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
PolarNik [594]
3 years ago
9

Two triangles have bases with lengths 5in and 8in.

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

You might be interested in
[tex]\sqrt{x} 196<br> can someone help me
Maslowich

Answer:

14

Step-by-step explanation:

√196

Calculate the square root of 196 and get 14.

14

8 0
3 years ago
Read 2 more answers
Which one of these shapes is not like the others?<br><br> Shape A<br> Shape B<br> Shape C
guapka [62]
It is c because b is an enlarged version of a
5 0
3 years ago
Read 2 more answers
PLZ HELP I AM GONNA FAIL JUST EXPLAIN WHAT TO DO ​
Alexxandr [17]
A number cube is a die (singular for dice). List all of the possible outcomes of a die (list numbers of 1 to 6), and next to those numbers, determine if they are even or odd.
8 0
2 years ago
Which graph represents the compound inequality?
jenyasd209 [6]

Answer:

4th option

Step-by-step explanation:

open circle means more than or less than

n is more than -3 but less than 1

7 0
3 years ago
Geometric Series assistance
Levart [38]

we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}

The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

5 0
3 years ago
Other questions:
  • List least to greatest
    6·1 answer
  • I just need question a I don’t understand it and it would mean a lot if you can help me
    5·2 answers
  • An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
    13·1 answer
  • 3/4 ÷ 6 please help me
    11·1 answer
  • PLEASE SOMEONE HELP ME ON 13-14 ITS DUE AT 2 PLEASE SOMEONE PLEASE IM STRESSING I AM STRESSING
    14·1 answer
  • I give crown pls don't put a random answer :-((
    9·2 answers
  • What is the length of EF in the right triangle below? A. 168 B. /324 C. 24 D. 18 E. 527 F. 32​
    6·2 answers
  • I need someone to help me Simplify 7(3n)
    12·1 answer
  • I need this for math thanks
    10·2 answers
  • If 5 woodchucks could chuck 50 cords of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!