Answer:
(-4,169)
Step-by-step explanation:
11 (-4)^2 - 5(-4)+13
11(16)- 20 +13
176 -20+13
169
Answer:
602.88in²
Step-by-step explanation:
Formula for finding the volume of oblique triangle is expressed as
A = πr²h
Given
radius r = 4in
height h = 12in
Substitute
A = π*4²*12
A = 3.14*16*12
A = 3.14 * 192
A = 602.88in²
Hence the area of the cylinder is 602.88in²
Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
A mixed number is a combination of a whole number and a fraction, so in this case we have 8 as the whole part and 0.45 as the fraction, 0.45 is equal to 45/100, and that fraction can be simplified as well, lets see:
8.45 = 8 45/100
= 8 9/20
Answer:
39-18 is 21.
Explanation: