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Lelu [443]
2 years ago
15

What is the volume of the right prism?

Mathematics
2 answers:
ELEN [110]2 years ago
6 0
The answer is C hope  helped
Bess [88]2 years ago
5 0
The answer would be B as half of 6 is 3 and 3 x 5 is 15 , 15 x 10 is 150 :)<span />
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Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2
Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

(a) (15, 30) and (20, 40)

m = \frac{40 -30}{20- 15}

m = \frac{10}{5}

m =2.00

(b) (12, 32) and (18, 48)

m = \frac{48 -32}{18- 12}

m = \frac{16}{6}

m = 2.67

(c) (27, 12) and (72, 32)

m = \frac{32-12}{72- 27}

m = \frac{20}{45}

m = 0.44

(d) (45, 15) and (60, 20)

m = \frac{20-15}{60- 45}

m = \frac{5}{15}

m = 0.33

(e) (27, 2) and (243, 18)

m = \frac{18-2}{243- 27}

m = \frac{16}{216}

m = 0.07

(f) (18, 63) and (24, 84)

m = \frac{84-63}{24- 18}

m = \frac{21}{6}

m = 3.50

(g) (63, 9) and (84, 12)

m = \frac{12 -9}{84- 63}

m = \frac{3}{21}

m = 0.14

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

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