Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33
Answer:
The answer would be 72 feet. (A)
Step-by-step explanation:
To find the volume of the prism you would do length times width time height. That would be 4 times 3 times 6. 4 times 3 is 12 and 12 times 6 is 72, getting you your answer. I hope this helps! :)
Answer:
Step-by-step explanation:
The best way to answer a question like this one is to use a graphing program on the internet. This graph was done with desmos
It looks to me that the equation is g(x) = 10(x - 5)^2 - 37
I checked to see that this is correct, and thank goodness it is.
- The vertex of the graph is (5, -37).
- The vertex has a minimum
- The parabola opens upward
The graph is shown below.
Answer:
Measure of minor angle JOG is
Step-by-step explanation:
Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.
.
Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle .
To calculate the central angle, use the arc length formula as follows.
Where is measured in radian.
Substituting the value,
Dividing both side by 120,
Reducing the fraction into lowest form by dividing numerator and denominator by 40.
Therefore value of central angle is , since angle is in radian
Now convert radian into degree by using following formula,
So multiplying with to convert it into degree.
Simplifying,
So to nearest tenth,
Multiply the 1st equation by 2 and the 2nd by 5 to get:
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)