To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
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This should be the equation:
n + 4/3n + 5/3n = 90
The radius of the sector of the circle with the given area is: B. 3.
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr².
Given the following:
Area of sector = 9/8 π cm².
∅ = 45 degrees
Plug in the values into the formula
9/8π = 45/360 × πr²
1.125 = 0.125 × r²
1.125/0.125 = r²
9 = r²
r = 3 cm
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That would be C because there are two zeros right?
So you move two decimal places from 67.
And you get 0.67
Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y
Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42
