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8090 [49]
3 years ago
13

How do we calculate on sixth of 42​

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

7

Step-by-step explanation:

42/6=7

elena55 [62]3 years ago
6 0

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

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The cost of a floral bouquet after a discount is applied is represented by the function below, where x represents the number of
galina1969 [7]

The average rate of change over the interval (12,24) is 2.17

Explanation:

Given that the cost of a floral bouquet after a discount is given by the function f(x)=2.17x-10.00

We need to determine the average rate of change over the interval (12,24)

The average rate of change can be determined using the formula,

\frac{f(b)-f(a)}{b-a}

where a=12 and b=24

Substituting the value of a and b in the function, we get,

f(12)=2.17(12)-10.00

        =26.04-10.00

        =16.04

f(24)=2.17(24)-10.00

        =52.08-10.00

        =42.08

Hence, substituting these values in the formula, we get,

\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}

Simplifying, we get,

\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}

Dividing, we have,

\frac{f(b)-f(a)}{b-a}=2.17

Thus, the average rate of change over the interval (12,24) is 2.17

7 0
4 years ago
Simplify 6(5x-2) -4 (2x-10)
Oduvanchick [21]
30x-12-8x+40
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6 0
3 years ago
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Write an equation about the movement of a Ferris wheel.As a Ferris wheel turns , the distance a rider is above the ground varies
alekssr [168]

Answer:

Step-by-step explanation:

The graph is sketched in the attachment. It's easy to sketch the same graph using the given information. Let's say h is the height. For time t=0 you put a dot on 3 feet since it's the lowest point of the ferris wheel (you get that by substracting the diameter of 40 feet from the highest point given (43 feet).

Second dot is your highest point 43 feet at t=4 sec since it is the half of the circle.

The third dot is your lowest point again at t=8 sec. If you connect the dots like a sine you get the sketched graph.

To find out what is the equation for the graph you need to look at the amplitude which in this case is 20 feet. Then you need to find out the frequency at which the wheel is turning. Since you are given the period (8 sec for a full cycle) you get the frequency:

f=\frac{1}{T}=\frac{1}{8}

Now you need to find out the phase of the wave. Since we want to be at 0 feet at t=0 you need to shift the wave 90° degrees forward or \frac{\pi}{2} in radians.

Finally it's important to shift the whole wave up. You do that by adding the appropriate amount that is in this case the half of the diameter plus the 3 feet to the ground.

The equation you get is:

h(t)=23+A\sin(2\pi f t-\phi)=23+20\sin(0.25\pi t-\frac{\pi}{2})

where A is amplitude, \phi is the phase shift and f is the frequency.

Finally you can get the height at t=4.5 sec:

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8 0
3 years ago
Literally 50 points for whoever can answer this
Liula [17]

Answer:

  • 92°

Step-by-step explanation:

<u>Sum of internal angles of a regular polygon is:</u>

  • S = 180(n - 2)

<u>We have here 5-sided polygon:</u>

  • S = 180*(5 - 2) = 180°*3 = 540°

<u>Now sum the given angles measures and solve for x:</u>

  • 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
  • 16x - 4 = 540
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  • x = 544/16
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<u>Find the measure of angle R:</u>

  • m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
  • m∠R = 92°
6 0
3 years ago
Find the length of the missing side of the triangle below
True [87]

Answer:

x = 28.8

Step-by-step explanation:

Using the Sine rule in the triangle then

\frac{43}{sin87} = \frac{x}{sin42} ( cross- multiply )

x × sin87° = 43 × sin42° ( divide both sides by sin87° )

x = \frac{43sin42}{sin87} = 28.8

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