Answer:
Exact form:
Decimal form:
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
Placing into the desired format, the exact format is:
In the decimal part, we divide 8 by 9. So
Solving for x:
We apply the inverse sine. So
The solution for x is of 10.455º
Answer:
The total number of pages in the e-book is 240.
Step-by-step explanation:
Given:
Logan has completed 75%
Logan has read 180 pages
To Find:
The total number of pages in the e-book= ?
Solution:
Let X be the total number of pages on the e-book
then
=> 75% of X = 180
Now lets find the value of X
X =
X =
X =
X = 240
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = (where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
