Find the area of an equilateral triangle of perimeter 30 cm
Answers
Answer:
43.30cm²
Step-by-step explanation:
Use Herons formula
S = (a+b+c)÷2
Where a, b, c is the sides of the triangle
If perimeter is 30cm
Since it's an equilateral triangle, all sides are equal.
Then
Perimeter = 3a = 30
a = 30/3 = 10cm
b = 10cm , c = 10cm
Therefore ,s= (10+10+10)÷2 = 30÷2 = 15cm
From Herons formula
Area = square root of s(s-a)(s-b) (s - c)
Area = sq rt 15(15 - 10)(15 - 10)(15 - 10)
Area = sq rt 15.× 5 × 5 ×5
Area = sq rt 1875
Area = 43.30cm²
I hope this was helpful, please rate as brainliest
Answer:
≈ 43.3 cm²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = ( s is the side length )
The 3 sides of an equilateral triangle are congruent, thus
s = 30 ÷ 3 = 10 cm
A = =
= 25
≈ 43.3 cm²
Related Questions
What is the greatest common factor of 32 and 48
13. Beth has a wooden box. The inside of the box is 5 inches wide, 8 inches long, and 4 inches deep. The box has no top. Beth wants to line the box with felt to protect the items she puts in the box. How many square inches of felt will she need?
How to do −8n+4(1+5n)=−6n−14 and must show all your steps
david spent 2/5 of his money on a storybook. The storybook cost $20. How much money did he have at first
Answers
Answer:
length = 10
width = 5
Step-by-step explanation:
So first you divide 8 from 400 which equals 50.
Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.
So the length is 10
and the width is 5
Final answer:
Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.
Explanation:
In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.
From the given volume formula, we have:
Length x Width x Height = Volume
Substituting the values, we get:
2w * w * 8 = 400
Solving this equation, we find:
w^2 = 25
Taking the square root of both sides, we get:
w = 5
Substituting w=5 into 2w, we find the length:
Length = 2*5 = 10
So the width of the container is 5 feet and the length is 10 feet.
Learn more about Volume of a Rectangular Prism here:
-x-7=-12
Solve the equation using the balance method
Answers
-10=2(-3x+1)
divide BOTH SIDES by 2 to get rid of that 2 in front
-5=-3x+1
minus BOTH SIDES 1
-6=-3x
divide BOTH SIDES by -3
2=x
-x-7=-12
add7 BOTH SIDES
-x+7-7=-12+7
-x+0=-5
-x=-5
multiplY BOTH SIDES -1
x=5
Answers
Answer:
8.5 to the 4th power
the area is 34.
Answers
Final answer:
The equivalent multiplication expression for 3^3 without using exponents is 3 x 3 x 3. Exponentiation is a mathematical operation in which the base number gets multiplied by itself as many times as specified by the exponent.
Explanation:
The expression
3^3
in mathematics is essentially stating that the number 3 should be multiplied by itself twice. So, without using exponents, an equivalent multiplication expression would be
3 x 3 x 3
. This is because exponentiation is a mathematical operation in which the base number gets multiplied by itself for the number of times specified by the exponent.
Learn more about Exponentiation here:
#SPJ2
Answer:
3 times 9
Step-by-step explanation:
3^3 = 3*3*3 = 27 = 3*9
Answers
A is rational
B is irrational
Product of a and b is irrational.