Answer:
The value of x = 20
Step-by-step explanation:
Given:
∠BOC = 3x - 15
∠COD = 2x + 5
Find:
The value of x
Computation:
⇔ ∠BOC + ∠COD = 90
⇔ 3x - 15 + 2x + 5 = 90
⇔ 5x - 10 = 900
⇔ 5x = 90 + 10
⇔ 5x = 100
⇔ x = 100 / 5
⇔ x = 20
The value of x = 20
Answer:
A
Step-by-step explanation:
So we have the equation:
First, let's subtract 16 from both sides:
Now, let's divide both sides by 3:
Remember that with fractional exponents, we can move the denominator into the root position. Therefore:
![(\sqrt[3]{x-4})^4=16](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx-4%7D%29%5E4%3D16)
Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!
![\sqrt[3]{x-4} =\pm 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-4%7D%20%3D%5Cpm%202)
Cube both sides. Since we're cubing, the plus-minus stays.
Add 4 to both sides.
Calculator:
So, our answer is A.
And we're done!
Answer: 6
Step-by-step explanation:
From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records 60% more songs than they expect to put on the CD. Therefore, the total songs will be:
= 15 + (60% × 15)
= 15 + (0.6 × 15)
= 15 + 9
= 24 songs.
During the editing process, 75% of the songs are removed. The total number of songs that will be there on the final CD will be:
= 24 - (75% × 24)
= 24 - (0.75 × 24)
= 24 - 18
= 6
6 songs will be there on the final CD.
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Parameters to describe the movement
