The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
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Answer:
2a...true
2b...false
2c....false
2d....false because you are supposed to add and not multiply
Answer:
Step-by-step explanation:
A tiny hint. When you are looking for the opposite side of a triangle and the function you use is the tangent, the side opposite is always going to be larger than the side adjacent. That happens when theta is greater than 1 when the angle is larger than 45.
Phew! I didn't know the hint was going to be that long.
The trig function that does not involve the hypotenuse is the Tangent or Tan(x).
C
Tan(x) = opposite / Adjacent.
The opposite side is the side not connected to the reference angle (x)
The adjacent side makes up the angle and is not the hypotenuse.
Tan(46) = 1.036
Side adjacent = 8
So the answer is either A or C. I'm guessing it's C.
Tan(46) = x/8
1.036 = x / 8 Multiply by 8
8*1.036 = x
x = 8.28
9514 1404 393
Answer:
Left: area: 702 square feet; perimeter: 114 feet
Right: area: 20 square inches; perimeter: 24 inches
Step-by-step explanation:
<u>Left Figure</u>
The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.
area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...
54 ft +60 ft = 114 ft . . . perimeter
__
<u>Right Figure</u>
The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...
(2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...
2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter
Answer:
Step-by-step explanation:
h = −16(x − 2)² + 72
= −16((x − 2)(x − 2)) + 72 expand the square (x - 2)² = (x - 2)(x - x)
= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
= -16 (x² + (-2x) + (-2x) + (4) ) + 72
= -16 (x² + (-4x) + (4) ) + 72
= -16 (x² - 4x + 4 ) + 72
= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
= -16x² + 64x - 64 + 72
= -16x² + 64x + 8 My guess is D ; 72 ???
I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.
