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sp2606 [1]
3 years ago
6

A clock face has a diameter of 10 inches. What is the area of the clock face?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

A = 78.5 in ^2

Step-by-step explanation:

Area of a circle = pi * r^2

The radius is d/2

r= 10/2

r =5

A = pi * r^2

Substitute r=5

A = pi *(5)^2

A = 25 pi

We know that pi is approximated by 3.14

A = 25 (3.14)

A = 78.5 in ^2

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Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the three jump ropes will be the same
Vesnalui [34]

Answer:

The length of each rope is 9.93 feet (Approx).

Step-by-step explanation:

As given

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes.

Each of the three jump ropes will be the same length.

Thus

Length\ of\ each\ rope = \frac{29.8}{3}

Length\ of\ each\ rope = 9.93\ feet(Approx)

Therefore the length of the each rope is 9.93 feet (Approx).



3 0
2 years ago
You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to
Nutka1998 [239]
 as we know that <span>If the 4" side of the card was scaled up to 10.5
 then the scaling factor is 10.5/4 = 2.625. 
The 5 side would  be the length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11. 

Thus, it is the 5 side which is scaled up to 10.5 and the scaling factor is therefore 10.5/5 = 2.1. 
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6 0
2 years ago
Find the perimeter<br> 12 in<br> 6.5 in<br> 6.5 in<br> 12 in
luda_lava [24]

Answer:

The perimeter is 37 inches (3 ft. 1 in.)

Step-by-step explanation:

24 + 13 = 37

12 x 2 = 24

6.5 x 2 = 13

4 0
2 years ago
Find all degree solutions in the interval 0° ≤ θ &lt; 360°. If rounding is necessary, round to the nearest tenth of a degree. Us
xenn [34]

Answer:

\theta_{1} \approx 30.473^{\textdegree}

\theta_{2} \approx 120.473^{\textdegree}

\theta_{3} \approx 210.473^{\textdegree}

\theta_{4}\approx 300.473^{\textdegree}

Step-by-step explanation:

The equation needs to be rearranged in terms of one trigonometric function:

5\cdot \sin 2\theta - 9\cdot \cos 2\theta = 0

5\cdot \tan 2\theta - 9 = 0

5\cdot \tan 2\theta = 9

\tan 2\theta = \frac{9}{5}

\theta = \frac{1}{2}\cdot \tan^{-1} \left(\frac{9}{5} \right)

The tangent function has positive values in the 1st and 3rd Quadrants. Then, the solutions are:

\theta_{1} \approx 30.473^{\textdegree}

\theta_{2} \approx 120.473^{\textdegree}

\theta_{3} \approx 210.473^{\textdegree}

\theta_{4}\approx 300.473^{\textdegree}

3 0
2 years ago
Jennifer can paddle a certain distance with the current in 2.5 hr. To cover the same distance against the current, she takes 5 h
snow_lady [41]
The answer would be 2 times faster
3 0
2 years ago
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