Answer:
<u>Surface area = the sum of the area of all six sides:</u>
(11 · 10) + (11 · 10) + (11 · 8) + (11 · 8) + (8 · 10) + (8 · 10)
= 110 + 110 + 88 + 88 + 80 + 80
= 220 + 176 + 160
= 556 ft²
Answer:
(22, 9)
Step-by-step explanation:
The positive difference of two integers is 13. The sum of the larger number and the square of the smaller is 103. Give your solution(s) as ordered pair (larger, smaller). I'll call the two integers a and b.
a - b = 13 a + b² = 103
<u> +b +b</u>
a = 13 + b plug this into the second equation
a + b² = 103
(13+b) + b² = 103 subtract 103 from both sides to get one side equal to zero
<u>-103 -103</u>
b² + b - 90 = 0 what factors (two numbers multiply) to -90 that also add up
to 1? The only two that work are -9 and 10.
(b-9)(b+10) = 0 so b-9 = 0 or b+10 = 0
<u>+9 +9</u> or <u>-10 -10</u>
b = 9 or b = -10 but both numbers must be positive
b = 9 and a = 13 + b so a = 13 + 9 = 22
(22, 9)
Answer: 2 X 2 X 3 X 3 X 5
Step-by-step explanation: please see attachment for explanation
-32.065 as a mixed number in lowest terms is
<u>Solution:</u>
A mixed number is a combination of a whole number and a fraction.
Need to represent -32.065 into mixed number in lowest form means need to represent -32.065 in mixed number and fraction part of the number must not have any common factors other than one between numerator and denominator
=> -32.065
Separate the decimal part, we get
= - (32 + 0.065)
Express the decimal as fraction value,
Reduce to lowest terms,
Hence -32.065 as a mixed number in lowest terms is
Answer:
0.132
Step-by-step explanation:
1.2 * 0.11 = 0.132