The scale factor of the length of the sides of the cubes is 2:3
Answer:
B
Step-by-step explanation:
Although this problem is quite long and exhausting, it is deceptively simple.
We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.
If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)
In this case, he will pay 2.59(6) + 32.00 = $47.54
If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).
In this case, he will pay 4.50(6) + 5.00 = $32.00
Using these results, we know that B must be true.
Answer: the diameter of the cone is 1.6m
Step-by-step explanation:
The formula for determining the curved surface area of a cone is expressed as
Area = πrl
Where
r represents the radius of the cone.
l represents the slant height of the cone.
π is a constant whose value is 3.14
From the information given,
the curved surface area of the cone is 6.28 square meters
slant height = 2.5 meters.
Therefore,
3.14 × 2.5 × r = 6.28
7.85r = 6.28
r = 6.28/7.85
r = 0.8
Diameter = 2 × radius
Diameter = 2 × 0.8 = 1.6 meters
I'll be using the formula for area of a circle. because based on the given image the cow can graze 1/4 area of the circle.
100 ft rope will be its radius.
Area of a circle = π r²
A = 3.14 * (100ft)²
A = 3.14 * 10,000 ft²
A = 31,400 ft²
31,400 ft² x 1/4 = 7,850 ft²
7,850 ft² or 2,500 π ft²
Answer:
Step-by-step explanation:
Draw a Rigth triangle as the one attached, where "b" is the height in feet of the pole.
IFor this exercise you need to use the following Trigonometric Identity:
In this case, you can identify that:
Then, knowing these values, you can substitute them into , as below:
Finally, you must solve for "b" in order to find its value. You get that this is: