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Artist 52 [7]
3 years ago
13

Equations - Item 2829

Mathematics
1 answer:
hammer [34]3 years ago
3 0

The formula is used to find the diameter of circle is: d = \frac{C}{3.14}

The diameter of circle is 5.1 cm

<em><u>Solution:</u></em>

Given that,

Circumference (C) of a circle is 16 cm

<em><u>The formula for circumference of circle when diameter is given is:</u></em>

C = \pi d\\\\\pi \text{ is a constant equal to 3.14}\\\\C = 3.14d

<em><u>Rearrange the formula to get "d"</u></em>

Divide both sides by 3.14

d = \frac{C}{3.14}

The above formula is used to find the diameter of circle

Given that, circumeference = C = 16 cm

Substituting we get,

d = \frac{16}{3.14}\\\\d = 5.095 \approx 5.1

Thus diameter of circle is 5.1 cm

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SOLVE THE QUESTION BELOW ASAP
qwelly [4]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) 16 feet

Part C) see the explanation

Step-by-step explanation:

Part A) Graph the function

Let

h(t) ----> the height in feet of the ball above the ground

t -----> the time in seconds

we have    

h(t)=-16t^{2}+98

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

To graph the parabola, find the vertex, the intercepts,  and the axis of symmetry

<em>Find the vertex</em>

The function is written in vertex form

so

The vertex is the point (0,98)

Find the y-intercept

The y-intercept is the value of the function when the value of t is equal to zero

For t=0

h(t)=-16(0)^{2}+98

h(0)=98

The y-intercept is the point (0,98)

Find the t-intercepts

The t-intercepts are the values of t when the value of the function is equal to zero

For h(t)=0

-16t^{2}+98=0

t^{2}=\frac{98}{16}

square root both sides

t=\pm\frac{\sqrt{98}}{4}

t=\pm7\frac{\sqrt{2}}{4}

therefore

The t-intercepts are

(-7\frac{\sqrt{2}}{4},0), (7\frac{\sqrt{2}}{4},0)

(-2.475,0), (2.475,0)

Find the axis of symmetry

The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

x=0 ----> the y-axis

To graph the parabola, plot the given points and connect them

we have

The vertex is the point (0,98)

The y-intercept is the point (0,98)

The t-intercepts are (-2.475,0), (2.475,0)

The axis of symmetry is the y-axis

The graph in the attached figure

Part B) How far is the artifact fallen from the time t=0 to time t=1

we know that

For t=0

h(t)=-16(0)^{2}+98

h(0)=98\ ft

For t=1

h(t)=-16(1)^{2}+98

h(1)=82\ ft

Find the difference

98\ ft-82\ ft=16\ ft

Part C) Does the artifact fall the same distance from time t=1 to time t=2 as it does from the time t=0 to time t=1?

we know that

For t=1

h(t)=-16(1)^{2}+98

h(1)=82\ ft

For t=2

h(t)=-16(2)^{2}+98

h(2)=34\ ft

Find the difference

82\ ft-34\ ft=48\ ft

so

The artifact fall 48 feet from time t=1 to time t=2 and fall 16 feet from time t=0 to time t=1

therefore

The distance traveled from t=1 to t=2 is greater than the distance traveled from  t=0 to t=1

8 0
3 years ago
A culture started with 5,000 bacteria. After 8 hours, it grew to 6,000 bacteria. Predict how many bacteria will be present after
Vlad [161]

Answer:

6,250

Step-by-step explanation: 6,000 - 5,000 = 1000

1,000/8 = 125

125 X 10 = 1,250

5,000 + 1,250 = 6,250

this would be your answer hope it helps!

say, if this is correct wouldn't mind hitting that brainliest would ya?

5 0
3 years ago
Read 2 more answers
Measuring angles with a protractor​
tankabanditka [31]

Answer:

it is about 48 degrees

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

3 0
2 years ago
Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0
Mariana [72]

Answer:

Step-by-step explanation:

Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,

-y = -x + 1 and

y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:

0 = x - 1 and

1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.

x = 1 is the line you want.

8 0
3 years ago
20 pts awarded and brainliest chosen<br><br>Which of the following is the solution to ?
Dvinal [7]

Answer:

B.

Step-by-step explanation:

The answer is B

5 0
3 years ago
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