We will be using the Point Slope formula which is
The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.
This simplifies into
Then we can subtract 5 from each side to get the answer:
Enrique left the study group traveling 20 mph. Then, 2 hours later, Tevin left traveling the same direction at 28 mph. How long
1 answer:
Answer:
After 7 hours Tevin will catch Enrique
Step-by-step explanation:
We have given speed of Enrique is 20 mph
Tevin left traveling after 2 hours of Enrique
Speed of Tevin is 28 mph
When Tevin catches Enrique will cover same distance
Let Enrique is traveling for t hours
Then Tevin will travel for t-2 hours
We know that distance = speed × time
So
t = 7 hours
So after 7 hours Tevin will catch Enrique
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<h3>Given:</h3><h3>Large cone:</h3>
- r= 8 cm
- h= 20 cm
- r= 4 cm
- h= 10cm
- r: radius
- h: height
- The volume of the frustum of the given cone.
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.
Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.
Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.
Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.
Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.
Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.
<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
Answer:
6 (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey