<h3>There is only one way to score an 18, because all the questions need to score a three, but with 17, any of the questions can score a 2, but only one, the rest must still score a three. there are six ways because there are six questions. it is only a matter of choosing which one. Similarly with 16, but a little more complicated. the ways to get a 16 are, get a two on two questions, or get a one on one question. the ways to get a one are the same as the ways in getting 17, six ways. the ways to get a two on two is to take the six questions and choose the two that receive a two. that is 6 choose 2, or 15 ways so, a student can get a 16 on the test 15+6=21 ways.</h3>
<span> (4,-2) (-3,2) (3,4) (1,1)
In reality, it is already a function, because for every x only one corresponding value of y.
We do not see any repeating values of x, so this set is already function. We do not have to remove anything.</span>
A=πr²
A=π·(14mm)²=196π mm²
The <u>correct answer</u> is:
20 feet.
Explanation:
48 ft would be the measurement of the base of the right triangle formed by the flagpole and the ground. We are trying to find the height of the flagpole, which is the other leg of this right triangle.
The measurements we have for the second triangle are 5 and 12. Since she is 12 feet away from the mirror, the base of the triangle is 12. Her eye level is at 5 feet, so this is the height of the triangle.
Since we know these triangles are similar, we can use proportions to solve this. 48 is to 12 (base is to base) as the unknown height is to 5 (height is to height):
48/12 = x/5
Cross multiply:
48*5 = 12*x
240 = 12x
Divide both sides by 12:
240/12 = 12x/12
20 = x
The unknown height is 20 feet.