Answer:
Step-by-step explanation:
Given that the exponential function passes through the point (2,80)
Since only one point is given there may be more than one exponential function satisfying this.
One of them we select here is with base 4 and coefficient 5.
i.e.
We can check whether (2,80) lies on it.
Substitute x=2 and y =80
Left side =80
Right side =
Answer:
AB = 4.41
Step-by-step explanation:
→You are given the adjacent side and need to find the hypotenuse. For this, we use cos.
<u>→Set it up, like so:</u>
<u />
<u>→To get rid of the x in the denominator, multiply everything by x:</u>
<u />
<u>→Divide both sides by cos25:</u>
x = 4.413
<u>→Round to nearest hundredth:</u>
x = 4.41
Hello there!
1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.
Now that you have this information, you can now find the surface area by using this formula:
A= 2lw+2lh+2hw
Now plug in your values:
A=2(5)(2.5)+2(5)(5)+2(5)(2.5)
This would simplify to:
A=25+50+25
A=100 in squared
Therefore, the surface area of the two pieces are 100 inches squared.
2.) To start, first plug the measurements of the tank into the cylinder volume formula:
V=r^2h
V=(2.75)^2(10)
V= 237.58 cubic feet
Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:
237.58/3.7= 64.2108...
Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.
:)
<span>Answer:
x= 8
Step-by-step explanation:
Pythagoras' Theorem states that the square of the hypotenuse side (side opposite the right angle) is the sum of the squares of the other 2 sides.
Applying Pythagoras' Theorem,
x² +6²= 10²
Simplify:
x² +36= 100
x²= 100 -36
x²= 64
Square root both sides:
x= 8