dmitry_Shevchenko [17]

Answer:

X = 12

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -x - 12  =   -1 • (x + 12)

Equation at the end of step  1  :

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    -x-12 = 0

Add  12  to both sides of the equation :

                     -x = 12

Please said thanks

7 0
3 years ago
Read 2 more answers
Other questions:
  • Imani’s rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase from $825 to 875. Who ha
    15·1 answer
  • Simplify -(-7y+12) and explain
    15·2 answers
  • Help pleaseee !! :(((
    8·1 answer
  • Which of theses measurements could describe the volume of a prism? Select all that apply.
    5·1 answer
  • Si tienes 24 tubos de 6 metros de longitud cada uno para unir dos puntos que conducen agua , si los tubos fueran de 8 metros ¿ c
    9·1 answer
  • Tina used 10 1/2 yards of yarn to make three yarn dolls. She used 4 1/2 yards of yarn for the first doll and 2 1/9 yards for the
    9·2 answers
  • Find the surface area of the ball shown. Use 3.14 for pie.
    12·1 answer
  • Select all the points that are on the graph of 3 + 2 = 24
    7·1 answer
  • Find the equivalent expression for (30 + 6) / 12
    13·1 answer
  • 4x + y s8<br> yz - 4x - 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!