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pantera1 [17]
3 years ago
8

A store sells two kinds of candles,scented candles and unscented candles. The candles burn at different rates which kind of cand

le burns more in one hour? How much more per hour? The scented one burns 1/8inch an hour 1/4 hour and the unscented one burns 1/9 inch in 1/3 hour. SHOW WORK!!!!
Mathematics
2 answers:
olasank [31]3 years ago
8 0

Answer:

You look at the numbers

Step-by-step explanation:

1/8inch per hour

hoa [83]3 years ago
5 0

Step-by-step explanation:

The first thing we must observe is that the hourly rate for each candle is:

<em />

<em>scented candles: </em>

(1/12) / (20/60)

Simplifying:

= (1/12) / (10/30)

= (1/12) / (5/15)

= (1/12) / (1/3)

= (3/12)

= (1/4) inches / hour

<em>Unscented candles: </em>

(1/6) / (30/60)

Simplifying:

= (1/6) / (15/30)

= (1/6) / (3/6)

= (1/6) / (1/2)

= (2/6)

= (1/3) inches / hour

Answer:

The unscented candles burn faster at a rate of:

(1/3) inches / hour.

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Solve the triangle. Round your answers to the nearest tenth.
Tresset [83]

Answer:

<B = 47°

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b = AC = 28.0

Step-by-step explanation:

Given:

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Required:

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==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

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0.9659/37 = sinC/18

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Divide both sides by 37

17.3862/37 = sinC

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C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

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Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

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6 0
3 years ago
Two consecutive positive integers have a product of 6. what are the integers
sergejj [24]

Hey there!

One way to do this is find all the factors of 6 and then see which pair fit the requirements.

The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)

You can find them by asking if each number can go into 6.

1, 2, 3, and 6 all go into 6, while 4 and 5 do not.

The requirements we have is that they must be consecutive <u>and</u> have a product of 6.

Consecutive means right after one another.

The only numbers that fit this are 2 and 3.

2 x 3 = 6

Hope this helps!

6 0
3 years ago
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What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
alekssr [168]

The measure of the central angle of a circle is 45⁰

<h3>What is Angle?</h3>

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ =  0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

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Thus, the measure of the central angle of a circle is 45⁰.

Learn more about Angle from:

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Answer:

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