Answer:
0.2 centimeters
Step-by-step explanation:
Strategy 1:
Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters
First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.
Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm
Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so 2/10=0.2 cm
When two graphs intersect, it means something in real-life:
The baseball's flight path and the bird's flight path intersect.
Therefore, the baseball hits the bird. (Technically, we can see that the baseball would hit the bird twice, but this is not likely.)
Answer:
x = -3
Step-by-step explanation:
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:

To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.