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ladessa [460]
3 years ago
13

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour

days can he work for the rest of the week?
a.2
b.3
c.4
d.5
Mathematics
2 answers:
professor190 [17]3 years ago
7 0
The answer is A. He can only work 2 more days with 8 hours a day
Bas_tet [7]3 years ago
4 0
Since Xavier can work no more than 40 hours, he can work for 40-24 = 16 more hours.
16 hours = A. 2 days.
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Suppose the dial on the spinner is spun 2 times in a row.
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If you spin the dial two times there three things that can happen:
1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1. 
Let's calculate probabilities of each event:
1) P=P(1,1)=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}\\
2)P=P(1,2)+P(2,1)=2\cdot \frac{2}{3}\cdot \frac{1}{3}=\frac{4}{9}\\
3)P=P(3,3)=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}
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6 0
3 years ago
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Simplify the following expression 11^7/11^4
exis [7]
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3 years ago
Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
Arada [10]

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = \frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})] (Absolute value)

By substituting the values from the given vertices,

Area = \frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)]

        = \frac{1}{2}[-36+0-72]

        = \frac{1}{2}(-108)

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = \sqrt{(a-c)^{2}+(b-d)^2}

     AB = \sqrt{(-4-1)^{2}+(-2-7)^{2}}

           = \sqrt{106}

           = 10.295 units

     BC = \sqrt{(1-8)^2+(7+2)^2}

           = \sqrt{130}

           = 11.402 units

     AC = \sqrt{(-4-8)^2+(-2+2)^2}

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

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