A circle has a diameter of
16".
What is the approximate
Circumference? What is the approximate area?

Answer:

given below

Step-by-step explanation:

1 a. Sample space : 2 green, 1 red, 10 blue

b. Sample space : top surface, bottom surface, curved surface ( side)

c. shooting a free throw in a basketball game ( sorry I dont know this one )

Answer:

Below

Step-by-step explanation:

2x + 5 > -1

Treat the equality sign (ex. < >) as the costumary equal sign (=).

2x + 5 + (-5) > -1 + (-5)  ---- -5 will cancel out the 5 on the left

2x/2 > -6/2  ------ divide by 2 to single out the x

x > -3

Remember to draw an open dot. Draw an arrow from -3 to the extreme right.

Answer:

1567.752

Step-by-step explanation:

1000g = 1 kg. Before you can add them together, you have to multiply the vegetables and corn oil by 0.001 so that they are now in the unit of Kilograms. Then just add all of them together

Answer:

1567.752

Step-by-step explanation:

The angle between the two forces of 560 N and 222 N is 80.96°

The resultant of two vectors P and Q refer to the magnitudes of the vectors and it can be expressed by the formula [tex]\mathbf{R = \sqrt{P^2 +Q^2 +2PQ cos \theta }}[/tex]

Now, using the above equation, we can easily determine the angle between the forces of the two vectors as follows:

[tex]\mathbf{634 = \sqrt{560^2 +222^2 + 2(560 \times 222) \ Cos \theta }}[/tex]

[tex]\mathbf{401956 =313600 +49284 + 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{401956 -313600 -49284 = 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{39072= 248640 \ Cos \theta }}[/tex]

[tex]\mathbf{ Cos \theta = \dfrac{39072}{248640}}}[/tex]

[tex]\mathbf{Cos \theta =0.1571}[/tex]

[tex]\mathbf{ \theta =80.96^0}[/tex]

Therefore, we can conclude that the angle between the forces is 80.96°

Learn more about the resultant of two vectors here:

https://brainly.com/question/19802988

Answer:

A

Step-by-step explanation:

writting only because answer need 20 words

Answer:

???

Step-by-step explanation:

Answer:

a(2)+2(1)=8

2a+2=8

2a=8-2

2a=6

a=3

Answer:

$46,800,000

Step-by-step explanation:

1. Find the total number of shares that Live Fund has.  They have 24% of the total shares, which is 78,000.  To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24.  This gives us 18720 shares.

2. Since they are selling half of their shares, divide their total number of shares by 2.  This gives us 9360.

3. Each share is worth $5000, so multiply 9360 by 5000.  This gives us a final answer of $46,800,000.

Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.

Answer:

150 feet

Step-by-step explanation:

a²+b²=c²

90²+120²=c²

8100+14400=22500

√22500 = 150

c = 150 feet

Answer:

13cm

Step-by-step explanation:

In this case you have to use the Pythagorean theorem.

cy = 24/2

cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..

ac=5 cm (given)

now,

ay^2= 25cm + 144 cm

ay^2 = 169 cm

√169 = 13 cm

Answer:

13 cm

Step-by-step explanation:

Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.

From there, we can say that XC is 1/2 of 24 cm, or 12 cm.

We can then form triangle ACX use the Pythagorean theorem to find the length of AX.

The square root of 12^2 + 5^2 is 13.

Therefore, the radius of the circle is 13 cm

Answer:

40

Step-by-step explanation:

Answer:

D. d-0.29

Step-by-step explanation:

29÷(0.29)=100

29÷0.29=100

They both equal 100 meaning that D is the answer.

Answer:

This is how i arrived at an answer 25

[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

500 miles/ 25 = 20 x 0.50 = $10

He will save a total of $10

20-4 = $16

it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.

Answer:

Most people use 3 or 3.14

Answer:

your answer is B. 8

Step-by-step explanation:

Substitute x for 8.

2(8)+10

16+10=26

Answer:

x to the 3rd power

Step-by-step explanation:

x+x to the 2nd power = x to the 3rd power

Step-by-step explanation:

The area is the sum of three figures

A = 1*1 + 1*x + x²

   = x² + x + 1

The perimeter is the sum of border segments

P = x*4 + 1*4

  = 4x + 4

Answer:

27½

Step-by-step explanation:

7½×3⅔=((7×2+1)/2) × ((3×3+2)÷3)

= (15×11)÷6=165/6

165/6= 27½

The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] simplifies to [tex]3\frac{5}{6}[/tex].

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] is 15/2 - 11/3.

Now, LCM of 2 and 3 is 6.

∴ (45 - 22)/6.

= 23/6.

= [tex]3\frac{5}{6}[/tex]

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Step-by-step explanation:

solution for the triangle ABC

Answer:

X⁶

Step-by-step explanation:

x⁹/x³

= x⁹-³

= x⁶ is the answer

Answer:

E. [tex]x^{6}[/tex]

Step-by-step explanation:

To divide two fractions we subtract the power of second expression from the first one:

[tex]x^{(9-3)} = x^{6}[/tex]

Answer:

integers are not fractions so there you go

Answer:

Step-by-step explanation:

Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.

Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)

So the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.

Let's find the probability of choosing the second girl from here.

However, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.

Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.

 Probability of choosing two girls. Let's use T for Two girls.

     P(T) = P(G1) × P(G2) = (11 /25) × (10/24)

From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.

                   = 0.19     = 19 / 100      = 19%

Answer:

6   6, 7, 7

7    0, 1, 2, 4, 4, 5, 6, 7, 7, 8

8    0, 3

9    0

Step-by-step explanation:

If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.

Answer:

The answer is 35 degrees

Step-by-step explanation:

Subtract 105 degrees and 40 degrees from 180 degrees

So just 180 - 105 - 40 =35

Answer:

35 degrees

Step-by-step explanation:

I think you meant to say

[tex]\ln(x+y) = 4xy[/tex]

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.

Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives

[tex]\dfrac{1+\frac{dy}{dx}}{x+y} = 4y + 4x\dfrac{dy}{dx}[/tex]

[tex]\implies \dfrac{dy}{dx} = \dfrac{4xy+4y^2-1}{1-4x^2-4xy}[/tex]

Note that when x = 0 and y = 1, we have dy/dx = 3.

Differentiate both sides again with respect to x :

[tex]\dfrac{d^2y}{dx^2} = \dfrac{(1-4x^2-4xy)\left(4y+4x\frac{dy}{dx}+8y\frac{dy}{dx}\right)-(4xy+4y^2-1)\left(-8x-4y-4x\frac{dy}{dx}\right)}{(1-4x^2-4xy)^2}[/tex]

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

[tex]\dfrac{d^2y}{dx^2} \bigg|_{x=0} = \boxed{40}[/tex]