True
11 is √121
12 is √144
So √131 is in between 11 and 12
The answer is 11.2
The Pythagorean Theorem says
a^2+b^2=c^2
From the picture, we know one side, and the hypotenuse.
10^2+b^2=15^2
100+b^2=225
b^2=225
Sqrtb^2=sqrt225
b=11.18
Rounded to the nearest tenth it is 11.2
Answer:
A.
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.
Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.
Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
Answer:
45,489.6 pounds!
Step-by-step explanation:
To solve this problem, first we need to find the volume of the pool.
We know that the dimensions of the pool are:
Width = 9ft
Length = 18ft
Height = 54in = 4.5 ft
So the volume of the pool is:
Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3
We know that one cubic foot of water weights about 62.4 pounds. To fill the pool, we will need 729ft^3 of water.
So the weight of the water is:
Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!
Given is a modulus function |f(x)| that gives absolute value of the signed number written inside it.
For example |x|=2 means x = 2 or -2.
If the absolute value modulus function is zero ( i.e. |f(x)| = 0), then the expression inside the modulus function must be zero as well. It means f(x) = 0.
Now we have |a| = 0. So the possible solution of |a| = 0 must be {0}.
Hence, the answer is {0}.
