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2 years ago

Determine (a) the area and (b) the circumference of the circle.

Mathematics

1 answer:

Inga [223]2 years ago

3 0

Step-by-step explanation:

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

Hope this helps you

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96 divided by (7+5) + 19 x 4 =

Gnoma [55]

Answer:

1.09

Step-by-step explanation:

<u>Order of operations</u>

<u>(</u>7 + 5) = 12

19 *4 = 76

<u>Simplify</u>

12 + 76 = 88

96/88

<u>Solve</u>

96/88 = 1.09

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2 years ago

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Does the point (4, 8) satisfy the equation y = x + 6

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It can, it just depends upon the slope

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Find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=2x^2-8x+6

o-na [289]

Answer:

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Step-by-step explanation:

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2 years ago

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

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2 years ago

Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of e

Volgvan

Answer:

47.14 in³

Step-by-step explanation:

Here is the complete question

Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?

Volume of a cone = $\frac{1}{3}$ πr²h

π = 22/7

Radius = diameter / 2 = 6 /2 = 3 inches

(1/3) x (3^2) x (22/7) x 5 = 47.14 in³

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2 years ago