Answer:
x is 3
and
y is 3
Step-by-step explanation:
(2*3)+(3*3) = 15
6+9 = 15
Answer:
Height of a cell tower is, 30 m
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
As per the given statement:
Let height of a cell tower be h.
Height of a pole = 3m ,
Shadow of a pole = 4 m and
shadow of a cell tower = 36+4 = 40 m
By definition of proportion;

Substitute the given values we get;

by cross multiply we get;

Divide both sides by 4 we get;
h = 30 m
Therefore, the height of a cell tower is, 30 m
Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
___
Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Answer:
2.92 × 10⁹
Step-by-step explanation:
im not exactly sure if im right but this is what i know, lmk if its wrong
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.