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3 years ago

Use the law of cosines to find the balue of cos 0 . Round to answer to two decimal places

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the law of cosines then cosΘ is the following quotient

cosΘ = $\frac{a^2+b^2-c^2}{2ab}$

where a = 5.8, b = 10.5 and c = 10.9

cosΘ = $\frac{5.8^2+10.5^2-10.9^2}{2(5.8)(10.5)}$

= $\frac{33.64+110.25-118.81}{121.8}$

= $\frac{25.08}{121.8}$ = 0.21 → C

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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following

labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

$\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|$

(b)The relative frequency distribution.

$\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|$

(c)The cumulative frequency distribution.

$\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|$

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

$=\dfrac{12}{20} \\\\=0.6$

5 0

3 years ago

25. Save the simultaneous equations 2x-y=4;x+y=5

Helen [10]

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

x + y = 5

y = 5 - x

2x - (5 - x) = 4

2x + x - 5 = 4

3x = 9

x = 3

3 0

2 years ago

YO!NEED THIS!!!!!POINTS!!!!!!WILL GIVE THE BRAIN!!!!

DiKsa [7]

The graph is falling on the left hand side and rising on the right hand side.

Since the two ends of graph are in opposite direction, the exponent of variable has to be odd. For an even exponent of leading term, the two ends are in same direction.

Since the graph is falling on left and rising on right, this indicates that the coefficient of leading term is positive.

So, the leading term must have:
1) Odd exponent
2) Positive Coefficient

Thus, option Fourth is the correct answer

5 0

4 years ago

Can someone give me the answers plz:)

Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.

Solve

$\dfrac{x + 1.6}{2} =\text{x + 0.1}$ Multiply by 2

x + 1.6 = 2(x + 0.1) Remove the brackets

x + 1.6 = 2x + 0.1*2

x + 1.6 = 2x + 0.2 Subtract x from both sides

1.6 = x + 0.2 Subtract 0.2 from both sides

1.6 - 0.2 = x

1.4 = x

Circle A

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

Remove the brackets.

4x + 6 = 2x - 6 Add 6 to both sides

4x + 12 = 2x Subtract 4x from both sides.

12 = -2x Divide by - 2

12/-2 = x

x = - 6 Don't circle C

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

5 0

3 years ago

Read 2 more answers

Describe the varying vegetation regions in Canada

pantera1 [17]

Answer: Canada Vegetation

Forests are primarily mixes of white and black spruce, lodgepole pine, balsam poplar, paper birch and trembling aspen. Common understorey plants include mountain and green alders, highbush cranberry, wild rose, Canadian buffalo berry and reed grass, fireweed, lingonberry, twinflower and feather mosses.

8 0

2 years ago

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