Use the table below to determine the approximate height of the flag pole.

Answer:

D) Leave the conversion factor in fraction form

Step-by-step explanation:

Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal. The correct option is option D.

A conversion factor is a ratio expressed as a fraction that equals 1. When we use conversion factors to convert units, we multiply our original measurement by the conversion factor to get the same measurements expressed in new units.

If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal. Leave the conversion factor in fraction form.

Because there are two type of decimals:

Terminating decimal expansion means the decimal expansion of a number which stops after a certain number of decimal places. For example, if we divide 100 by 16, the answer comes out as 6.25.Since the number of decimal place in 6.25 is 2,i.e., it stops after a certain number of decimal places, it is called a terminating decimal expansion.

On the other hand, if the decimal expansion of a number does not stop at all, then it is called a non-terminating decimal expansion. For example, if we divide 100 by 7, then the answer comes out to be 14.28571428571…….. . The decimal expansion does not stop. This is known as a non-terminating decimal expansion.

In general, if a fraction has a denominator of the form 2^n*5^m, where m and n are non-negative integers, then it will have a terminating decimal expansion. For example, 100/16 has denominator 16 which is of the form 2^4*5^0, so it has a terminating decimal expansion.

If a fraction has a denominator which is not of the form 2^n*5^m, where m and n are non-negative integers, then it will have a non-terminating decimal expansion. For example, 100/7 has a denominator 7 which is not of the form 2^n*5^m so it has a non-terminating decimal expansion.

Hence, Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal.

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Answer:

54$ is the final selling price of the camera.

Hope this helps :)

Answer:

24/25 = 0.96

Step-by-step explanation:

there ya go XD

Answer:

3)  16

Step-by-step explanation:

these are alternate-interior angles which are congruent

10x-23 = 137

10x = 160

x = 16

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

Answer:

[tex]200\pi[/tex] or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].

Answer:

here... I want to help so if your real stuck, then use this app...

Step-by-step explanation:

https://photomath.app/en/

Answer:

when x=30, y = -21

Step-by-step explanation:

x = k/y

x = 42 y = -15

x = k/y

42 = k/-15

Cross product

42 * -15 = k

-630 = k

k = - 630

Find y when x=30

x = k/y

30 = -630/y

Cross product

30 * y = - 630

30y = - 630

y = - 630/30

y = -21

when x=30, y = -21

Answer:

6 hours.

Step-by-step explanation:

The formula sort of has to be invented.

Al

rate = 1 shed / 2 hours

Tom

rate = 1 shed / x hours.

Together.

rate = 1 shed / 1.5 hours.

Equation

1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.

1/2 + 1/x = 1/1.5          Put the fractions over a common denominator.

(x + 2) / 2x = 1 / 1.5   Cross Multiply

1.5(x + 2) = 2x           Remove the Brackets.

1.5x + 3 = 2x             Subtract 1.5x from both sides

3 = 2x - 1.5x

3 = 0.5x                    Multiply both sides by 2

6 = x

It would take Al 6 hours to do the shed on his own.

Answer: A

Step-by-step explanation: This is a rotation. An easy way to tell the difference between a rotation and a reflection is that the order of the points will not change in a rotation. For this problem, pre-image ABCD is still in the order of ABCD when mapped to the image. (You can still follow along the points in that order). When something is reflected, the points swap orders and you would not be able to follow the points in order.

Now that we know this is a rotation, Notice A’ B’ C’ and D’ are all left of the pre-image. This means the mapped image moves counter clockwise.

Answer:

all the answers are there in safari can  just check it

Step-by-step explanation

Answer:

14.3 yds.

Step-by-step explanation:

c=√a^2 +b^2

c=√14^2 +3^2

c=√=196+9

c=14.31782106327

c=14.3 yds.

Answer:

XZ = 14.32 yd

Step-by-step explanation:

Use the Pythagorean theorem

14^2 + 3^2 = XZ^2

196 + 9 = XZ^2

XZ^2 = 205

XZ = 14.32 yd

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

(x-2)^2+(x-4)^2 = 16^2

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Answer:

(v/8)×8 = v    and  2×8=16 so:

v/8 = 2

v = 16

Answer:

v = 16

Step-by-step explanation:

8 x 2 = 16

16/8 = 2

so v =16

Answer:452

Step-by-step explanation:

V = π r^2 h

= 3.14 * 3^2 * 16

= 3.14 * 9 * 16

= 452.16

2x + 3x + 5x = 180

10x = 180

x = 18

2x = 36, 3x = 54, 5x = 90

They add up to 180 (definition of sum of angles of a triangle.)

Answer:

a)-20

b)+15

c)-3

d)-300

e)-15

f)-5000

g)-400

h)-250

i)+420

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.

-  

Answer:

Theoretical probability is what is expected to happen, where as experimental probability is what happens when you test out that theory. There is a very unlikely chance that a concept in theory would be the same as a concept in action, therefore explaining why these answers are not alike.

Step-by-step explanation:

Hope this helps take off some stress from school, have a great day :))

Answer:

I think shape A is just reflected, and make Shape B.

The reflection line is on 2 of the y axis

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step:

[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]

Answer:

B and C

Step-by-step explanation:

A, when x = 0, y = 5

B, when x = 4, y = 3

C, when x = 12, y = -1

D, when x = 1, y = 9/2

Answer:

-4

Step-by-step explanation:

2x - 3 >2x-5/2

CLT

2x-2x < -5/2+3

The less than became greater than because a negative sign crossed it and because positive

Hence,

X =-4

Incase you need inequality line or graph be sure to tag or ask me

The solution set to this inequality solution set = ∅.

How to solve inequality equations?

An inequality is a mathematical expression using the symbols >, <, ≥, and ≤. Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains. On multiplying or dividing both sides with negative number changes the direction of inequality. If we flip the number, we just have to flip the inequality symbol also.

Inequality:

2x-3> 2x-5/2

2x - 2x > -5/2 + 3

2x - 2x > -2.5 + 3

0 > -2.5 + 3

0 > 0.5

This shows that solution set will not contain any elements, i.e. x ∈ ∅

Therefore, Solution set = ∅

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Answer:

10 ft. should be the answer if I did it correctly

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex] or 50%

Step-by-step explanation:

Cube has 6 sides = 3 odds and 3 even

probability is found using

[tex]\frac{number of favourable outcomes}{number of total outcome}[/tex] which is [tex]\frac{3}{6} or \frac{1}{2}[/tex]

1/2 = 50%

Answer:

7

Step-by-step explanation:

5-(-2) equals 7

das the answer 7

Answer:

D.  sin 18°

Step-by-step explanation:

sin 18 because 18 + 72 = 90

Answer:

negatively, the more the ice melts the high the sea level rises.

Step-by-step explanation:

from 2010 to 2011 the average ice mass decreased by 463 gigatons