Answer:
A. No
B. Yes
C. No
Step-by-step explanation:
Dimensions of each book are 4 inches by 11 by 14 inches.
A. Each book has a volume of 29 cubic inches.
Volume of each book = length × width × height
= 4 × 11 × 14
= 616 cubic inches
No
B. If the crate could hold 18 books the volume of the crate would be 11,088.
Volume of each book = 616 cubic inches
Volume of the crate = volume of each book × number of books
= 616 × 18
= 11,088 cubic inches
Yes
C. Each crate has a volume of about 8,524 cubic inches
If the crate holds 14 books,
Volume of the crate = volume of each book × number of books
= 616 × 14
= 8,624 cubic inches
No
Answer:
32
24
18
13.5
..............................
X=7
Explanation:
A triangle equals 180°, and they gave us one length already, and it says the one arm of the triangle is equal to the other so we know that the third angle is going to be the same as the second angle.
180=90+(6x+3)+(6x+3)
Combine like terms
180=96+12x
Subtract 96 from both sides
84=12x
Divide 12 by both sides
7=x
Now check it,
90+(6*7+3)+(6*7+3)
90+(45)+(45) =180
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Hi. This is a bit lengthy so I am attaching an image that shows it worked out step by step. I hope it helps.
Take care,
Diana
