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
Maru [420]
3 years ago
11

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

meters, what is the length of the base, in centimeters?
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

You might be interested in
Write twenty eight and sixty five thousandths as a decimal!
tangare [24]

Answer:answer is 28.00065 hope this helps



Step-by-step explanation:


3 0
2 years ago
1. ARCHAEOLOGY While digging a hole to plant a tree,
klio [65]
2(pi)r

2(pi)0.75
Circumference is 4.71.
7 0
2 years ago
15y +5x- 7y+1x-3y i need help
vladimir2022 [97]

Answer:

simplify the expression: 6x+5y

Step-by-step explanation:

8 0
2 years ago
Seven of the 30 Apple computers have specialized movie editing software. Approximately what percent of the Apple Computers can b
yulyashka [42]
23.3333333 percent repeating.

7/30=23.3333
8 0
3 years ago
Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia’s age.
-BARSIC- [3]
8-y
Hope this helps and please mark brainliest.
6 0
2 years ago
Read 2 more answers
Other questions:
  • AWNSER PLS AM A IDIOT
    6·2 answers
  • In the last year a total of 2783 earthquakes occurred in the country. Of these, 85.8% were minor tremors w/ magnitudes of 3.9 or
    14·1 answer
  • What the answers for this i dont get it
    8·1 answer
  • Find m<br> A. 12<br><br> B. 22 <br><br> C. 52<br><br> D. 38
    8·1 answer
  • Please help me answer all of 4 and 6 :)
    10·1 answer
  • You bought new earphones at Target for $25.97. They charged a 6% sales tax. What was the TOTAL amount INCLUDING tax on the earph
    11·1 answer
  • Dave buys 18 bunches of bananas for $9 for the after school program. Determine how much Patrick will pay for 8 bunches of banana
    12·1 answer
  • Slope intercept form stations
    11·2 answers
  • The endpoints of segment AB are A (-8,4) and B (10,6). What are the coordinates of M, the midpoint of segment AB?
    12·2 answers
  • Refer to Table 24-1. If Year 1 is the base year, then the inflation rate in Year 2 was
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!