Fill in the blank to complete this trig
ratio.
y
tan a =
a
Х
[?]
B
N
B
С
у
Z

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

Answer:

circumference = 100.48 ft

Step-by-step explanation:

circumference = 32 x π = 100.48 ft

Answer:

100.53 ft

Step-by-step explanation:

Answer:

-2x + (-3) = x

x = -1

Step-by-step explanation:

-2x + (-3) = x

add 2x to each side

-3 = 3x

divide each side by 3

-1 = x

Store A answer:

$0.32

Store A explanation:

You divide the cost by the number of ounces, so 3.81 / 12, which equals 0.3175, which rounded to the hundredths place is $0.32

Store B answer:

$0.37

Store B explanation:

You divide the cost by the number of ounces, so 1.10 / 3, which equals 0.3666667, which rounded to the hundredths place is $0.37.

Overall answer:

A

Overall explanation:

The price per ounce at store A is less then the price per ounce at store B.

Hope this helps!!!

Answer:

D:  y = 4x^2

Step-by-step explanation:

The graph for which the absolute value of the coefficient of x is largest has the narrowest graph.  That takes us immediately to D:  y = 4x^2.

Answer:

Hello! Sorry bots answered to quick for last problems

Answer: D. 64

Answer:

If it's spun just once, there are 5 outcomes because there are 5 color options to land on.

Step-by-step explanation:

Answer:

a=82°

Step-by-step explanation:

a+98°=180° since they are supplementary

Answer:

a = 82

Step-by-step explanation:

180 - 98 = a

a = 82

Have a nice day!

Answer:

one of them

Step-by-step explanation:

Answer:

0.6820

Step-by-step explanation:

Given data

Angle= 47°

Hence we want to find

cos 47°

From calculator

cos 47°=0.681998

to 4 dp

0.6820

Answer: 0.6820

Step-by-step explanation: I did the quiz

Answer:

Median #1: 10.5

Q1 #1: 5.5

Q3 #1: 19

IQR #1: 13.5

Median #2: 14

Q1 #2: 3

Q3 #2: 45

IQR #2: 42

Step-by-step explanation:

Question 1:

First order the data so that they are in order from least to greatest:

2, 5, 6, 8, 13, 16, 22, 24

Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.

2, 5, 6, 8, 13, 16, 22, 24

/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/

In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.

(8+13)/2 = 10.5

To find the first quartile, find the median of all values below the median.

2, 5, 6, 8

/2/, /5/, /6/, /8/

The median of these values is the average of the center two, so

(5+6)/2 = 5.5

The third quartile is the median of all values above the median.

13, 16, 22, 24

/13/, /16/, /22/, /24/

The median of those values is the average of the center two as well, so

(16 + 22)/2 = 19

The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)

Q3 - Q1

19 - 5.5

IQR = 13.5

Question 2:

Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.

1, 3, 7, 14, 21, 45, 63

/1/, /3/, /7/, 14, /21/, /45/, /63/

The center value is 14, so the median is 14.

The first quartile can be found by finding the median of all values below the median.

1, 3, 7

/1/, 3, /7/

The first quartile is 3.

The third quartile can be found by finding the median of all values above the median.

21, 45, 63

/21/, 45, /63/

The third quartile is 45.

The interquartile range can be found using the equation from above.

Q3 - Q1

45 - 3

The interquartile range is 42.

Answer:

its 12

2×72=x^2

Step-by-step explanation:

i will sent the Formula in picture

Answer: b is 5/4

Step-by-step explanation:

Answer:

Susan initially has 4 blue counters.

If she doubles them, she will have twice that amount, or:

2*4 = 8 blue counters.

Now if she shares them equally with Sam, the total number of blue counters will be divided between the number of people in which the counters are being shared.

The counters are being shared between 2 people, then each one of them gets:

8/2 = 4 counters.

And in this way, Susan has the same number of counters that she had when she started.

Why does this happen?

Because at the start, she has an integer N and multiplies it by 2 to get 2*N

And then she divides that amount by 2

2*N/2 = N

So she is multipliying and dividing by the same number, so N does not change in the process.

Answer:

[tex]x = 3.072 * 10^{-5}[/tex]

Step-by-step explanation:

[tex]x = 12*0.2^8[/tex]

[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]

[tex]x = 3.072E-5 = 0.00003072[/tex]

Answer:

5

Step-by-step explanation:

Add the numbers together, then divide that by the amount of numbers

(2 + 7 + 6 + 1 + 9 + 2 + 4 + 9)/8

40/8 = 5

Answer:

3(a+4)

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Let

x = number of miles on the math course

There are 8 times as many males as females

Number of females = 8x

Total students of the course = number of males + number of females

= x + 8x

= 9x

Total students of the course = 9x

What fraction of the course are female?

Fraction of the course that are females = number of females / Total students of the course

= 8x / 9x

= 8/9

Fraction of the course that are females = 8/9

Using the vertical asymptote concept, it is found that there is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.

----------------------------------

A vertical asymptote of a function happens at a point outside the function domain.

----------------------------------

In this question, the function is:

[tex]f(x) = \frac{8(x - 8)^2}{(x - 8)^2}[/tex]

In a fraction, the denominator cannot be 0, which could lead to a vertical asymptote at x = 8. However, the term with (x - 8) in the denominator can be factored out of the expression, and thus, an equivalent function is:

[tex]f(x) = 8[/tex]

And the limit at x = 8 will be:

[tex]\lim_{x \rightarrow 8^-} f(x) = \lim_{x \rightarrow 8^+} f(x) = 8[/tex]

Not opposite, so the correct option is:

There is not a vertical asymptote at x = 8 because [tex]\lim_{x \rightarrow 8^-} f(x)[/tex] and [tex]\lim_{x \rightarrow 8^+} f(x)[/tex]are not opposites.

A similar question is given at https://brainly.com/question/23535769

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  57°

Step-by-step explanation:

TD is a diameter, so arc TCD is 180°. Then arc CD is ...

  CD = arc TCD -arc TC

  CD = 180° -123°

  arc CD = 57°

Find the measure of arc CD in P.

Because Arc TC and Arc CD comprise the Arc TCD,

⇒ Arc TC + Arc CD = Arc TCD

Substituting the values given, We get,

⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )

Now, Transposing 123° to Right Hand Side, We get,

⇒ Arc CD = 180° - 123°

⇒ Arc CD = 57°

∴ Arc CD = 57°

Arc CD measures 57°

Answer:

96

Step-by-step explanation:

Your basically saying 48*2 by (48)2

Just multiply and get 96

Answer:

120

Step-by-step explanation:

120120120120120120120120120

Answer:

11 = A

12 = H

13 = D

14 = H

Step-by-step explanation:

11.

6 x 1 = 6

12.

10 - -4 or 10 + 4  =  14

13.

9 + 6 = 15

14.

[tex]\frac{-12}{6}[/tex]= -2

Answer:

11. B= -6

12. H= 14

13. D= 15

14. H= -2

Step-by-step explanation:

did you need the rest or just number 11?

there is not enough info given to tell how long it would take

if i understand the question it's 25

Step-by-step explanation:

6/21 equal 10/10+x

info x is GJ

6x=150

x=25

i used the similarity in trangle formula because he sayed that FG is parelel to HJ

A- When one variable increases the other variable decreases. :)

Answer:

124

Step-by-step explanation: