Answer:
cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine by multiplying both fractions together
quantity of snack mix Jared guest ate =
Answer:
The answer to your question is below
Step-by-step explanation:
f(x) = 2x + 5
To solve letter a, just multiply each term of f(x) by 3 and subtract 2.
a) 3f(x) - 2 = 3(2x + 5) - 2
= 6x + 15 - 2
= 6x + 13
To f(x) subtract twice g(x)
b) f(x) - 2g(x) = 2x + 5 - 2(x² - 3x + 2)
= 2x + 5 - 2x² + 6x - 4
= -2x² + 8x + 1
Multiply 5 by each term of f(x) and divide it by g(x)
c)
=
9514 1404 393
Answer:
1) 135°
2) 0.77 units
3) 0.92 units
4) 6.12 units
5) 2.83 square units
Step-by-step explanation:
1) The exterior angle at any vertex is 360°/n, where n is the number of sides. For the octagon, the exterior angle is 360°/8 = 45°. The interior angle will be the supplement of this: 180° -45° = 135°.
The measure of each interior angle is 135°.
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2) Each sector of the octagon is an isosceles triangle with a central angle of 45° (also 360°/8). Since the radius is 1 unit, the length of one side is twice the sine of half the central angle.
s = 2·sin(45°/2) ≈ 0.765367
The length of one side is about 0.77 units.
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3) Similarly, the apothem is the cosine of half the central angle:
a = cos(45°/2) ≈ 0.923880
The apothem is about 0.92 units.
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4) For an octagon, the perimeter is 8 times the length of one side.
P = 8s = 8(0.765367) ≈ 6.12293
The perimeter is about 6.12 units.
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5) The area of one sector (isosceles triangle) is given by the formula ...
A = (1/2)bh
A = 1/2sa ≈ 1/2(0.765367)(0.923880) ≈ 0.353553
Then the area of the octagon is 8 times this:
A = 8(sector area) = 8(0.353553) ≈ 2.82843
The octagon area is about 2.83 square units.
