Volume of the pyramid = (1/3) x Area of the base x
Height ---------- (1)
As the base length = 5 feet
So Area of the base = 5 x 5 = 25 square feet
While volume of the pyramid = 75 cubic feet
Putting values in equation (1);
75 = (1/3) x 25 x Height
Height = (75 x 3) / 25
Height = 9feet
<span>So 2nd option is correct.</span>
Answer:
<h2>D = 75°</h2><h2>E = 37°</h2><h2>F = 68 ° Given </h2>
Step-by-step explanation:
I hope that is useful for you :)
Answer:
Step-by-step explanation:
Let the larger number = x
Smaller number = y
6x + 7y = 114 ------------(I)
10x - 9y = 66 ------------(II)
Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x
(1)*9 54x + 63y = 1026
(II)*7 <u>70x - 63y = 462</u> {Now add}
124x = 1488 {Divide both sides by 124}
x = 1488/124
x = 12
Plugin x = 12 in any of the equation. Here, We are substituting in equation (I)
6*12 + 7y = 114
72 + 7y =114
7y = 114 - 72
7y = 42
y = 42/7
y = 6
The numbers are 12 , 6
Answer:Height to width is 3:4
Width to height is 4:3
Step-by-step explanation:
A TV screen is 15 inches high and 20 inches wide.
Height of TV screen is 15 inches
Width of TV screen is 20 inches
To find ratio of Height to width
we replace the numbers in the ratio Height : width
15: 20
Divide both numbers by 5, so ratio becomes
3: 4
Height to width is 3:4
To find ratio of Width to height
we replace the numbers in the ratio Width : height
20:15
Divide both numbers by 5, so ratio becomes
4:3
Width to height is 4:3
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
