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
avanturin [10]
3 years ago
15

The base of a triangle is seven less than twice its height. If the area of the triangle is 102 cm2, find the length of the base.

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

17 cm

Step-by-step explanation:

Area = 1/2(base)(height)

the base is seven less than twice the height, so

b = 2h-7

try to substitute for one of the variables, because it is much easier to solve for them.

b = 2h-7

b+7 = 2h

(b+7)/2 = h

Area = 102

102 = 1/2(b)(b+7)/2

408 = (b)(b+7)

408 = b^2+7b

b^2+7b-408=0

(b+24)(b-17)=0

b = -24 or b = 17

since length can't be a negative number, the length of the base is 17 cm

Shalnov [3]3 years ago
5 0

Answer:

195

Step-by-step explanation:

You might be interested in
The difference of four times a number and nine is 27. Find the number.
Dmitry [639]
Answer: the number is 9

Explanation:
4x - 9 = 27

Add 9 to both sides:
4x = 36

Divide both sides by 4:
x = 9

3 0
3 years ago
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the nint
dsp73

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

7 0
4 years ago
Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,
vichka [17]
K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
k=8
5 0
4 years ago
The function y=60/x relates y, the time in hours that it takes micheal to travel to his grandparents house,to x , his average sp
Andrews [41]

Answer:

60 represents the distance

Step-by-step explanation:

Given : y is the time in hours that it takes Micheal to travel to his grandparents house,

            x is his average speed in miles per hour.

To Find: What does the number 60 represents

Solution :

Time= y

x = speed

So, To find distance we will use formula :

Time = \frac{Distance}{Speed}

y = \frac{Distance}{x}  -- A

Given function: y = \frac{60}{x} --B

On comparing A and B

Distance = 60 miles

So, 60 represents the distance .

7 0
3 years ago
Read 2 more answers
Can u HELP me on all
Alekssandra [29.7K]
How many are there because there is no pic

3 0
3 years ago
Other questions:
  • Please help me?????I did something like this in School but I forgot my notebook
    14·1 answer
  • If a job pays $45,000 per year, you live in a state where our total tax burden is 22% and you recieve a weekly paycheck, what is
    13·1 answer
  • What’s |z-15|+5c+j z=10 c=-2 j=-4
    9·1 answer
  • 256= blank exponent 4
    13·2 answers
  • Can someone help me , please
    11·1 answer
  • 60 over 100 as a decimal
    6·1 answer
  • A man purchased a magazine at the airport for $ 2.79 .
    13·1 answer
  • Guys please answers only no links
    9·1 answer
  • What is the answer I need it plzz
    10·2 answers
  • Six times a number w is at least -24
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!