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son4ous [18]
3 years ago
10

Factor the trinomial below

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
C is the answer because 7+8= 15 and 7x8= 55
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If the radius of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60°? A) 3 5 π cm B) 5 2 π cm C)
devlian [24]

Answer:

The length of the arc is \frac{5\pi}{3} centimeters.

Step-by-step explanation:

The length of an arc (\Delta s) with a given central angle is determined by the following expression:

\Delta s = \frac{\theta}{360^{\circ}}\cdot 2\pi\cdot r

Where:

r - Radius, measured in centimeters.

\theta - Central angle, measured in sexagesimal degrees.

Given that r = 5\,cm and \theta = 60^{\circ}, then:

\Delta s = \frac{60^{\circ}}{360^{\circ}} \times 2\pi \times 5\,cm

\Delta s = \frac{5\pi}{3}\,cm

The length of the arc is \frac{5\pi}{3} centimeters.

4 0
3 years ago
a rectangle with the width of 6cm and length of 10cm is dilated by a scale factor of 5. what is the area and perimeter of the ne
Ivenika [448]

Answer:

The area is 1500.

The perimeter is 160.

I'm not sure if this answer is correct, but I hope so.


4 0
3 years ago
Given g(x) = 2x + 4, solve for x when g(x) = -8
Mnenie [13.5K]

Answer:

The value of  x = -6

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that g(x) = 2 x + 4  and g (x ) = -8

⇒    Equating  

               2 x +4 = - 8

  Subtracting '4' on both sides, we get

              2 x + 4 - 4 = -8 -4

        ⇒  2 x + 0 = -12

       ⇒   2 x  = -12

<u><em>Step(ii):-</em></u>

Dividing '2' on both sides, we get

             x = -6

The value of  x = -6

4 0
3 years ago
Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a
Svetradugi [14.3K]

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

4 0
2 years ago
Pls help will give brainliest
ki77a [65]

Answer:

B. the mean of city A is greater than the mean of city B

Step-by-step explanation:

Find mean by adding every number than dividing by the total of numbers added so...

97+98+96+98+99=488 and 488/5=97.6 which is higher than the mean of city B

3 0
2 years ago
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