This is a 30, 60, 90 triangle. One angle measures 30° and the other measures 90°. The other has to be 60° because all triangles are 180°. These triangles have special rules:
Say the side opposite 30° (in this case, y) is equal to 1
The side opposite the 60° (in this case, x) is equal to √3
The side opposite 90° is 2.
If 16√3 is opposite 90°, then opposite 30° would be half of that. Therefore, y = 8√3.
Now we need to multiply y by √3 to get x, because the side opposite 60° is always that of 30° multiplied by √3.
8√3 * √3 = 24 as the √3s cancel and become 3. So 8 multiplied by 3 makes 24.
Therefore, x = 24.
Answer:9
Step-by-step explanation:
dk
Answer:
I dont know
Step-by-step explanation:
i think its 1.34
GCF is the greatest common factor. its the value of the factors that are common to both the numbers being compared. In other words the product of the factors that are common to both numbers or the greatest factor common to both numbers.
factors of x⁴ = x * x * x * x = (x * x * x) * x
factors of x³ = x * x * x = (x * x * x)
factors common to both are (x * x * x) Therefore GCF is x³
Answer:
-288
Step-by-step explanation:
<h3>Given AP</h3>
<u>To find,</u>
- The sum of first 18 terms
<h3>Solution</h3>
<u>The first and 18th terms as per the formula</u>
- t(1) = 3 - 2 = 1
- t(18) = 3 - 18*2 = 3 - 36 = -33
- S18 = 1/2*18(1 - 33) = 9*(-32) = -288
<u>Answer is</u> -288