a) If volume of a cylinder is 4817 and the radius is 4, find the height.

Answer:

We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.

Answer:

47

Step-by-step explanation:

Formula for finding nth term of an arithemetic sequence is:

tn = t1 + (n-1) d

Where t1 is the first term, n is the specific term, and d is the common difference.

Plug numbers into the formula and solve:

t8 = 5 + (8-1)6

t8 = 47

Answer:

It should be options B and D

Answer:

9-2 = 7

8-3 = 5

[tex]\sqrt{5^{2} +7^{2} \\[/tex]

= 8.602325267

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅

Step-by-step explanation:-

[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]

To verify:-

[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

x = 54.40883769

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 37 = 41/x

x tan 37 = 41

x = 41/ tan 37

x = 54.40883769

Answer:

9.30

Step-by-step explanation:

Using SOHCAHTOA

tan=opposite/adjacent

tan25°=x/20

tan 25°=0.4663

0.4663=x/20

cross multiply

x=0.4663*20

x=9.326

to the nearest tenth=9.30

Answer: 1/2 (110 degree + 20 degree)

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

y = x / 2

For x = -10

Plug -10 into the equation

y = -10/2

y = -5

------------------

For the remaining values

x     y

0     0

4     2

10     5

Answer:

39 ft^2

Step-by-step explanation:

area of small rectangle

length = 3 ft

breadth = 1 ft

area of rectangle = l*b

=3*1

=3 ft^2

area of big rectangle

length = 12 ft

breadth = 3 ft

area of rectangle = l*b

=12*3

=36 ft^2

area of the figure = area of small rectangle + area of big rectangle

=3 + 36 ft^2

=39 ft^2

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Answer:

in = - 9.5

Step-by-step explanation:

- 9.5 × 2 = -19

-19 - 1 = -20

Answer:

190

Step-by-step explanation:

1+2+3+4......19=210-20

=190

Answer:

In factored form:  3774  =  2 · 3 · 17 · 37

Creating two two-digit numbers:  3 · 17  =  51  and 2 · 37  =  74.

So, the two numbers are:  51  and  74.

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

Answer:i think is C

Step-by-step explanation:

Step-by-step explanation:

2 to the power x =1/32

2 to the power x =1/2 to the power 5

2 to the power x = 2 to the power -5

then,

x = -5

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

Answer:

The angle of view between the main characters is 80°.

Step-by-step explanation:

The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The slope of the perpendicular line will be the negative reciprocal of the original slope.

For this line, the slope is [tex]-\frac{3}{4}[/tex] , whose negative reciprocal is [tex]\frac{4}{3}[/tex]

Answer:

[tex]x=-5,\\y=\frac{13}{2}[/tex]

Step-by-step explanation:

[tex]\begin{cases}x+2y=8,\\x=-5\end{cases}[/tex]

Substitute the second equation into the first ([tex]x=-5[/tex]):

[tex]-5+2y=8,\\2y=13,\\y=\boxed{\frac{13}{2}}[/tex]

The second equation already denotes [tex]x=-5[/tex]. Therefore,

[tex]\boxed{x=-5,\\y=\frac{13}{2}}[/tex]

Answer:

x=-5

y=6.5

Step-by-step explanation:

if x=-5 then x+2y=8 could be rewriten as -5+2y=8 then you add 5 on both sides and you get 2y=13 then divide both sides by 2 and you get y=6.5

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

Please give brainliest thanks!

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

Answer:

f(x) = -5x² + 2x + 3

Step-by-step explanation:

f(x) = -5x² + 2x + 3

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650