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nirvana33 [79]
3 years ago
7

The wheel of a bike has a diameter of 27 inches. Find the circumference of the wheel. Round your answer to the nearest whole num

ber.
A. about 42 inches
B. about 85 inches
C. about 170 inches
D. about 572 inches
Mathematics
2 answers:
emmainna [20.7K]3 years ago
7 0

the Answer is 85 inches

Readme [11.4K]3 years ago
4 0
By definition, the circumference is given by:
 C = 2 * pi * R
 Where,
 R: Radio
 Substituting values we have:
 C = 2 * pi * (27/2)
 C = 84.82300165 in
 Round to the nearest whole number:
 C = 85 in
 Answer:
 
The circumference of the wheel is:
 
B. about 85 inches
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A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write  

\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}

⇒ AC = 1.7 \times \cos 28 = 1.5 nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

3 0
3 years ago
Write the quadratic function in standard form.<br><br> y=2(x - 3)² +9
xz_007 [3.2K]

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

<u>Step 1:  Distribute the power</u>

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

5 0
3 years ago
Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5
givi [52]
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0
3 years ago
Write a two column proof 2x+6 and 96 prove: x=45
viktelen [127]
2x+6=96
2(45)+6
90+6=96
96=96
hope this helps u out!
6 0
3 years ago
Simplify the following question<br>x+9-10=500
Katarina [22]

Step-by-step explanation:

x+9-10=500

x-1=500

x=500+1=501

3 0
3 years ago
Read 2 more answers
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