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Ratling [72]
2 years ago
5

HELP! On an 8 section spinner what is the propibility of spinning a number less then 6

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Numbers less than 6,

nth(5,4,3,2,1) = 5 \\ p(n < 6) =  \frac{5}{8}

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How do you use a number line to add integers?
iogann1982 [59]

1. Add a positive integer by moving to the right on the number line.

2. Add a negative integer by moving to the left on the number line.

3. Subtract an integer by adding its opposite.

8 0
3 years ago
The radius of circle O is 28, and OC =9. What is the length of AB?
aksik [14]
The answer:
the complement of the question proposed one of the choices given beneath:
a) 58.8
b) 53.0
c) 29.4
d) 26.5

as we observe at the figure, AOB an isosceles triangle, and OCB is a right triangle

consider OCB
OC =9, OB= radius = 28
the problem is how to find the length of CA, for that C is a midpoint of segment AB, so AC=BC

BC can be found by using pythagorean theorem
OB²= OC² + CB²,  this implies CB² = OB² - OC²

CB² = 28² - 9² = 784 - 81=703, therefore CB= sqrt (703)=26.51

CB=26.51, since CB= AC, so  AC=CB= 26.51

finally the <span>the length of AB is AB = 2 x CB = 2x AC= 2x 26.51= 53.0
</span>
the answer is b) 53.0

7 0
2 years ago
Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?
frozen [14]

For this case we can raise a rule of three based on Anthony trotting 11 \frac {1} {2} miles in 23 minutes.

11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}

\frac {23} {2} miles -----------> 23 minutes

x ----------------------------------------> 1minute

x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}

ANswer:

0.5 miles per minute

5 0
3 years ago
James Priya and Siobhan work in a grocery store James makes 9.00!per hour Priya makes 40% more than James and Siobhan makes 15%
ki77a [65]
<h2><em>James has $9 </em></h2><h2><em>Priya has $10.80 </em></h2><h2><em>Siobhan has $9.18 </em></h2><h2><em>because 9*20% is 1.8 so add that to 9 to get 10.80 then times 10.80 by 15% to get 1.62 so you subtract 1.62 from 10.80 to get $9.18  </em></h2>

<em />

5 0
2 years ago
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
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