Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Answer: I think that it's not One but It's <u><em>ZERO</em></u> because a tangent line can only touch the circle at one point and if it touches the small circle once it would have to go through the larger one twice.
Edit: I just checked and it's definitely<u><em> ZERO</em></u>
The correct question is
<span>The radius of a cylinder is 5" and the lateral area is 70pi sq. in. Find the length of the altitude.
</span>
we know that
[surface lateral area]=(2*pi*r)*height
height= [surface lateral area]/(2*pi*r)
surface lateral area=70*pi in²
r=5 in
so
height= [70*pi]/(2*pi*5)------> 7 in
the answer is
7 in
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
