Answer:
radius=6
Step-by-step explanation:
arc ACB=6xPi
Pi=3.14159
arc ACB=18.85 (rounded to 2 places)
ACB is a half circle so a full circle would be 18.85x2 or 37.7
circumference (whole circle)=2 x Pi x radius
37.7=2 x 3.14159 x radius
radius= 37.7/(2 x 3.14159)
radius=6
Answer:
Option B
Step-by-step explanation:
Function 'g' is,
g(x) = x²
Since, leading coefficient of this function is positive, parabola is opening upwards.
From the graph attached,
Function 'f' is opening upwards leading coefficient of the function will be positive.
Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²
Here, k > 1
Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,
f(x) = g(x) + 1
Combining all these properties, equation of the function 'f' should be,
f(x) = 4x² + 1
Option B will be the correct option.
If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
<h3>What is speed?</h3>
Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:
Speed=Distance/ Time.
<h3>How to calculate speed?</h3>
We have been given that the speed of stream is 7miles per hour.
Let v be the speed of the boat, and t the time to travel
98=t*(7+v) (1)
49=t(v-7) (2)
(1)+(2) => 2tv=147
7t+(49+7t)=98
14t+49=98
14t=49
t=49/14
t=7/2
Put the value of t in equation 1 to get the value of v:
98=t(7+v)
98=7/2(7+v)
196/7=7+v
28=7+v
v=28-7
v=21
Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
Learn more about speed at brainly.com/question/4931057
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Subtract 5r from both sides
2p= q-5r
Divide both sides by 2
p= (q-5r)/2
the gcf would be 9 because you can divide both by 9
