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
ICE Princess25 [194]
3 years ago
7

The area of a triangle is 12 in.^2 . The base of the triangle measures 2 in. more than twice the height of the triangle. Find th

e measures of the base and height.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

  base = 8 in; height = 3 in

Step-by-step explanation:

Let h stand for the height of the triangle. Then 2h+2 will be the base length, and the area is ...

  A = 1/2bh

  12 = 1/2(2h+2)(h) = (h+1)(h)

We know that factors of 12 that differ by 1 are 4 and 3, so we conclude ...

  h = 3

  2h+2 = 8

Both dimensions are in inches.

_____

<em>Comment on the solution</em>

If you work through the solution of the quadratic, you find solutions are ...

  h = -4, h = 3

That is, the pairs (-4, -3) and (3, 4) are both pairs of (h, h+1) that have a product of 12.

The negative solution is extraneous.

You might be interested in
Law of radicals
andrey2020 [161]

Answer:

1)  \sqrt{x^7}=x^{\frac{7}{2}

2)  \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}=z^\frac{9}{4}

Step-by-step explanation:

1) \sqrt{x^7}

We know that \sqrt{x}=x^{\frac{1}{2}

So, \sqrt{x^7}=x^{\frac{7}{2}

2) \sqrt[3]{y^5}

We know that \sqrt[3]{x}=x^{\frac{1}{3}

So, \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}

We know that \sqrt[5]{x}=x^{\frac{1}{5}

So, \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}

We know that \sqrt[4]{x}=x^{\frac{1}{4}

So, \sqrt[4]{z^{9}}=z^\frac{9}{4}

6 0
3 years ago
Geometry pls help! im<br> beggingggg!
Fantom [35]

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

3 0
3 years ago
You want to purchase a new car in 55
Tanzania [10]

Answer:

Ans. you should deposit each month to end up with $38,000 the amount of $533.33 every month for 5 years at a APR of 6.5%

Step-by-step explanation:

Hi, first we have to convert all the data to monthly basis, that is, 5 years (5*12=60 months) and the rate of 6.5% APR offered by the bank (Monthly rate = 0.065/12=0,005666667  or 0.5667% monthly)

With that in mind, we need to solve for "A" the following equation.

FV=\frac{A((1+r)^{n}-1) }{r}

Where:

FV = Future value of the car

r = rate of return offered by the bank

n = number of periods that you are going to make the monthly deposit

That is:

38,000=\frac{A((1+0,005667)^{60}-1) }{0,005667}

38,000=\frac{A(0,403599896)}{0,005667}

38,000=A(71,22351103)

A= 533,53

Best of luck.

5 0
3 years ago
8w-7w=20 what does w =
SSSSS [86.1K]

Step-by-step explanation:

8w - 7w = 20

Subtract the common variables together:

8w - 7w = w

w = 20

Hope this helped you!!

A̷l̷i̷s̷h̷e̷a̷♡

7 0
4 years ago
Read 2 more answers
Explain what H means, and why 10H + 6 - 5H + 3 is a simplified expression of <br> 5H + 9 ?
andrezito [222]

Answer: H is the group 10H and -5H is in.

Step-by-step explanation:

When you are doing this equation you classify group by their variables. If they do not have a vairable they are called "constants". It is a simplified version of 5h + 9, this is because of the way you do the problem. You are going to add 3 + 6.  Then you are going to add 10H + ( - 5H ). So you are going to end up with 5H and 9 from your equations. Now you are going to form the equation 5H + 9.

6 0
3 years ago
Other questions:
  • Can someone answer this please?
    8·2 answers
  • If a new data point at 12 is added to the graph, which will be true?
    9·2 answers
  • Classify square root 36 A. Whole Number B. Integer C. Rational Number D. Irrational Number
    8·2 answers
  • Austin is comparing the prices of two truck rental company company charges $4 per hour and an additional $70 as service charges
    9·1 answer
  • Please help me thank u so much
    6·2 answers
  • Please answer this question fast in two minutes
    11·1 answer
  • 3 discounts of30% ,35%, and 20% are applied to an item what will be thetotal percent markdown?
    7·1 answer
  • Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes wi
    5·1 answer
  • Pretty sure its 8 but i just wanna be sure...
    5·2 answers
  • Simplify the following expression: -k - 11 - 2 + 2k​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!