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velikii [3]
3 years ago
15

A circle is divided into 8 equal parts what is the total angle measure of 4 parts

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0
\frac{4}{8} =  \frac{1}{2}

 \frac{1}{2} [/tex] = half

Circle = 360°

Half a circle = \frac{360}{2} = 180~degrees
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Madelyn hopped 12 times in 15 seconds. What's her speed hops per minute
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48 hops/minute

Step-by-step explanation:

12 hops/15 seconds * 60 seconds/1 minute = 720 hops/15 minutes

simplify: 48 hops/minute

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Express your answer as a polynomial in standard form.
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Five divided sixty eight
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3 years ago
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point (15,0):

15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0

So, (15, 0) satisfies all the inequalities

For point (7.5,7.5):

7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in s\geq 15-t

7.5\geq 15-0=15 which is false

So, (s,t)\neq (7.5,0)

7 0
3 years ago
A certain substance doubles its volume every minute at 9 AM a small amount is placed in a container ,at 10 AM the container was
Y_Kistochka [10]

Answer:

the container is 1/4 full at 9:58 AM

Step-by-step explanation:

since the volume doubles every minute , the formula for calculating the volume V at any time t is

V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume

thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4  ...

therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain

V=V₀*2^-t

V₀/4 = V₀*2^-t

1/4 = 2^-t

appling logarithms

ln (1/4) = -t* ln 2

t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2

thus t=2 min before 10 AM → 9:58 AM

therefore the container is 1/4 full at 9:58 AM

8 0
3 years ago
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