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
Please help me <br> thank you
lilavasa [31]
Use the Pythagorean theorem. We have legs with lengths of 15 and 20 miles, now let's solve for the hypotenuse.

a=15
b=20
c=?

a^2+b^2=c^2
15^2+20^2=c^2
c^2=400+225=625
c=25

Your answer is 25 miles. Hope this helps! :)
7 0
3 years ago
VERY EASY HALP PLEASE
Nina [5.8K]
The second option ! 2.54 - 2.3 = 0.24
6 0
3 years ago
Read 2 more answers
What times 3 gives you 16
Margarita [4]
Technically nothing times 3 get you 16 but 3 times 5 equals 15 which is the closest answer but the answer would be 5.3
4 0
3 years ago
Read 2 more answers
There is a bag with 50 popsicles inside. 5
Allisa [31]

Answer:

25%

Step-by-step explanation:

We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.

8 0
2 years ago
Explain the process of setting up the problem 3 divided by 4. Use complete thoughts and sentences to explain your answer.
amid [387]

Answer:

well the three goes inside the division box and the 4 goes in the outside. Then you see how many times 4 goes into 3 which is 0 then you add a zero next to the three and a decimal point in between the 3 and 0. next, you see how many times 4 goes into 30 which is 7 then you subtract 30-28 which is 2 then you add another 0 and see how many times 4 goes into 20 which is 5 times then you get your answer .75

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • A book store was selling 5 books for $27.75. Online the you could buy 6 books for $32.16. Which place has a lower unit price
    13·1 answer
  • Simplify <br> 3 + (-8) -17
    6·2 answers
  • the graph below shows how many gallons of gas are used by a boat when it travels. how many gallons of gas would the boat use to
    10·1 answer
  • Complete the synthetic division problem below -3 1 2 -2 3
    5·2 answers
  • N× $3.25= $325.00<br><br>N=_____<br><br>Please EXPLAIN
    10·2 answers
  • Please help I’m in a timed quiz
    12·1 answer
  • At Westside Middle School, 10 percent, or 140 students, participate in soccer. How many students are in the school? Check all th
    13·1 answer
  • Can anyone help me but also explain this !
    14·1 answer
  • PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST + 25 POINTS!!
    12·1 answer
  • Convert 625 km per 4.33 hours (km/hr) into meters per second (m/s)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!