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
max2010maxim [7]
2 years ago
12

The base of a triangle is 4 meters shorter than the height. What are the height and length of the triangle if its area is 48 squ

are meters? *
Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer: H=12 and B=8

Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.

Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>

2.<em> </em>Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.

Hope this helps,

Lacia :))

You might be interested in
Chivis Mexican restaurant pledges 12% of any food purchased on the thrid Wednesday of each month to the cystic fibrosis foundati
Dmitrij [34]

Answer:

food purchased= $9,600

Step-by-step explanation:

Giving the following information:

Chivis Mexican restaurant pledges 12% of any food purchased

Minimum donation= $1,152

<u>To calculate the food to be purchased, we need to use the following formula:</u>

Donation= food purchased*0.12

1,152= food purchased*0.12

1,152/0.12= food purchased

food purchased= $9,600

3 0
3 years ago
What are exponents??????​
xxTIMURxx [149]

Answer:

a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

6 0
2 years ago
Please help me ASAP
Colt1911 [192]
First,let's find the slope-intercept form of equation which is y=mx+b, where y and x are coordinates, m is the slope and ,c is the y-intercept
y+6.75=0.25(x-1)                                                   y=0.25(2)-6.5
y+6.75-6.75=0.25x -0.25 -6.75                            y=-6
y=0.25x-6.5   
(2,-6)  is the only correct answer I think is on the line with this equation.

7 0
3 years ago
Read 2 more answers
Tami has a new pet crate for her dog. The length of the crate is four feet. The rectangular floor area of the crate is 1023 squa
Anit [1.1K]

Answer:

255.75 feet or 255\frac{3}{4} feet

Step-by-step explanation:

area of a rectangle / length = breadth

1023 / 4 = 255.75 or 255\frac{3}{4} feet

6 0
2 years ago
2(4x - 12) + 3x = 6x + 1<br><br> help!! ahh
Anuta_ua [19.1K]
<span>2(4x - 12) + 3x = 6x + 1

Distribute.

8x - 24 + 3x = 6x + 1

Combine like terms.

11x - 24 = 6x + 1

5x = 25

x = 5

</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • you have recently taken a loan out in the amount of $210,000 for a new home. you place 10% down and finance the remaining balanc
    12·2 answers
  • M is directly proportional to r3<br>When r = 4, M = 160<br>a) Work out the value of M when r = 2.​
    13·2 answers
  • Calculate the area of this triangle.<br>14 cm<br>18 cm​
    8·1 answer
  • Finding factors of a number
    8·1 answer
  • Please help me I am in need of help!
    15·2 answers
  • Divide the number by 3 and adds 2
    7·1 answer
  • If ab perpendicular to cd and the slope of ab = 1 over 2 then the slope of cd =
    5·1 answer
  • The 4th term of a sequence is 8 and the 6th term is 18. The sequence is either arithmetic or geometric. Which of the following c
    14·1 answer
  • Please help me with this
    15·1 answer
  • (x^2-3x+2)^2 - 4x + 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!