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Jobisdone [24]
2 years ago
7

Y’all help meeee imma fail fr!!.!.

Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer:

Altitude of cylinder = 10 cm

Step-by-step explanation:

Given:

lateral surface area of cylinder = 90 cm²

Circumference of base = 9 cm

Find:

Altitude of cylinder

Computation:

Circumference of base = Circumference of cylinder

So,

2πr = 9

lateral surface area of cylinder = 2πrh

2πrh = 90

We know that; 2πr = 9

So,

9(h) = 90

h = 90 / 9

Altitude of cylinder = 10 cm

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Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that pas
Ilya [14]
Parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
%   (c,d)
&({{ -2}}\quad ,&{{ -12}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5}  \right)
\\\\\\
y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5}
\\\\\\
y=6x-11
6 0
3 years ago
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that
lukranit [14]

Answer: 25 computers will be selected

Step-by-step explanation:

Where: Z -value at 95% confidence = 1.96; SD = Standard deviation = 10 minutes; N = Sample size; Margin error = 4 minutesSubstituting;4 = 1.96*10/Sqrt (N)Sqrt (N) = (1.96*10)/4 = 4.9N = 4.9^2 = 24.01 ≈ 25

5 0
2 years ago
Find an equation for the line passing through the point (6,1) and perpendicular to the line y=4x-2
Murrr4er [49]

Answer:

y = -1/4x + 2.5

or

y = -1/4x + 5/2

Step-by-step explanation:

First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.

1 = -1/4(6) + b

1 = -6/4 + b

4/4 + 6/4 = 10/4

10/4 = b

simplify: 5/2 or 2.5 = b

Now we have our y-intercept, so we can complete our equation.

y = -1/4x + 2.5

or

y = -1/4x + 5/2

4 0
2 years ago
How do u get the area of a circle?
galina1969 [7]

Answer: πr^2

Step-by-step explanation:

π is pie which is about 3.14

but you need to find the radius and square it is multiply it by itself (Example radius = 2 so 2x2=4)

then multiply the radius squared by π(pie) which is 3.14 or use a calculator.

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIST SOON AS I CAN. please help.​
VARVARA [1.3K]

Answer:

201.2

Step-by-step explanation:

area= s^2n

        -----------  ( 180)

         4+9        ---------

                          ( n )

Area equals S squared n over four plus nine times ( 180 over n )

5 0
3 years ago
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