Answer:
$126000
Step-by-step explanation:
Gross salary per month = $10500
Gross salary per annum
= Gross salary per month × 12
= $10500 × 12
= $126000
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
Answer:
x=−5+√29 or x=−5−√29
Step
Let's solve your equation step-by-step.
x2+10x+10=14
Step 1: Subtract 14 from both sides.
x2+10x+10−14=14−14
x2+10x−4=0
For this equation: a=1, b=10, c=-4
1x2+10x+−4=0
Step 2: Use quadratic formula with a=1, b=10, c=-4.
x=
−b±√b2−4ac
2a
x=
−(10)±√(10)2−4(1)(−4)
2(1)
x=
−10±√116
2
x=−5+√29 or x=−5−√29
The measure of JKL is 75 degrees
For this item, all we have to identify is the area of the hanging light cover. Because it is said that it does not have a cover, we are only concerned about the lateral area which is equal to
Lateral area = 4(x)(l)/2 = 2xl
where x is the measure of the side of the square base and l is the length of the slant height.
After calculating the area in square foot, we multiply this to 2.45 pounds/ft², if the obtained value is ≤ 35 then, the chain can support the light cover.
