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geniusboy [140]
2 years ago
6

A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

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Complete the table by filling in the elapsed tine.<br> Help pls
Sav [38]

Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

7 0
2 years ago
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Answer:

y = -3/2 x + 4

Step-by-step explanation:

y-4 = -3/2 ( x-0)

y = -3/2 x + 4

7 0
3 years ago
Urgent - Please help me with these questions!
Schach [20]

Answer:

1 thousand i think hope this helps!

Step-by-step explanation:

6 0
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PSYCHO15rus [73]

Step-by-step explanation:

In triangle,

<u> XYZ</u> <u>PYZ</u>

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XY = PY = 5cm

YZ = YZ (Common side)

<em><u>Hence</u></em><em><u>,</u></em>

As three sides of the two triangles are equal so,

<em><u>Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition </u></em>

7 0
2 years ago
The hocky team won 63 out of 84 games what percent of the games did the team win?​
Ronch [10]

Answer:

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Step-by-step explanation:

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So n(E)/n(S) = 63/84 = 3/4 = 0.75 = 75%

Feel free to comment if you have any questions! :D

6 0
2 years ago
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