when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2
A = (36 · sin 45° · 36)/2
= (36² · √2)/4
= 9 · 36 · √2
= 324√2
≈ 458.2
Answer:
x=−2
Step-by-step explanation:
Solve for
by simplifying both sides of the equation, then isolating the variable.
1) 3:5
2) 7:10
3) 2:9
4) 6:1
5) 5:2
6) 11:3
7) 9:5
8) 2:7
9) 8:3
10) 5:2
Answer:
D. 2 1/4.
Step-by-step explanation:
First, convert both -5 1/4 and -7 1/2 into improper fraction. These would be -21/4 and -15/2.
-21/4 - (-15/2)
Two negatives in a row make a positive.
-21/4 + 15/2
Double both the numerator and denominator of 15/2 to make it have the same denominator as -21/4. This would 30/4.
-21/4 + 30/4
Put -21 + 30 over 4 to make it a single fraction.
(-21 + 30)/4
Add -21 and 30 to get 9.
9/4
Convert 9/4 into a mixed number: 2 1/4
The answer to -5 1/4 - (-7 1/2) is 2 1/4, which is D.
To find the volume of the prism, you need to know the length, height, and width.
since the length is 4 blocks wide, you can multiply 4 by the length of a single block. 4*1/2 = 4/2. do this for the height and width
Length 4/2
height 7/2
width 3/2
you would then multiply all of them together.
to multiply fractions, just multiply the numerators together and the numerators together
4/2*7/2*3/2 = 84/8
both 84 and 8 are divisible by 4 so you could simplify the fraction to 21/2
the answer is C