Answer:
B. The shape can be broken into a rectangular prism and a rectangular pyramid.
C. The formula for the volume of this figure is V = B h + one-third B h.
D. The volume of the container is 2,760 centimeters cubed.
Step-by-step explanation:
I did the edge test.
Answer:
21 inches.
Step-by-step explanation:
From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.
Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.
Thus, 10^2 = (16/2)^2 + (b1)^2.
b1 = √ (100 - 64) = √ 36 = 6.
Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.
17^2 = (16/2)^2 + (b2)^2.
b2 = √ (289 - 64) = √ 225 = 15.
Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;
6 + 15 = 21.
Thus, length of the kite’s other diagonal = 21 inches.
Answer:
$8146.67
Step-by-step explanation:
Under the U.S. Rule, unpaid accrued interest is accumulated separately and is not added to principal. In addition, interest is not calculated until a payment is made.
Principal = $12 000.00
1st period = 40 days
Interest on 1st period
= $12 000 × 0.11 × 40/360 Interest = 146.67
Principal + interest = 12 146.67
-Partial payment = 4 000.00
Adjusted balance = $ 8 146.67
Roger's adjusted balance after the first payment is $8146.67.
Answer: From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints and is given by,
Therefore, coordinates of the point X will be, = (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX =
Length of BX =
=
Length of AX = BX =
Therefore, triangle AXB is an isosceles triangle.
Step-by-step explanation:
Answer:
Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75
Step-by-step explanation:
Let the cost of paint set be = p
Cost of sketchbook 's' = (2 / 3) p
Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p
Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25
Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b
= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25
( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11
p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75
