Answer:
A = 105 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A =
[ (b₁ + b₂)h ]
where h is the height and b₁, b₂ the parallel bases
Here h = 5 , b₁ = 24 and b₂ = 18 , then
A =
[ (24 + 18)5 ]
=
(42 × 5)
=
× 210
= 105 cm²
It is important to note that all the information's required are already given in the question
Probability that a day will be hot = 0.15 + 0.10
= 0.25
Probability that a day will be sunny = 0.15 + 0.30 + 0.10
= 0.55
Adding the above two probabilities, we get = 0.25 + 0.55
= 0.80
Now
Probability that a day will be both hot and sunny = 0.15
So
Probability that a day was hot or sunny = 0.80 - 0.15
= 0.65
I hope the procedure is clear enough for you to understand.
Answer:
x = 0
y= -3
Step-by-step explanation:
x = y + 3 into the equation y = -4x - 3, so
y = -4(y+3) - 3
y = -4y - 12 - 3
y = -4y - 15
5y = -15
y = -3
Then, you can substitute this into the equation x = y + 3

The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>




Point-slope intercept formula:

and 
Substitute these in the formula, we get



Add 8 on both sides of the equation.


Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16