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
Bingel [31]
2 years ago
15

The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.

Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

base(b)=10 and height(h)=6

Step-by-step explanation:

From the question,

base(b)=x feet

height(h)=(x-4) feet

Area(A)=30 square feet

Now,

We know,

Area of triangle(A)=1/2*b*h

or, 30=1/2*x*(x - 4)

or, 30=1/2*x^2 -4x

or, 30*2=x^2 -4x

or, 60=x^2 -4x

or, 0 = x^2 -4x -60

or, 0 = x^2 +6x - 10x -60

or, 0 = x(x + 6) -10(x + 6)

or, 0 = (x+6) (x-10)

Either,

x+6=0. or, x-10=0

or,x= -6. or, x= 10

Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet

Lastly,

Height(h)=X - 4

=10 - 4

=6 feet

You might be interested in
6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an
Bas_tet [7]

Answer:

<em>Her rate of change is 75 ft/h</em>

Step-by-step explanation:

<u>Rate of Change</u>

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}

\displaystyle m=\frac{300\ ft}{4\ h}

m=75\ ft/h

Her rate of change is 75 ft/h

3 0
2 years ago
Which trigonometric function best describes the graph below?
yanalaym [24]
The function is the Sine Curve

y = sine (x)
8 0
3 years ago
N-78+_=37_N= WHAT IS N?
Lesechka [4]
115 is n that’s the answer
5 0
3 years ago
A certain type of bacteria doubles in population every 6 hours. There were approximately 100 bacteria at the beginning of the da
Zepler [3.9K]

Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours

5 0
2 years ago
How do you divide fractions
kifflom [539]
Find the reciprocal of the second fraction (flip numerator and denominator's spots) and multiply the two fractions.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x and y (x+yi) + ( 4+9i) = 9-4i
    13·1 answer
  • Please help me with this math problem
    8·2 answers
  • A model plane is 1/48 the size of the actual plane. If the model plane is 28 inches long, how long is the actual plane?
    15·2 answers
  • What is the answer to ....... <br>-6 + 10 + (-7)=?​
    14·2 answers
  • The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the
    6·2 answers
  • Cada CD cuesta $ 5 y usted tiene $ 40 para gastar en CD. Escribe una desigualdad para la cantidad posible de CD que podrías comp
    13·1 answer
  • Ali needs $60 to purchase a flute. She has $32. She can earn $4 an hour babysitting. Which equation could be used to find h, the
    6·1 answer
  • Which of the following equations has the steepest slope?
    7·1 answer
  • PLEASEE ANSWER THIS I BEG ILL ADD U AS BRAINLIST!
    9·1 answer
  • Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!