The base of an isosceles triangle is five and it’s perimeter is 11.The base of a similar isosceles triangle is 10.What is the pe
2 answers:
You might be interested in
Answer:
y = 1.1
Step-by-step explanation:
Proportion is a statement that two ratios are equal.
It can be written in two ways:
- Two equal fractions
=
- Two equal sides a: b = c: d.
We can use cross products to find a missing term in it.
Let us solve the question
∵ The proportion statement is =
→ Use the cross multiplication to find y
∵ y × 15.4 = 7.7 × 2.2
∴ 15.4y = 16.94
→ Divide both sides by 15.4 to find y
∵ =
∴ y = 1.1
<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>
The picture of the calendar is shown in the attached image.
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)