Answer:
Step-by-step explanation:
Answer:
31/6
Step-by-step explanation:
Write all numbers above the common denominator so 6-5/6
Multiply 6 by 6
Then we have 36 -5 / 6
Subtract the numbers so 36 -5 = 31 and 6 stays the same
We end up with 31/6 or 5 1/6 or 5.16 as Alternative form
The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be
- Multiplying with 360⁰
- Therefore, it can show as ×360⁰
- Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
Given that,
Total number of children = 65
The ratio of boys to girls is 3 :2.
To find,
The number of girls in the grade.
Solution,
Let there are 3x girls and 2x boys.
ATQ,
3x + 2x = 65
5x = 65
x = 13
So, no of girls = 3x
= 3(13)
= 39
Hence, there are 39 girls in the grade.
Answer:
<h3>C. They are both perfect squares and perfect cubes.</h3>
Step-by-step explanation:
Perfect squares are numbers that their square root can be found easily without any remainder.
Given the following patterns;
1*1 = 1 and 1*1*1 = 1
It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1
Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)
Similarly for the expression;
8*8 = 64
8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)
Also 4*4*4 = 64
i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)
The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16
This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.
