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lora16 [44]
3 years ago
7

Find the surface area of a cylinder with a base radius of 2 cm and a height of 8 cm

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

82.6cm2

Step-by-step explanation:

\pi {r}^{2}  + \pi {r}^{2}  + 2  \pi \: r h

\pi =  \frac{22}{7}

radius =2cm

height=8cm

( \frac{22}{7}  \times 2 \times 2 )+ ( \frac{22}{7}  \times 2 \times 2) + (2 \times  \frac{22}{7}  \times 2 \times 8)

Multiplying the numerators and The whole numbers, we have

\frac{88}{7}  +  \frac{88}{7}  +  \frac{402}{7}

Since the denominators of the fractions are the same, we add the numerators.

\frac{88 + 88 + 402}{7}  =  \frac{578}{7}  \\ which \: becomes \\

82.57{cm}^{2}  = 82.6 {cm}^{2}

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Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
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NARA [144]
Hope this helps you!

7 0
3 years ago
If A+B = 76 &amp; A -B = 38 What is A/B?
Igoryamba
A+B=76\\&#10;A-B=38\ \ --->\ \ A=38+B\\\\&#10;38+B+B=76\\&#10;38+2B=76\ \ | subtract\ 38\\2B=38\ \ \ | divide\ by\ 2\\&#10;B=19\\A=57\\\\&#10;\frac{A}{B}=\frac{57}{19}=3
3 0
3 years ago
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Determine the intercepts of the line. -5x+9y=-18
Stolb23 [73]

Answer:

x-intercept = (18/5,0)

y-intercept = (0,-2)

Step-by-step explanation:

I graphed it and found the intercepts

brainliest would be great

8 0
2 years ago
Choose the system of equations that matches the following graph:
Vilka [71]

One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:

(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)

(y - 6)/x = -3/-4 = 3/4

4(y - 6) = 3x

4y - 24 = 3x

3x - 4y = -24

The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:

(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)

(y + 3)/x = (0 + 3)/1

y + 3 = 3x

3x - y = 3

Therefore, the system of equations representing the graph is:

3x - 4y = -24

3x - y = 3

Was this helpful?

4 0
3 years ago
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