For the cylinder on the left-hand-side,
now, for the triangular prism on the right-hand-side,
notice is really just 2 triangles and 3 rectangles, stacked up to each other at the edges.
the triangles have a base of 4, and a height of 1.5.
the rectangle on the left and the one on the right is a 6x2.5 rectangle.
the rectangle at the bottom, is a 4x6 rectangle.
adding their areas, is the area of the prism,
![\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5) \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6} \\\\\\ 6~~+~~30~~+~~24](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%284%29%281.5%29%20%20%5Cright%5D%7D%2B%5Cstackrel%7Bleft-right~rectangles%7D%7B2%286%5Ccdot%202.5%29%7D%2B%5Cstackrel%7Bbottom~rectangle%7D%7B4%5Ccdot%206%7D%0A%5C%5C%5C%5C%5C%5C%0A6~~%2B~~30~~%2B~~24)
The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
Finally
Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
Answer:
The area of the baseboard is 
Step-by-step explanation:
We have,
Length of the bed, l = 15 m
Width of the bed, b = 9/10 m
It is required to find the area of the baseboard. It is a shape of rectangle. The area of a rectangular shape is given by :
So, the area of the baseboard is
Answer:
The area of the triangle is 
Step-by-step explanation:
Given
Triangle VWU
Required
Determine the Area of the Triangle
First, we'll solve for the third angle
Angles in a triangle when added equals 180; So
Next is to determine the length of VW using Sine Law which goes thus
(Because 24 degrees is the angle opposite side VW)
Multiply both sides by Sin24
(Approximated)
<em>At this stage, we have two known sides and two known angles;</em>
<em>The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides</em>
Considering VW and VU
VW = 23.5 (Calculated);
VU = 34 (Given)
The angle between these two sides is 120 (Calculated);
Hence;
<em>Hence, the area of the triangle is </em>
Answer:
-6
Step-by-step explanation:
1-7(1)=1-7
1-7=-6
You know anything times 1 stays the same there for you just subtract, since it's a positive 1 minus a negative 7 it goes backwards to -6
