Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to
where
L is the length of rectangle
W is the width of rectangle
we have
Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so
the formula to calculate the distance between two points is equal to
step 1
Find the distance FG
substitute the values
step 2
Find the distance RF
substitute the values
step 3
Find the perimeter
we have
substitute
Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to
we have
substitute
Answer:
45
Step-by-step explanation:
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
Answer:
10%
Step-by-step explanation:
we want to find what % of 34 is 37.40
so, we will use the following equation:
for this scenario:
part = 37.40
whole = 34
percent = x
now plug in:
cross multiply
34x = (37.40)(100)
34x = 3740 divide both sides by 34
x = 110%
now we know that with tax, we paid 110% of the video game's price
110 - 100 = 10%
so the percent sales tax is 10%
<u>just to check... </u>
34 • 1.10 = $37.40
or
34 • .10 = 3.40
34 + 3.40 = 37.40
Answer:
16 m × 11 m
Step-by-step explanation:
The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.
The original length of gym = 20 m and original width of gym = 15 m
2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:
Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m
Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m
Therefore the dimensions of the basketball court is:
16 m × 11 m
