56 students signed up to go on the class trip. If this is 70% of the class, how students are in class?

Answer:

44.1

Step-by-step explanation:

Cosine = Adjacent over Hypotenuse

Adjacent of ∠T = 28 and hypotenuse = 39

Which means that  [tex]cos(x)=\frac{28}{39}[/tex]

Now we solve for x

To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side

[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]

We're left with x = 44.11461855

Our last step is to round to the nearest tenth and we get that the answer is 44.1

Answer:

Solution given:

radius [r]=2cm

height [h]=8cm

total surface area of cylinder=?

we have

total surface area of cylinder=2πr²+2πrh

total surface area of cylinder40π or 125.66cm².

Find the surface area of the cylinder.

Substituting the values given in the formula, We get,

⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )

⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )

⇒ Area of cylinder = 2 × 3.14 × 20

Calculating further, We get,

⇒ Area of cylinder = 125.66 cm²

Answer:

1. A director wants to know what his singers do before a performance. - Survey

2. A director wants to know who his best soprano is. - Observational Study

3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study

4. A director wants to know what musical is the most popular in the community. - Survey

Step-by-step explanation:

I just took the same quiz :)

Answer:

a. 3/10

b. 25 people

Step-by-step explanation:

a. 12/40

simplify

3/10

b. 40 people so multiply everything by 5

5 x 5 =25 people

Answer:

a) 30%   & b) 25

Step-by-step explanation:

16+7+5+12 = 40

a) 12/40 = 0.3 = 3%

b) 5/40 = .125

    200 x .125 = 25

Answer:

1) 113.1

Step-by-step explanation:

6 x 6 = 36 x Pi(3.14)

Answer:

2) 49.135

Step-by-step explanation:

The area of the triangle is 24. The area of the "half circle" is 25.1.

Add them together, and get 49.135.

Hope this Helps!

-kiniwih426

Answer:

x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .

=> D = √{ (-7-4)²+(0-7)²}

=> D = √ 11² + 7²

=> D = √ 121 +49

=> D = √170

Now using the standard equation of circle ⭕ ,

=> ( x - h)²+(y-k)² = r²

=> ( x - 4)²+(y-7)²= (√170)²

=> x² + 16 -8x + y² + 49 -14y = 170

=> x² + y² -8x -14y = 170 -65

=> x² + y² - 8x -14y - 105 = 0

Answer: 36

Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540

Answer:

36 Crew members

Step-by-step explanation:

Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.

Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.

1/15=0.06666666667...

36/540=0.06666666667...

There's probably other ways to solve this, this is just how I did it.

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

Answer:5,4

Step-by-step explanation:

Answer:

I think the answer is 4,5.

Step-by-step explanation:

in a coordinate grid your suppose to start X axis then the y axis so if you go 6 units left and going 4 units down then I think your answer might be 4,5. i really hope this helps out and this is right!-

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

Answer:

15 ft^3

Step-by-step explanation:

Sand needed can be determined by calculating the volume of a pyramid

Volume of a pyramid = 1/3 x ( length base x height)

1/3 x ( 4.5 x 4 x 2.5) = 15 ft^3

Answer:

5

Step-by-step explanation:

Answer:

x = 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

there's no x in the equation you wrote.

Did you mean?

2x + 8 = 15

Subtract 8 from both sides

2x = 7

Divide both sides by 2

x = 7/2

x = 3 [tex]\frac{1}{2}[/tex]

Answer:

242

Step-by-step explanation:

Circles have a total of 360°

mDBG does not include mBA or mGA

This means that mDBG = 360 - ( mBA + mGA )

mBA = 28° ( this is given )

mGA = 90° ( this is also given; it's indicated by the right angle )

Thus, mDBG = 360 - ( 28 + 90 )

28 + 90 = 118

mDBG = 360 - 118

360 - 118 = 242

Hence, mDBG = 242

Answer:

A & C

Step-by-step explanation:

for A - and + is always -

so 2.3-2.3 =0

for C - and - is always + so

-2.6--124 = -2.6+124

=121.4 which is positive

Answer:

x < 3

Step-by-step explanation:

-3 - 6(4x+6) > - 111

-3 - 24x - 36 > -111

-24x - 39 > -111

-24x > -72

dividing by a negative flips the sign

x < 3

Answer:

true im not sure tho but trust me

Step-by-step explanation:

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

Answer:

57 miles per hour

Step-by-step explanation:

Find his average speed by dividing the total of miles he traveled by the number of hours:

456/8

= 57

So, this means he traveled 57 miles in one hour.

His average speed was 57 miles per hour

Answer:

Mary bought 6 pounds of coffee

Step-by-step explanation:

80 - 30.74 = 49.26

49.26 divided by 8.21 =6

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Answer:

A. y = -3/2x + 9

Step-by-step explanation:

In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.

Answer:

a

Step-by-step explanation:

any two points on the line are

(0,9 ) and (4,3)

slope=(3-9)/(4-0)=-6/4=-3/2

y intercept is 9

so eq. of line is y=-3/2x+9

Answer:

it would be four games because take away the 4 dollars and then add 5x4 together

Answer:

8 cm wide.

Step-by-step explanation:

5440/34/20=8 .

Answer:

???

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

36          75%

----     =   -----

?            100%

36 * 100 = 3600

3600 / 75 = 48

Answer:

$4871.25

Step-by-step explanation:

You know that the dirt bike has been "marked down," so to find the percentage of the original cost, subtract 0.12 from 1 to get 0.88. Then, define x as the original cost, and set up an equation:

0.88x = 4286.70

You know that 4286.70 is 88% of the original cost, so 0.88 times the original cost will equal the marked down cost. Now, divide both sides by 0.88 to get the answer:

x = 4871.25

Answer:

x=4

y=103 degree

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

there's 2 open point lying on x equals 0