Positive whole numbers less than 13 are
1,2,3,4,5,6,7,8,9,10,11,12
less than means not including
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
Answer:
Option B.
Step-by-step explanation:
It is given that the new estate will be larger than the original by a scale factor of 1:10.
A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.
Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.
Let be the length of the legs of the triangle for the larger estate.
The hypotenuse of larger estate = 10 × 10 = 100
Using Pythagoras triangle,
Divide both sides by 2.
Taking square root on both sides.
Hence, the correct option is B.
To solve this problem you must apply the proccedure shown below:
1. The problem gives you the following information:
- The circle O has a diameter QS.
- The measure of RSQ is 310 degrees (m∠RSQ=310°).
2. Then, you have that the measure of ∠ROQ is:
∠ROQ=360°-m∠RSQ
∠ROQ=360°-310°
∠ROQ=50°
3. Therefore, as you can see, the answer is: ∠ROQ=50°