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coldgirl [10]
4 years ago
6

The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in flor

ida at 17 5/12 feet. Which is the differnce in their lenghth
Mathematics
1 answer:
astraxan [27]4 years ago
3 0

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = 14\frac{5}{12} = \frac{173}{12}

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = 17\frac{5}{12} = \frac{209}{12}

Now Let us find the difference between the lengths:

\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3

Therefore the difference in the lengths of the two alligators = 3

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A) 90 clockwise
nydimaria [60]

Answer:

A.) 90 clockwise

E.)270 Counter Clockwise

Step-by-step explanation:

A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

E.) Ro, 270 Counter Clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

6 0
3 years ago
During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
AnnyKZ [126]

The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

 

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

 

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

 

The complete equation is:

y = 25x + 225

 

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

5 0
4 years ago
Madison has a collection of 220 coins. How many coins represent 5% of her
ella [17]

Answer:

11

220/x=100/5

(220/x)*x=(100/5)*x       - we multiply both sides of the equation by x

220=20*x       - we divide both sides of the equation by (20) to get x

220/20=x

11=x

x=11.

4 0
3 years ago
Read 2 more answers
Solve the triangle.<br><br> a = 10, b = 23, C = 95°
gayaneshka [121]
C² = a² + b² - (2ab * cosC) 
<span>c² = 10² + 23² - (2 * 10 * 23 * cos95) </span>
<span>c² = 100 + 529 - (460 * -.08715) </span>
<span>c² = 629 - (-40.1) </span>
<span>c² = 669.1 </span>
<span>c = 25.87 </span>

<span>(Sin C) / C = (Sin A) / A </span>
<span>(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 </span>
<span>(10 * Sin95) / 25.87 = Sin A </span>
<span>A = arcsin ((10 * sin95) / 25.87) </span>
<span>A = 22.65º </span>

<span>B = 180 - A - C </span>
<span>B = 180 - 95 - 22.65 </span>
<span>B = 62.35º </span>

<span>I hope this helps. Have a good day.</span>
3 0
4 years ago
Help me please <br> i need this for now
Vlad [161]
The main property is  as follow
(A^p)^q=A^pxq
so only Sam's work is correct because
(8^4)^5 x(7^3)^9=(8^4x5)x(7^3x9)=8^20x 7^27
7 0
3 years ago
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