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nika2105 [10]
2 years ago
12

The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18.

The numbers below 18 in sequence are subtract 16 labeled as Step 1, 20, subtract 16 labeled as Step 2, 40 labeled as Step 3, subtract 40, and 0 labeled as Step 4. In what step is the first error?

Mathematics
1 answer:
natka813 [3]2 years ago
4 0

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

0

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

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Using the equation y = 3x – 5, what would the output be for an input of 4
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The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
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The output is 7.
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2 years ago
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Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.
nata0808 [166]

Answer:

\theta=\dfrac{7}{4}\ \text{radian}

Step-by-step explanation:

We have,

Radius of the circle is 12 cm

Arc length, l = 21 cm

It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :

l=r\times \theta

\theta is central angle

\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}

So, the angle at the centre of the circle is \dfrac{7}{4}\ \text{radian}.

7 0
2 years ago
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B
Step2247 [10]

Answer:

<em>The coordinates of P are (-2,0)</em>

<em>The radius of the circle is 5.</em>

Step-by-step explanation:

<u>Analytic geometry</u>

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

Substituting x1=-6, x2=2, y1=3, y2=-3:

\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2

\displaystyle y_m=\frac{3-3}{2}=0

Thus, the coordinates of P are (-2,0)

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Given two points A(x1,y1) and P(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting x1=-6, x2=-2, y1=3, y2=0:

r=\sqrt{(-2+6)^2+(0-3)^2}

r=\sqrt{4^2+(-3)^2}

r=\sqrt{16+9}=\sqrt{25}=5

The radius of the circle is 5.

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2 years ago
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Step-by-step explanation:

Does this help?

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Step-by-step explanation:

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