Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,
where a and b are legs, and c is the hypotenuse of a right triangle.
So
30. The probability of drawing a red 1 is 
(a red star 1 or a red heart 1), the probability of drawing a black 3 is (a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is 
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,
Answer:
x=1, y=2
Step-by-step explanation:
solve by substitution so substitute x= 6y-11 in the next equation
3 (6y-11) - 2y = -1
18y -33-2y = -1
16y = 33-1
y= 32/16 =2
x= 6y -11 = 6*2 -11 = 12 -11 = 1
The exponential equation that models this situation is:
.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are:
A(0) = 18000, r = 0.15.
Hence the equation for the value of the car over the next 5 years is:
.
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1
Answer:
this answer requires that you do a little solving to find all the dimensions we need for the volume.
We know that H (height) = 2m
Diameter = 5 x height, so
Diameter = 5 x 2m = 10m
If you have the formula for finding the volume of a cylinder, it is basically the area of the circular base x cylinder height. You may know already that the area of a circle is (pi) x radius2
So this will be 2 (the height) x (pi) x r2
As we just figured out, the DIAMETER is 10, so the radius is half the diameter = 5.
This brings our volume to 2 x (pi) x 52
= 2 x (pi) x 25
2x25 = 50, so we have 50 x (pi).
Pi = 3.14
50 x 3.14 = 157
And don't forget your units = 157 m3
Answer
10a mean 10 x a
Find the number when you times gives you 100,000
a= 10,000
