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3 years ago

7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

68+70=180
=138=180
=180-138
=42 degrees (using angle sum property of triangles

Hope this helps you

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Topic 9 Review

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Merry Christmas and a happy new year

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3 years ago

7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it

babymother [125]

Answer:

The angle it turns through if it sweeps an area of 48 cm² is 448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360 × πr²

where Ф is the angle, r is the radius π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =? area of the sector= 48 cm² π = $\frac{22}{7}$

we can now go ahead to substitute the values into the formula and solve Ф

area of a sector = Ф/360 × πr²

48 = Ф/360 × $\frac{22}{7}$ × (3.5)²

48 = Ф/360 × $\frac{22}{7}$ ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it sweeps an area of 48 cm² is 448.8°

7 0

3 years ago

find the volume of the cone. either enter exact answer in terms of pi or use 3.14 for pi and round your final answer to the near

SCORPION-xisa [38]

Answer:

$6\pi u^3 = 18.8u^3$

Step-by-step explanation:

the information we have is:

the radius of the circle in the base: $r=3u$ (u for units)

and the height of the cone: $h=2u$

to find the volume we need the formula for the volume of a cone:

$V=\frac{\pi r^2h}{3}$

where r is the radius and h is the height.

Substituting the known values to find the volume:

$V=\frac{\pi (3u)^2(2u)}{3} \\\\V=\frac{\pi (9u^2)(2u)}{3}\\ \\V=\frac{18\pi u^3}{3}\\ \\V=6\pi u^3$

the volume in terms of $\pi$ is $6\pi u^3$

and if we substitute the value of pi: $\pi=3.14$ we get:

$V=6(3.14)u^3\\V=18.8u^3$

5 0

3 years ago

Read 2 more answers

Please help me with these questions and please show the work or something... and yep, 30 points so you better answer with an exp

Aleks04 [339]

Part 1:

You have the correct answer. You multiply the probability of getting red (6/15) by the probailitiy of getting red (6/15) to get 36/225 which reduces to 4/25

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Part 2:

This is also correct. Nice work. You multiply the probability of getting black (9/15) with the probability of getting red (6/15) to get 54/225 = 6/25

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Part 3:

The probability of picking a black checker is 9/15. If a replacement is made, then the probability of picking another black checker is also 9/15. So,

(9/15)*(9/15) = 81/225 = 9/25

Answer: 9/25

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Part 4:

The probability of rolling a 6 is 1/6. The probability of rolling a 3 is 1/6 as well. This is because there is only one side with this label out of 6 total. Multiply the probabilities

(1/6)*(1/6) = 1/36

Answer: 1/36

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Part 5:

It is impossible to roll a 7 on the six sided cube because the highest number is 6. Therefore the overall probability is 0

Answer: 0

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Part 6:

There are 3 outcomes we want (rolling a 1,2, or 3) out of 6 total. So the probability of rolling a 1,2 or 3 is 3/6 = 1/2. Similarly, the probability of rolling a 4, 5 or 6 is 3/6 = 1/2 as well.

Multiplying the probabilities gives

(1/2)*(1/2) = 1/4

Answer: 1/4

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3 years ago

Jenny likes to paint. She estimates the number of paintings she completes using the function P of w equals one half times w plus

Nimfa-mama [501]

The answer to the question is A.

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3 years ago

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