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3 years ago

If C is the hypotenuse of the right triangle ABC with sides A, B, C, and A=12, B=5, then C= ?

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

Step-by-step explanation:

To solve for any missing side of a triangle, simply use the Pythagorean Theorem.

$a^2 + b^2 = c^2$

$c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}$

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Ava wrote the expression 4 minus 2 Over 3 minus 1 to determine the slope of a line. Which table might represent Ava’s line?

Genrish500 [490]

Answer:option 3

Step-by-step explanation:i got it right

6 0

3 years ago

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Help please now i cant figure it out

12345 [234]

Answer:

a. $\frac{-11}{24}$

b. $\frac{-3}{2} \\$

c. $\frac{31}{7}$

d. $\frac{11}{16}$

11, 3, 31, 11 = code

Step-by-step explanation:

a. $\frac{-1}{6}\\$ * 2 $\frac{3}{4}$ =

2 $\frac{3}{4}$ = $\frac{4*2+3 }{4}$ = $\frac{11}{4}$

$\frac{-1}{6}\\$ * $\frac{11}{4}$ = $\frac{-1*11}{6*4}$ = $\frac{-11}{24}$

b. $\frac{3}{16}$ / $\frac{-1}{8}$ =

$\frac{3}{16}$ * $\frac{8}{-1}$ = $\frac{3*8}{16*-1} \\$ = $\frac{24}{-16}$ = $\frac{-3}{2} \\$

c. $\frac{-31}{56}$ * $\frac{-8}{1}$ = $\frac{31}{7}$ (you can reduce 8 & 56 by dividing by 8: 56/8=7 & -8/8= -1)

d. 1 $\frac{7}{8}$ / 2 $\frac{8}{11}$ =

1 $\frac{7}{8}$ = $\frac{8*1+7}{8}$ = $\frac{15}{8}$

2 $\frac{8}{11}$ = $\frac{11*2+8}{11}$ = $\frac{30}{11}$

$\frac{15}{8}$ * $\frac{11}{30}$ = $\frac{11}{16}$ (you can reduce 15 & 30 by dividing by 15: 15/15=1 & 30/15 = 2)

4 0

3 years ago

Which graph represents the circle given by the equation x + y - 4x + 9y -7 = 0?

PSYCHO15rus [73]

The graph of the circle equation is graph (d)

<h3>How to determine the circle?</h3>

The equation is given as:

x^2 + y^2 - 4x + 9y -7 = 0

Rewrite as:

x^2 - 4x + y^2 + 9y = 7

Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.

So, we have:

(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25

Evaluate the sum

(x - 2)^2 + (y + 3)^2 = 31.25

A circle equation is represented as:

(x - h)^2 + (y - k)^2 = r^2

Where

Center = (h, k)

Radius = r

So, we have:

(h, k) = (2, -3)

r^2 = 31.25

r = 5.5

The circle that has a center of (2, -3) and a radius of 5.5 is graph d

Hence, the graph of the circle equation is graph (d)

Read more about circle equation at:

brainly.com/question/1559324

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5 0

2 years ago

David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions below is shown some informat

andrew11 [14]

The required diagram is attached in the picture below :

Answer:

15.05 miles

2 :09:12

5 hours 19 minutes 18 seconds

Step-by-step explanation:

Given :

28/4/18:

Time : 1 :03 : 25

Fastest mile = 02 : 25

Distance = 15.05 miles

03/5/18:

Time : 2:06: 41

Fastest mile = 02 : 53

Distance = 28.70 miles

08/5/18:

Time : 2 :09:12

Fastest mile = 02 : 45

Distance = 26.39 miles2

1.) shortest distance cycled :

From the data:

15.05 < 26.39 < 28.70

Shortest distance cycled = 15.05 miles

The longest the cycled:

1 :03 : 25 < 2:06: 41 < 2 :09:12

Longest = 2 :09:12

Total cycling time :

1 :03 : 25 + 2:06: 41 + 2 :09:12

(1 + 2 + 2)= 5 hrs

(03 + 06+ 09) = 18 minutes

(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds

18 minutes + 1 minute = 19 minutes

Total = 5 hours 19 minutes 18 seconds

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3 years ago

Triangles △ABC and △DFG are similar. The lengths of the two corresponding sides are 1.4m , and 56 cm. What is the ratio of the p

Feliz [49]

<h3>Answer:</h3>

5/2

<h3>Step-by-step explanation:</h3>

The ratio of perimeters is the same as the ratio of corresponding sides:

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3 years ago

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