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]
2 years ago
9

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

Mathematics
1 answer:
Elis [28]2 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
What is the answer of -2 < 5 - k ÷ 2
Vera_Pavlovna [14]

Step-by-step explanation:

- 2 < 5 -  \frac{k}{2}  \\  - 7 <  -  \frac{k}{2}  \\  \frac{k}{2}  > 7 \\ k > 14

3 0
3 years ago
Can someone please explain how the answer to this is, "19 and 3", "1 and 12"
Makovka662 [10]

Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

<h3>What are Alternate Exterior Angles?</h3>

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

Learn more about Alternate Exterior Angles from

brainly.com/question/2398628

#SPJ1

5 0
1 year ago
What is the domain and range?<br>​
fgiga [73]

Answer:

Answer:The domain is all the values that go into a function.and the range is all the values that come out.

6 0
3 years ago
I could really use some help
laila [671]
The sequence is increasing by the previous number multiplied by negative 3       (x -3). With this information, the correct answer would be A. -648, 1944, 5832
5 0
3 years ago
Read 2 more answers
Each sister in the Johnson family owns one of these fish tanks. Each tank is shaped like a rectangular prism. They want to combi
Vilka [71]

Answer:

B.)536 cm^{3}

Step-by-step explanation:

Find the volume of all the fish tanks.

Green fish tank...

4 x 9 x 6 = 216

Brownish fish tank...

4 x 4 x 8 = 128

Orange Fish tank...

6 x 4 x 8 = 192

Since we are COMBINING the fish tanks, we add the volumes.

216 + 128 + 192 = 536

536 cm^{3}

Hope this helped! Please mark as brainlies! Thanks!

7 0
3 years ago
Other questions:
  • Answer both questions please
    9·1 answer
  • A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401(k) plan. If his employer m
    8·1 answer
  • A 180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is s
    7·1 answer
  • How do I subtract a whole number from a fraction
    7·1 answer
  • Either the numbers add to 6, or they add to 11, or at least one of them is 1.
    9·1 answer
  • Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
    5·2 answers
  • What is the slope from 0 to 1 seconds?
    13·1 answer
  • 70%70, percent of a certain species of tomato live after transplanting from pot to garden. Najib transplants 333 of these tomato
    8·2 answers
  • Which value from the set {3,10,90,108} will make the equation 3x + 3 = 33 true ?
    15·1 answer
  • Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!