Answer:
A: 3/4
Step-by-step explanation:
sine is the length of the opposite side / length the hypotenuse side
cosine is the length of the adjacent side / length the hypotenuse side
using what's given:
- the opposite side has a length of 3
- the adjacent side has a length of 4
- the hypotenuse side has a length of 5
Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.
Answer:
1. 2^9 = 512
2. 2^3 = 8
3. 7^3 = 343
4. 6^3 = 216
5. 3^6 = 729
Step-by-step explanation:
To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power
1.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
2^9 = 512
2.
2 x 2 x 2 = 8
2^3 = 8
3.
7 x 7 x 7 = 343
7^3 = 343
4.
6 x 6 x 6 = 216
6^3 = 216
5.
3 x 3 x 3 x 3 x 3 x 3 = 729
3^6 = 729
Answer:
Translate ABCD down 1, then reflect it over the y-axis
and
Reflect ABCD over the y-axis, then translate down 1
Step-by-step explanation:
First of all, the two steps are the same, just in a different order
Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image
Answer: The value of cos theta is -0.352.
Step-by-step explanation:
Since we have given that
We need to find the cos theta between u and w.
As we know the formula for angle between two vectors.
So, it becomes,
Hence, the value of cos theta is -0.352.