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shtirl [24]
1 year ago
15

Caden removed the label of a soup can like the one shown. What is the approximate area of the label if the can is 4 inches high

Mathematics
1 answer:
Dominik [7]1 year ago
5 0

EXPLANATION

If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

\text{Area}_{\text{label}}=2\pi rh

Replacing terms:

\text{Area}_{\text{label}}=2\pi\cdot1.5\cdot4=12\pi=37.7in^2

The approximate area is 37.7 in^2

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D because 3/4 is .75 so 7.75 divided by .75 equals 10.333333333333333
6 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher
Mars2501 [29]

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    {}   h(x)

0    {}   330

5    {}   275

10    {}  220

15    {}  165

20    {}  110

25    {}  55

30    {}   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0
3 years ago
Read 2 more answers
2) Write the equation of a line lin point-slope form) with a slope of -2 passing through the
shepuryov [24]

Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)

8 0
3 years ago
Plz help with equation of the circle will award fastest CORRECT answer with brainliest
aliina [53]

Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

The equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

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

Let (1,2) be <em>x₁ </em>and <em>y₁ </em>and let (2.5,4) be <em>x₂ </em>and <em>y₂. </em>Therefore:

d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

(x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25

3 0
3 years ago
What is −5/6÷9/10 ?<br><br> A −27/25<br><br> B −4/3<br><br> C −25/27<br><br> D −3/4
Anna [14]

Answer and Step-by-step explanation:

\huge\boxed{~~Answer:\frac{-25}{27} ~~}

\frac{-5}{6} ÷ \frac{9}{10}=\frac{-25}{27}

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3 years ago
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