MATHEMATICS HIGH SCHOOL

The height of a triangle is 4 feet more than four times the length of the base. The area is 24 square feet. Find the base and the height. Show your work and explain the steps you used to find the solution in order to receive full credit.

Answers

Answer 1
Answer: Use the given information to create equations to help solve the problem.
H= 4+ 4B
A=24 square feet

Know that the area of a triangle formula is 1/2 x b x h.
A=1/2 x b x h

Plug in the known values and solve for the base.
24= .5 x B x (4+4B)
48=B(4+4B)
48=4B+4B^2
12= B + B^2
0=B^2 + B -12
0=(B+4)(B-3)
B= -4, 3

This solution gives us two answers, so plug both into the formula to find the correct answer.
24=.5 x -4 x (4+4(-4))
48= -4 x (-12)
48=48

24= .5 x 3 x (4+4(3))
48= 3 x (4+12)
48= 3(16)
48=48

It looks like both work, so either answer is correct.


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MIDDLE SCHOOL

A square has an area of 36cm2. What is the perimeter

Answers

What times what = 36 like two of the same numbers. then multiply that number by 4 for the number of sides and u get the perimiter. (sry if confusing so ill explain that 6×6=36)
Square root of 36 =6. Squares have all same side lengths
COLLEGE

Ralph sold brownies for $0.20 a piece in order to buy baseball cards. If the cards cost $0.36 per pack, and Ralph had no money left over after buying them, what is the least number of brownies he must have sold?

Answers

Nine brownies because he could buy 5 packs of baseball cards with $1.80 and sell 9 brownies to get $1.80 
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5 questions for algebra: 1. Solve for r.
s=2πrh
_______________________________
A. 2πsh=r
B. s2π=r
C. s2πh=r
D. s2=r

2. Solve for c.
a(b − c)=d
___________________________
A. c=ab − d
--------
b
B. c=ab + d
---------
a
C. c=d − ab
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a
D. c=ab − d
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a
3. Solve for q.
s = 4p + 4q
_________________
q= s − 4p
q= s − 4p
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4

q= 4p − s
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4

q= s − 4p
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p
4. For a trapezoid, the following formula relates the area A, the two bases A and B, and the height H.
A=(a+b)2h
Solve for a.
A. a = 2A − b
---------
h
B. a= 2A/h + b
C. a= 2A/h − b
D. a= Ah/2 − b
5. The formula for the perimeter of a rectangle is P=2(l+w).
Solve for l.
l= p/2 − w
l= P/2 + w
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l= 2P − w

Answers

A=db−c1.h=s6.283185r

MIDDLE SCHOOL

a > -5.find 3 solutions for this inequality and find 3 numbers that are not solutions of this inequality .please show work

Answers

A= 1,2 or 3 
A does not equal: -5 -6 -7 
1 2 and 3 are numbers larger than -5
-5 -6 and -7 are numbers lower than -5
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