The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answer:

3.

7d=7x7=49

2g=2x10=20

49-20 = 29

Step-by-step explanation:

4.

bc=8x2 = 16

c^3= 2x2x2 =8

bc - c^3 = 16-8 =8

Given :

Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.

To Find :

At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.

Solution :

We know, volume of a cone is given by :

[tex]V = \dfrac{\pi r^2h}{3}[/tex]

Also, h = r/5

r = 5h

[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]

Differentiating above equation w.r.t h, we get :

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]

Hence, this is the required solution.

Answer:

67

Step-by-step explanation:

The number of prime numbers between the whole numbers 60 to 80 is 5 which are 61, 67, 71, 73, and 79.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.

The prime number between 60 and 80 is given below.

61, 67, 71, 73, and 79

The number of prime numbers between 60 to 80 is 5 which are 61, 67, 71, 73, and 79.

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Answer:

240 miles/ 8 miles

Step-by-step explanation:

you can't measure a mile per mile (/=per)

Answer:

n = 5/2

Step-by-step explanation:

Add all of the sides up to make an equation

(5n - 6) + n + (2n + 1) = 15

8n -5                          = 15

8n  =  20

n    = 5/2

Answer:

[tex]0.4cm[/tex]

Step-by-step explanation:

[tex]n + 2n+1 + 5n-6 = 15\\[/tex]

[tex]8n -5 = 15[/tex]

[tex]8n = 20[/tex]

[tex]n = \frac{8}{20}[/tex]

[tex]n = 0.4[/tex]

[tex]\therefore[/tex] the value of [tex]n[/tex] is [tex]0.4cm[/tex]

Hope this helps :)

Answer:

Yes. Her sample is unrepresentative of the population in her community.

Step-by-step explanation:

a) Data and Calculations:

Population                Study  Census %     Representative       Over/Under

                               Sample                           Sample              Representation

Whites                       300        48%           288 (48% * 600)         12

African Americans      80         12%             72 (12% * 600)           8

Latinos                       100         18%           108 (18% * 600)           (8)

Asians                         40          9%             54 (9% * 600)           (14)

Others                        80         13%             78 (13% * 600)            2

Total                         600      100%          600                                0

b) There is selection bias in her sample. A representative sample of 600 is the subset of a population that seeks to accurately reflect the characteristics of the larger group.   When the sample for each category does not accurately represent the characteristics or attributes of the population categories, then it is unrepresentative.

Sampling is the collection of randomly chosen data from the entire population to come to an end conclusion about the variable to be determined or known.

Yes, the sample is unrepresentative of the entire population.

The reason for the sample being unrepresentative of the entire population in her community is that the selected sample is deviating a lot from the population count.

As per the computation, there is selection bias in her sample. This is because the representative sample is 600 that represents the entire population and reflects the characteristics of the larger group.

The sample becomes unrepresentative when the sample chosen does not accurately represent the true attributes of the population.

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Answer:

6.25

Step-by-step explanation:

Since 2.5 is squared, we should multiply it by itself once which will give us 6.25

Answer:

2.5^2 = 6.25

Step-by-step explanation:

2.5^2 is basically the same thing as 2.5*2.5, so you can do these either way if you like.  You should get 6.25 as your result of the answer.

Answer:

Brand B is cheaper by 0.17 per pound.

Step-by-step explanation:

Brand A = 47.7/45 = 1.06

Brand B = 48.95/55 = 0.89

Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.

Given:

One airplane is at 7,000 feet and is descending 50 feet every second.

Another plane is at  1,000 feet and is climbing at a rate of 70 feet per second.

To find:

The time taken by planes to reach at the same height.

Solution:

Let x be the number of seconds after which the planes be at the same height.

One airplane is at 7,000 feet and is descending 50 feet every second.

Change in 1 second = -50 feet   (Here negative sign means decrease)

Change in x second = -50x feet

Height of first airplane after x seconds is

[tex]f(x)=7000-50x[/tex]           ...(i)

Another plane is at  1,000 feet and is climbing at a rate of 70 feet per second.

Change in 1 second = 70 feet

Change in x second = 70x feet

Height of first airplane after x seconds is

[tex]g(x)=1000+70x[/tex]     ...(ii)

Equate (i) and (ii), to find the time after which both planes are on the same height.

[tex]7000-50x=1000+70x[/tex]

[tex]7000-1000=50x+70x[/tex]

[tex]6000=120x[/tex]

Divide both sides by 120.

[tex]50=x[/tex]

Therefore, both planes are at the same height after 50 seconds.

Answer:

Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Step-by-step explanation:

Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Answer:

54 coins left

Step-by-step explanation:

72 x .25 = 18

72 - 18 = 54

Answer:

100% - 25% = 75%

72 x 0.75 = 54

He had 54 coins left

Step-by-step explanation:

Ok, to solve this question, first divide 72 by 100--- 72/100=.72

next, multiply .72*25 and u get--- 18

next subtract 72 and 18--- 72-18=54

the answer is the boy has 54 coins left

hope this helps!

Answer:  I cant see the pic clearly

Step-by-step explanation:

Answer:

i can't see pic clearly

Answer:

12 boxes will be needed.

Answer:

12 boxes

Step-by-step explanation:

144/12=12

or

1-12x?=144

2-12x10=120

3-12x2=24

4-120+24=144

Answer:

[tex]\boxed{26}[/tex]

.

Step-by-step explanation:

First step, find the value of tilted line. use pythagoras

[tex]c^2 = a^2 + b^2[/tex]

[tex]c^2 = 3^2 + 4^2[/tex]

[tex]c^2 = 9 + 16[/tex]

[tex]c^2 = 25[/tex]

[tex]c = \sqrt{25}[/tex]

[tex]c = 5[/tex]

.

So, the primeter is

[tex]= 2(5) + 4 + 12[/tex]

[tex]= 26[/tex]

Answer:

x = 1

Step-by-step explanation:

1 + x = 2

Subtract 1 form both sides,

1 + x - 1 = 2 - 1

       x  = 1

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Answer:

You would get 14.6

3 squared (3×3) equals 9 and 4 cubed (4×4×4) equals 64. Adding 9 and 64 equals 73. 2 plus 3 equals 5 and 73 divided by 5 is equal to 14.6

Answer: C.0

x + 45 is the angle outside the circle of shield 2 arcs with measurements 55 and 145

=> x + 45 = 1/2.(145 - 55)

⇔ x + 45 = 1/2. 90

⇔ x + 45 = 45

⇔ x = 0

Step-by-step explanation:

Answer:

The measure of the other angle is 66°.

Step-by-step explanation:

Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :

90° + 24° + θ = 360°

114° + θ = 180°

θ = 66°

Answer: it only included professional golfers

Step-by-step explanation:

It said it was right

The company's claim is incorrect. Only professional golfers took part.

The Head Golf Professional is responsible for continuously developing and implementing all service standards through careful hiring and employee training. Furthermore, he or she is in charge of maximizing income in all aspects of the golf operation while staying within the allocated budget.

There's a lot more to being a professional golfer than meets the eye. For example, did you know that their hourly wage is $18.81 on average? That works out to $39,134 per year! Between 2018 and 2028, the career is expected to grow 11%, resulting in 30,500 job openings nationwide.

To be certified as a professional golfer by the PGA, you must either have a bachelor's degree in a related discipline, such as professional golf management, or have completed the PGA professional golf management apprenticeship program.

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Answer:

yea sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as

D =√(x2-x1)²+(y2-y1)²

Given the coordinates (0,0) and (8,5)

D = √(5-0)²+(8-0)²

D = √5²+8²

D = √25 + 64

D = √89

D = 9.43

Hence the distance between the life guard and the swimmer is 9.43

Answer:

C

Step-by-step explanation:

Going by order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction), you add the 2 and the 9 first due to them being in parenthesis. You then multiply by 5.