Answer:
20 cm
Step-by-step explanation:
We can use ratios to solve
We know x = 7 since they are of equal length
x x+7
----- = -------
10 y
7 7+7
----- = -------
10 y
Using cross products
7y = 14*10
7y = 140
Divide by 7
7y/7 = 140/7
y = 20
Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Step-by-step explanation:
Number 3
cos∅ = adj/hyp
cos35° = 20/x
x = 20/cos35°
x = 20/0.8192
x = 24.4155
x ≈ 24.4 to the nearest tenth
Option C
Number 6
tan∅ = opp/adj
tan37° = 20/x
x = 20/tan37°
x = 20/0.7536
x = 26.5409
x ≈ 26.5 to the nearest tenth
Option B
Answer:
Step-by-step explanation:
This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).
Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.
First, let's find the constant ratio of change.
This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.
Now, we use the point slope formula to find the equation
Theerefore, the function that represents this situation is
Where 
represents temperature and 
represents hearbeats.
1x25=25
5x5=25
1x20=20
2x10=20
4x5=20
x^5 is the biggest you can take out of x^5 and x^6 and 5 is the biggest number you can take out of 20 and 25
5m^5
