Hello,
I have a graphing calculator so this will be easy for me to answer and explain how to figure these out. Here we go!
1. Well on a Ti - 84 plus calculator it says graph then you put in thee equations for each and C and D are already incorrect cause they go straight up and B is incorrect because it is a straight line on the top going straight. In this case your looking for a line that goes through the dots. And the answer would be A) Y = 1/2x + 7.
2. B) Then umber of accidents were reduced by 0.67 per month for every additional driver in the program.
3. Key: Y means yes N means no. Plot A had 1 disease present and 2 not present. Plot B has 3 diseases present and 1 disease not present.
4. Category A had 36 groups in group 1. and Category B had 12 groups in group 1. Easy!
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Answer:
5 inches
Step-by-step explanation:
A cone's volume can be found using the formula
. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.
Let's rewrite the expression as

So, if
, you may divide both sides by
, the equation becomes
, and the only solution is
, which means that this is not an identity (an indentity is tautologically true, no matter the value of x).
If instead
, you are multiplying both sides by zero, so the equation becomes

So, it doesn't matter which value for x you choose, because you will always end up with
, which is obviously always true.
<u>Answer:</u>
BC = 18 cm
<u>Step-by-step explanation:</u>
As we can see from the diagram:
AB + BC + CD = AD
⇒ 10 cm + BC + 11 cm = 39 cm
⇒ BC + 21 cm = 39 cm
⇒ BC = 39 cm - 21 cm
⇒ BC = 18 cm
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad