Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
h=-7.3t^2+8.25t+2.1+5
The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
t=[-8.25+/-sqrt[8.25^2+4*7.3*7.1]/(-2*7.3)
t= -0.572
or
t=1.702
since there is not negative time we take the time taken for the ball to hit the ground will be: t=1.702 sec
Like to get back to where it started? In that case 360
Answer:
Last option (bottom right)
Step-by-step explanation:
The scientific notation for 0.002 is 
(you move the decimal 3 to the right to get 2)
multiply the number of mustard seeds with this and you get 80. In scientific notation it is 
(move the decimal 1 to the left to get 8.0)
The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
<h3>Solving trigonometry identity</h3>
If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;
Cos120 = cos(90 + 30)
Using the cosine rule of addition
cos(90 + 30) = cos90cos30 - sin90sin30
cos(90 + 30) = 0(√3/2) - 1(0.5)
cos(90 + 30) = 0 - 0.5
cos(90 + 30) = 0.5
Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
Learn more on unit circle here: brainly.com/question/23989157
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