What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.

Answer:

≈ 7.85 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r = [tex]\sqrt{225}[/tex] = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × [tex]\frac{30}{360}[/tex]

      = 2π × 15 × [tex]\frac{1}{12}[/tex]

      = 30π × [tex]\frac{1}{12}[/tex]

      = [tex]\frac{30\pi }{12}[/tex]

      ≈ 7.85 cm ( to 2 dec. places )

3/(x + 4) = (x + 2)/5

Multiply both sides by 5 :

5 × 3/(x + 4) = 5 × (x + 2)/5

15/(x + 4) = x + 2

Multiply both sides by x + 4 :

(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)

Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:

15 = (x + 4) (x + 2)

Expand the product on the right side:

15 = x² + 6x + 8

Move everything to one side:

0 = x² + 6x - 7

We can factorize easily in this case
0 = (x + 7) (x - 1)

Then

x + 7 = 0   or   x - 1 = 0

⇒   x = -7   or   x = 1

Total price = sale price x (1 + sales tax %)

total = 13.23 x ( 1 + 0.08)

total = $14.29

Answer:

$14.2884

original price: $13.23

with tax: 100% + 8% = 108%

cost with tax:

108% * $13.23

$14.2884

Answer:

4 cm

Step-by-step explanation:

Area of rectangle = Area of square

= 8 x 2

= 16 cm²

Side length = √Area

= √16

= √4 x √4

= 4 cm

Answer:

360 of the people were teenagers

Step-by-step explanation:

To find percentages you need to divide the number by 100

∴ 20% of 1800

=20 ÷ 100 ×1800

=360

∴ there were 360 teenagers at the concert.

Answer:50 feet

142+482=502

196+2304=2500

Step-by-step explanation:

Answer:

slope  =  1

Slope-intercept form: y = 1x + 4

Step-by-step explanation:

Hope this helps!

Answer:

no solutions

Step-by-step explanation:

The equation simplifies to 13 = -3, which is not true for any value of x.

Answer:

x = -12

Step-by-step explanation:

[tex]\frac{x}{6}=-2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}6[/tex]

[tex]\frac{6x}{6}=6\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-12[/tex]

~Learn with Lenvy~

Answer:

[tex]\rm\hookrightarrow[/tex] x = -12

Step-by-step explanation:

[tex]Solution,\\\\\rm\hookrightarrow \frac{x}{6} =-2\\\\\rm\hookrightarrow x=-2\times6\\\\\rm\hookrightarrow x=-12[/tex]

Answer:

12.8

Step-by-step explanation:

write it down on the calculator to get the result...

no. = 80 × 16% = 80 × (16/100) = 80 × 0.16 = 12.8

Answer:

4 degrees  :)

Step-by-step explanation:

All the interior angles must equal 180 degrees. So, we can do 180/45 which equals 4 degrees. Hope this helps. Btw all exterior angles equal 360 degrees, just in case you need to know that on your next assignment. Peace, man!

Answer:

Linear negative association

Step-by-step explanation:

All points are in a line, so it is linear.

As x increases, y decreases. That is a negative association.

Answer: Linear negative association

Answer:

Since BAF is the opposite of DAE, they are equal to each other. 134 - 89 = 45. The correct answer is 45

Step-by-step explanation:

Answer:

pistachios

Step-by-step explanation:

you pay more for the pistachios because $2.75 is greater than $2

Answer:

55.902m

Step-by-step explanation:

a^2 + b^2 = c^2
the diagonal line through the swimming pool is the hypotenuse that splits the pool into two equal right triangles

25^2 + 50^2 = c^2
625 + 2500 = c^2
3125 = c^2
root3125 = 55.902

Answer:

18 cm³

Step-by-step explanation:

To find the volume of a triangular prism, find the area of the cross-section (in this case, the triangle) and multiply it by the length.

The area of the triangle is 1/2 × 4 × 3 = 6 cm²

Now, multiply 6 by 3 to get 18 cm³

Hope this helps!

Answer:

3.5cm

Step-by-step explanation:

10mm = 1 cm

35mm = ?cm

35/10 = 3.5cm

Answer:

The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Step-by-step explanation:

Solution:

The side lengths can only be classified as a right triangle if it is a Pythagorean triple. To classify the side lengths as a Pythagorean triple, it must satisfy "c² = b² + a²".

Where:

Checking (5, 12, 13):

Checking (12, 35, 20√3):

Checking (5, 10, 5√5):

Checking (8, 12, 15):

Checking (20, 99, 101):

Answer:

D

Step-by-step explanation:

There are 3 adults going because when there are 9 students, there is one adult, so that means that you divide 9 from 27. The answer is 3. The last equation matches that operation because 9n means 9 multiplied with n is the same as 27.

Answer:

option D

Step-by-step explanation:

9 students = 1 adult

therefore, 9n = 27

I think 3 or maybe 2 because if ........

Answer:

JS is about 69.4

Step-by-step explanation:

Notice that the given side length JW = 67 is opposite to the given angle S = 44º. JS is adjacent to angle S, so we use the tangent function to solve for JS:

[tex]\tan 44^{\circ} = \frac{JW}{JS}\\\\\tan 44^{\circ} = \frac{67}{JS}\\\\JS = \frac{67}{\tan 44^{\circ}}\\\\JS = 69.3805[/tex]

Round JS to the nearest tenth, 69.4.

Answer:

JS is approx. 69.4

Step-by-step explanation:

This triangle is close to a 45-45-90 triangle. So you then know the answer should be close to 67 because the other side is the same. This leaves us with JS=64.7 and JS=69.4. Another rule says that the side with the smaller angle is greater. 69.4 is greater.

Answer:

No like terms

Step-by-step explanation:

Let's simplify step-by-step.

−2p3−3p2+7

There are no like terms.

Answer:

=−2p3−3p2+7

Answer:

There are 4 terms in the expression.

Step-by-step explanation:

Algebraic expressions :

A combination of constants and variables , connected by four fundamental arithmetical operations i.e addition , subtraction , multiplication and division is called an algebraic expressions

Terms:

Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression

EVALUATION

Here the given expression is

2p³ - 3p² + 4p + 7

Since Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression

So the terms are 2p³ , - 3p² , 4p , 7

We know that the number of terms in an algebraic expression is the total number of distinct terms in the expression

Pls, choose me as brainliest!

Step-by-step explanation:

c= 31.4

D= C/π

[tex]\longrightarrow[/tex] 10 yards

[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]

[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]

[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]

Answer:

umm i think for the coin its 50% maybe? because tails would be 1/2

Step-by-step explanation:

im not sure for the second one though D:

Answers and Explanation:

8. It is a fair coin, meaning it has 2 equal landing possibilities. The probability of the coin landing on Head or Tail is equal, so the answer is 1/2

250 contestants playing, means the coin is flipped 250 times. Multiply the probability of it landing on Tails by the number of contestants.

=> [tex]\frac{1}{2}*250=125[/tex] . Therefore 125 contestants are expected to win.

10. The sample space is made of 1-12, there are 12 numbers. Probability is equal to number of outcomes/ sample space

a. P(x>10) = 2/12 = 1/6

This is because there are 2 numbers greater than 10. They are 11 and 12.

b. P(x<5) = 4/12 = 1/3

There are 4 numbers smaller than 5 (1,2,3,4)

c. P(4,6,9) = P(x=4) + P(x=6) + P(x=9)

=> 1/12 + 1/12 + 1/2 = 1/4

It is 1/12 for all three because there's only one of each number in the sample space. We add because in probability 'OR' means 'ADD'.

Now multiply your probability by the number of times the solid was rolled for your final answer.

=> [tex]1/4*200= 50 times[/tex]

50 times is the final answer

Answer:

120

Step-by-step explanation:

took quiz it was correct!

Answer:

120

Step-by-step explanation: