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
a 5-liter cleaning solution contains 30% bleach. a 3-liter cleaning solution contains 50% bleach. what percent of bleach obtaine
vladimir1956 [14]

Answer:

First find the 30% of 5-liter cleaning solution.

3/10*5L=1.5L

We know 50% of 3L is 1.5.

If we add, the two bleach percentages, we get 3L of bleach.

When we add the two containers of cleaning solution, we get 8L.

The percentage of bleach in the mixture will be the ratio 3/8 expressed as a %.

3/8*100=37.5% of the cleaning solution will be bleach.

Answer: 37.5%

4 0
3 years ago
The graph of the function f(x) = (x +2)(x + 6) is shown below. What is true about the domain and range of the function? The doma
Vinil7 [7]

the answer is The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

10 0
3 years ago
Read 2 more answers
The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?
nalin [4]
The axis of symmetry would be -3 because it is always the (x) of the vertex
5 0
2 years ago
If an item is discounted 25%, the sale price is what percent of the original price? (Hint what percent are you paying?)
poizon [28]

Answer:

75%

Step-by-step explanation:

Percent means out of 100

so 100-25= 75

3 0
3 years ago
Three times a number plus five equal twenty
Bezzdna [24]
Let the number be x
3x + 5 = 20
3x = 20 - 5
x = 15/3
x=5
3 0
3 years ago
Other questions:
  • Marissa got an 85 on her math quiz she got 34 questions correct how many questions are on the quiz
    11·1 answer
  • In one month, Jillian made 36 local phone calls and 20 long distance calls.
    6·1 answer
  • Factor the expression. d2 + 12d+ 36
    6·1 answer
  • Whats 1+8............ ... ​
    11·1 answer
  • How does the graph of g(x) = (x − 2)3 + 7 compare to the parent function f(x) = x3?
    12·2 answers
  • What is the answer for 3/4 + 1/2 =
    12·2 answers
  • ***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***
    10·1 answer
  • Please help! I will mark as brainliest IF answer is right. <3
    9·1 answer
  • The area of a square is 28cm,what is the lenght of the square​
    6·1 answer
  • Reflect the shape A in the line y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!