A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder.
Give answer in terms of π​

Answer:

angle 3 = 79 degree

Step-by-step explanation:

given:

angle 1 = 98 degree

angle 2 : 19 degree

angle 3 =?

angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)

19 + angle 3 = 98

angle 3 = 98 - 19

angle 3 = 79 degree

Answer:

s=0

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1) / x2-x1)

   -1 = (s-6)/(-3 - -9)

   -1 = (s-6)/(-3 +9)

   -1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0

Answer:

[tex] \large\sf \: s = 0[/tex]

Value of s is 0.

Step-by-step explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Answer:

since angle x and y are the same the answer will be

A: x=y

Answer:

[tex]\bar x = 3.0[/tex]

Step-by-step explanation:

Given

[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]

Required

The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]

[tex]\bar x = \frac{15.0}{5}[/tex]

[tex]\bar x = 3.0[/tex]

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

Answer:

-12

hope this helps!

add me as a friend if u can<3

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Answer:

63 euros.

Step-by-step explanation:

4 dollars = 1.75 euros

1 dollar = 1.75 / 4 euros, so

144 dollars = (1.75/4) * 144

= 63 euros.

Step-by-step explanation:

eso es cierto y correcto por supuesto, es tan obvio

Answer:

y = 4x+ 5 is the equation that describes the data...

that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"

Step-by-step explanation:

Answer:

$5938

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 2700

r = 6.25% = 0.0625

n = 1

t = 13

Step 2: Find Interest

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.

Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = [tex]\frac{100}{100+profit}*SP[/tex]

                [tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer:

Answer:

6

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(KL) * (KM) = KJ^2

(KM+ ML) * KM = KJ^2

(2+ ML) * 2 = 4^2

(2+ ML) * 2 =16

Divide each side by 2

(2+ ML)  = 8

Subtract 2 from each side

ML = 6

Answer:

When  x =  -2     P  ( -2 ;  5)

When   x = -1       Q  (  -1 ; 2)

When   x  = 0       R  ( 0 ;  1)

Step-by-step explanation:

y =  x²  +  1

When    x  =  -2

y  =  ( -2)²  + 1        y  =  5     point  P  ( -2 ;  5)

When  x  =  -  1

y  =  (  -1)² + 1         y  =  2     point  Q  ( -1 ; 2 )

When x   =  0

y  =  (0)²  +  1         y  =  1      point   R  (  0 ;  1 )