(5x+7) + (8x-21) = 90
13x-14 = 90
13x= 104
X=8
The angle measurements are 47, and 43
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
Probability:
10.34% probability that you both pick chocolate
9514 1404 393
Answer:
13.3 m
Step-by-step explanation:
Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...
A = LW
83 = (d -2)(d -6) = d² -8d +12
71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way
d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square
(d -4)² = 87 . . . . . . . write as a square
d -4 = √87 . . . . . . . positive square root
d = 4 +√87 ≈ 13.3 . . . . add 4
The diagonal is about 13.3 meters long.
_____
<em>Additional comment</em>
If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. <em>The geometry described here is impossible</em>. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².
It should be B. The dash-line triangle is half the size of the solid-lined triangle. You can find the scale factor by finding the ratio between the side lengths of the two triangles. The scale factor in this case is 2 because you are reducing thr solid-lined triangle by one half. If you are reducing by a fraction, it means that you are enlarging be the reciprical of the fraction. As reducing implies division and dividing a fraction is equivalent to multiplying by the reciprical. Thus the correct answer is B.
Answer:
2/3 or 2 over 3
Step-by-step explanation:
4 over three means 4 pieces out of 3. 4 pieces divided by 2 is 2 pieces.