Scarecrow and the Tin Man are walking in a field toward Emerald City! When they start walking, Scarecrow is 25 meters away and Tin Man is 40 meters away. Scarecrow is walking at a rate of 5 meters per minute and Tin Man is walking at a rate of 10 meters per minute. After how many minutes will Scarecrow and Tin Man be the same distance from Emerald City? What are two equations to solve this problem?

Answer: 16

Step-by-step explanation:

Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the 2 legs, and c is ALWAYS the hypotenuse.

Plug in the values and solve:

[tex]12^2+b^2=20^2\\144+b^2=400\\b^2=256\\b=16[/tex]

Answer:

9

Step-by-step explanation:

To solve this just take b (in this case 6x) divide it by 2 and then square it

which means that c=9

this will factor to (x+3)²

Answer:

6

Step-by-step explanation:

The median is the central number of a data set. To the left of 6, there are 5 data points. To the right of 6, there are also 5 data points. This means that 6 is the median.

Answer:

6

khan approved, it right.

Step-by-step explanation:

54^2 + a^2 = 90^2

2916 + a^2 = 8100

a^2 = 8100 - 2916

a^2 = 5184

take the square root of 5184

a = 72

you could have also guessed that its a 3 4 5 right triangle

all the sides are multiples of 3 4 or 5

Answer:

1/9

Step-by-step explanation:

1. aa

2. ab

3. ao

4. ba

5. bb

6. bo

7. oa

8. ob

9. oo

Answer:

anwser is 2/11

i took the quiz and picked 1/9 and it sayed that the anwser was 2/11

Answer:

Here is ur answer mate

Answer:

i guess it is B after mid term break formula

Answer:

A) Parallelogram and Rectangle

Step-by-step explanation:

A parallelogram has two pairs of parallel sides. Because a rectangle has two pairs of parallel sides AND 4 right angles, the first option is correct.

Answer:

Parallelogram and rectengle

Step-by-step explanation:

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

[tex]distance = \sqrt{ {(8 - ( - 8))}^{2} + {( - 6 - ( - 6))}^{2} } \\ = \sqrt{256} \\ = 16 \: units[/tex]

Answer:

x³ = 125

y¹ = 10

Step-by-step explanation:

x³

5³ = 125

y¹

10¹ = 10

Answer:

150

Step-by-step explanation:

(5*3) . (10*1) = 150

Hope this helps, good luck!

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Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

Answer:

x=-0.5 or x=-1/2

Step-by-step explanation:

Answer:

68 degrees

Step-by-step explanation:

That angle counts as 90 degrees, so all you need to do is subtract 90 from 22 because 90 degrees is the full angle.

90-22=68

Answer:

41

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Given :

3x + 1/4 y^2

For x = 3 ; y = 4

3(3) + 1/4(4^2)

9 + 1/4(16)

9 + 4

= 13

Answer:

10

Step-by-step explanation:

7.5/0.75=10

Answer:

10

Step-by-step explanation:

Answer:

D as likely as not.

Step-by-step explanation:

......

Answer:

Explanation:

P (even number) = 3/6 = 1/2

⇒ as likely as not

Answer:

sqrt 4^2+3^2=5

Answer:

[tex]Hypotenuse^2 = 5^2 + 2^2 = 25 + 4 = 29\\\\Hypotenuse= \sqrt{29}\\\\diagonal^2 = (\sqrt{29})^2 + 2^2\\\\diagonal^2 = 29 + 4 = 33\\\\diagonal = \sqrt{33} = 5.7445 = 5.8[/tex]

Answer:

37.9 degrees

Step-by-step explanation:

Using the law of sines, [tex]\frac{\sin(m\angle C)}{21}=\frac{\sin(47^\text{o})}{25}[/tex]. It follows that [tex]\sin (m\angle C) = \frac{21\sin(47^\text{o})}{25} \approx 0.6143371[/tex]. Therefore, [tex]m\angle C = \sin^{-1}(0.6143371)=37.9^\text{o}[/tex].

Answer:

Reject Null Hypothesis given that  P-value < ∝

Step-by-step explanation:

Applying the Five ( 5 ) step model and assuming ∝ = 0.05

First step : determine the Null hypothesis

H0 : Age and support for Anti-smoking = independent

Second step : Determine the alternate hypothesis

Ha : Age and support for Anti-smoking ≠ independent

Thirdly : Identify significance level ( ∝ ) = 0.05

4th step : Calculate the Test statistic and P-value

Chi-squared test = 36.1429 using excel function

P-value =  1 - CHISQ.DIST(36.1429, 1, TRUE)  < 0.0001

finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that

P-value < ∝

Answer:

I think you're missing some basic operations... but i'd love to help you so if you could let me know what the operations are I'd love to help :)

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

508/72=49

127/18=49

127=884

Answer:

the length of each side of the square are 6 cm

Answer:

A. 29

B. 11

C. 10

D. 12

Step-by-step explanation:

A. 180 - 122 = 58

58 divided by 2 = 29

-

B. 180 - 37 = 143

x = 11

5 x 11 = 55

8 x 11 = 88

55 + 88 = 143 + 37 - 180

-

C. the small box in a triangle means right angle = 90

90 - 68 = 22

(2x - 2) we subtract before finding out what x is

22 - 2 = 20

2x = 20 divide by 2  = 10

x is equal to 10

-

D. to find the total, you must figure out what each equation is to add them up to make 180.

(8x + 3) + (2x + 9) + 4x = 180

add up the numbers with x and the numbers without them

14x + 12 = 180

subtract 180 - 12 = 168

168 divided by 14 = 12

x = 12

Hope this helped !!