Answer:
The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60
Step-by-step explanation:
Rectangle:
8cm x 5cm = 40cm
Triangle <em>(</em><em>1</em><em>/</em><em>2bxh</em><em>)</em>
The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (<em>note the height is the dotted line</em>) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.
Answer:
So we know that rolling a fair six-sided die twice would mean the total possible outcomes would be 36, and rolling the 4 on the first roll and a 2 on the second roll would be 2/36 or 1/18
Step-by-step explanation:
(1/6)*(1/6)=(2/36)=(1/18)
If they both aren't exchanging the cards and making the fractions from their own picked ones, then Jamie will will have 7/10 and Lauren will have 6/12.
7/10 is a bigger fraction to 6/12
6/12 is 1/2 in simplified form. To check answer- in decimal format, 7/10=0.7 and 1/2 is 0.5. So, we can say for sure that 7/10 is the greatest fraction.
480. Since the ones place is a five, you round up, so 475 becomes 480.
Answer:
Answer of 17 is ㏒(
+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5
Step-by-step explanation:
17. ㏒x + ㏒(x+15)
Using property ㏒a + ㏒b = ㏒a×b
∴ ㏒x + ㏒(x+15)
㏒x×(x+15)
㏒(+15x)
The answer is ㏒(+15x)
33. 2^(x-5) = 8
2^(x-5) = 2^3
Using property 2^a = 2^b
Then a = b
∴x-5 = 3
x = 8
The answer is x = 8
35. 2^x = 10
Taking log on both sides gives
㏒2^x = ㏒10
x×㏒2 = ㏒10
x = ㏒10/㏒2
The answer is x = ㏒10/㏒2
37. 8^-x = 12
Taking log on both sides gives
㏒8^-x = ㏒12
-x×㏒8 = ㏒12
x = -㏒12/㏒8
The answer is x = -㏒12/㏒8
39. 5(2^3 × x) = 8
5(8×x) = 8
x = 5
The answer is x=5
