The length of a recycling cart is 1.5 yard.
1 answer:
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The length of the rectange is 20ft and width of the 5ft.
<u>Step-by-step explanation:</u>
Let us consider a rectangle and its area is known to be 100 sq ft.
We are given the information that the length of the rectangle is 10ft longer than twice its width.
⇒Length l = 2w+10.
Where w is the width of the rectangle.
The formula for area of the rectangle A = length × width.
A= (2w+10)×w.
100 = .
0=.
Thus it forms an quadratic equation we have to solve for the solution.
0=(2w-10)(w+10).
2w-10=0. w+10=0.
2w=10. w=-10. (negative value cannot be choosed.)
w=.
w=5ft.
Thus width is is 5 ft.
Length = 2(5)+10.
=10+10.
=20ft.
Thus the length is 20ft.
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere cubic cm.
The volume of the half-sphere cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
The correct option is A. 198 degrees
Step-by-step explanation:
Consider the provided information.
87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.
Another question showed that 32 percent of the students worked throughout their undergraduate career.
87 percent of the students worked at least sometime during the college. Out of them 32% worked throughout the college.
Therefore, the students who worked sometime during their undergraduate career, but not throughout are:
(87-32)% = 55% .
As we know the angle measure in circle is 360 degrees.
55% of 360° is:
Hence, the measure of central angle would be 198 degrees
Therefore, the correct option is A. 198 degrees
Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting in the above formula, we get
We know that,
Divide both sides by 1.27, we get
Therefore, the principal value is Rs. 7200.