1 point
1. Find the volume of the following cylinder (refer to your notebook/ notes
for volume formulas): *
10 in.
3 in.
O 90 pi
O 10 pi
O 60 pi
O 30 pi

Answer: All expect cos of theta=17/8

Step-by-step explanation: Fist, let find a equal cos equation. let use the idenitiy([tex]cos^{2}[/tex]Ф+[tex]sin^{2}[/tex]Ф=1.  [tex]cos^{2}[/tex]+15/17^2=1, [tex]cos^{2}[/tex]=1-225/289. [tex]cos^{2}[/tex]=289/289-225/289.  [tex]cos^{2}[/tex]=64/289. sqr root of [tex]cos^{2}[/tex]= 8/17.  

Using Other Formulas, Since secant is the reciprocal of cosine. sec(theta)=17/8.   since cosecant is the inverse of sin.  csc(theta)=17/15.

Using the formula sin x/cos x= tan x , [tex]\frac{15}{17}[/tex]=[tex]\frac{8}{17}[/tex] =15/8.

Answer:

17 048

hi lets be freinds pleeease

Step-by-step explanation:

Answer:

Formula is [tex]\pi[/tex]r^2h/3

Volume 549.78

Step-by-step explanation:

which is [tex]\pi[/tex] multiplied by 5^2 the radius multiplied by 21/3 the height equals 549.78

Answer:

x=101

Step-by-step explanation:

the missing angle and the outside angle have to equal 180 so

148-180= 32

then add 32+47 and subtract by 180 and that's your answer

Answer:

16 I believe. 240 divided by 15 is 16.

Answer:

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex].

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50  

Let the total cost of the restaurant be T

Cost for this case will be T1  

T1(n) = 25n +119.50  where n belongs to [tex]1 \leq n <50[/tex]

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to [tex]50\leq n[/tex].

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.  

Answer:

D. is √3/2 s^2

The area of the given triangle is (√3/6) s² so option (C) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Area of right angle triangle ;

A = (1/2) × Base × Hight

Tan 30° = height/s

1/√3 = height/s

height = s/√3

Now,

A = (1/2) × s × s/√3

A = 1/(2√3)  × s²

Multiply √3 on numerator and denominator

A = √3/6 × s²

Hence "The area of the given triangle is (√3/6) s²".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

7 fancy shirts and 5 plain shirts

Step-by-step explanation:

f and p are the numbers of fancy and plain shirts

f+p = 12

p = 12-f

20f + 10p = 190

20f + 10(12-f) = 190

20f + 120 - 10f = 190

10f = 70

f = 7

p = 12-f = 5

Answer:

122

Step-by-step explanation:

x = 180-(180-50-72) = 180-(130 - 72) = 180 - 130 + 72 = 50 + 72 = 122

add 50+72 and it will give you 122 and the triangle should be uhhh hang on gosh this is hard to remember, um 180 I believe so if you do 180-122 it will give you 58. Now you do 180 -58 because of the °180 line and I believe and it will give you 122 for the missing x but don't take my word on it cause I'm not sure if it's right but that's what I remember

9514 1404 393

Answer:

  64°

Step-by-step explanation:

y° and the angle marked 64° are "alternate interior angles", so are congruent.

  y° = 64°

Answer:

$1.82 per pound

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B because 29.07 - 26.785 = 2.285

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

27 cupcakes left

In percentage of the number of cupcakes left after she ate 4 = 75%

In percentage of the total number of cupcakes she baked = 67.5%

Step-by-step explanation:

Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder

= 40 - 4

= 36 cupcakes

If she gave 25% of the remaining, the number of cupcakes given

= 25% * 36

= 25/100 * 36

= 9 cupcakes

the number of cupcakes left

= 36 - 9

= 27 cupcakes

In percentage of the number of cupcakes left after she ate 4, this will be

= 100% - 25%

= 75%

In percentage of the total number of cupcakes she baked

= 27/40 * 100%

= 67.5%

9514 1404 393

Answer:

 13 : 33

Step-by-step explanation:

  hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

Answer:

-17/11

Step-by-step explanation:

Answer:

The x intercept is (2,0)

The y intercept is (0,4)

Step-by-step explanation:

y = 4 - 2x

To find the x intercept, let y =0 and solve for x

0 = 4 - 2x

Subtract 4 from each side

-4 = -2x

Divide by -2

-4/-2 = -2x/-2

2 =x

The x intercept is (2,0)

To find the y intercept, let x =0 and solve for y

y = 4 - 2*0

y = 4

The y intercept is (0,4)

Answer:

√2/2 or 0.70710678118

Step-by-step explanation:

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

Learn more: brainly.com/question/13324776

Answer:

The answer is A because all points less than -3 are shaded

Answer: 4

Step-by-step explanation:

To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4

Hope this helps ;)

Answer:

4 boys

Step-by-step explanation:

3:1 is the ratio of girls to boys

Lets girls be g and boys be b

G=3

B=1

G=12     12/3=4 and what you do to one side you do to the other it is multiplied by 4 so

B=1 time 4 =4

Answer:

A'=(5,1)

Step-by-step explanation:

Rotations

Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.

The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).

The image attached below shows both points

Answer:

Step-by-step explanation:

You want the external angle to be 45°.

If n = number of sides, the external angles are each 360°/n = 45°

n = 360/45 = 8

The shape is a regular octagon.

Answer:

the sun

Step-by-step explanation:

truss lebro

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

Answer:

no, its not

Step-by-step explanation:

you can find the decimals by dividing the numerator and the denominator

4/10 = 0.4

2/3 = 0.6666666......

so the values are obviously different

Answer:

6366.4213

Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.

Answer: 74.2857143 milliliters

Step-by-step explanation:

65cm3 + 9.28571429 milliliters = 74.2857143 milliliters

Answer:

Step-by-step explanation:

To use the simple interest formula, I = Prt, we substitute in the values for variables that are ... The rate of interest is usually expressed as a percent per year, and is calculated by ... Nathaly deposited $12,500 in her bank account where it will earn 4% interest. ... How much interest did she earn in 5 years

Answer:60 %

Step-by-step explanation:

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation: