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3 years ago

11

A cylinder has a volume of 791.28 cubic centimeters. The height of the cylinder is 7.0 inches. Calculate the radius of the cylin

der. Use 3.14 for π.

1 answer:

hjlf3 years ago

4 0

Answer:

The radius is 6

$\sqrt{v \div \pi \times h =}$

=791.28/3.14×7.0

=

$\sqrt{36}$

=6

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What number is needed to complete the pattern below 66 73 13 21 52 _1020

Dimas [21]

<span>Answer 61 73-66= 7 21-13 = 8 ?? -52= 9 20-10 = 10 ??=61</span>

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3 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

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3 years ago

Write the equation in slope-intercept form of a line that has a slope of 1/3 and passes through the point (-6, 0).

Vesna [10]

Answer: y = 1/3x +2

Step-by-step explanation:

The equation of line in slope - point form is given as:

y - $y_{1}$ = m ( x - $x_{1}$ )

m = 1/3

$y_{1}$ = 0

$x_{1}$ = -6

substituting into the formula , we have

y - 0 = 1/3 ( x - {-6} )

y = 1/3 (x+6)

y = 1/3x +2

5 0

3 years ago

Read 2 more answers

Solve and show all work |2×+3| -6=11

mash [69]

Answer:

x = -10; x = 7

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17 (2) 2x + 3 = -17

Subtract 3 from each side

2x = 14 2x = -20

Divide each side by 2

x = 7 x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11

|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

|17| - 6 = 11 |-17| - 6 = 1 1

17 - 6 = 11 17 - 6 = 11

11 = 11 11 = 11

7 0

3 years ago

Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

8 0

2 years ago