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
vagabundo [1.1K]
3 years ago
7

The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height

of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in
Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

You might be interested in
HELP FOR BREANTEST ANSWER ON PAPER
nevsk [136]

Answer:

3 3/7

Step-by-step explanation:

2 = 14/7

14/7 + 10/7 = 24/7

24/7 simplified is 3 3/7

8 0
3 years ago
Plss help mee answer my homework plss im begging u
vagabundo [1.1K]

Answer:

1.80 2.90 3. 135

Step-by-step explanation:

1. 80°

2. 90°

3. 135°

4 0
3 years ago
Read 2 more answers
In a recent year one United States dollars was equal to about 82 Japanese yen
suter [353]
$8,200
$82,000
$820,000
5 0
3 years ago
The slope of the line below is -2. use the coordinates of the labeled point (4,-6) to find a point - slope equation of the line
devlian [24]

Answer:

A

Step-by-step explanation:

Use the equation y-y1=m(x-x1) and sub in the values of the provided information

3 0
3 years ago
Good morning!
Assoli18 [71]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 2) The integral of a constant follows this rule:

adx = ax

In this case, it is 1dx = 1x

This can be simplified to just x

Add a constant to this, to get the final answer of:

x + C

3) The integrals power rule is:

x^adx = \frac{x^a^+^1}{a +1}

Substitute the values in:

\frac{x^5^+^1}{5 +1}

This can be simplified to:

\frac{x^{6} }{6}

Add a constant to this to get the final answer of:

\frac{x^{6} }{6} +C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
Other questions:
  • A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designe
    14·2 answers
  • Tina has been dieting for a total of 13 weeks. She lost 3 pounds on the first week of her diet, but gained back a pound on the s
    8·1 answer
  • Triangle DEF is congruent to D'EF' by the SSS theorem. Which single rigid transformation is required to map DEF onto D'EF'?
    11·2 answers
  • Recall that a right triangle is a triangle with one right angle.one angle of the triangle measures 89.99 degrees.can the triangl
    9·1 answer
  • The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t
    9·1 answer
  • Find three consecutive integers such that 4 times the least integer is 8 times two less the greatest integer.
    14·1 answer
  • Benson played for 10 minutes after reaching home. He watched television for another 20 minutes before eating his lunch. His lunc
    8·1 answer
  • How is 1/2 and 4/8 equivalent​
    11·1 answer
  • Triangle ABC with coordinates A (3,-2), B (5,5), and C (-4, 2) is reflected across
    14·2 answers
  • 5 hundreds 4 hundredths = blank ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!