Answer:
156.06 ft²
Step-by-step explanation:
The applicable formula for the area of the triangle is ...
Area = (1/2)bc·sin(A)
Filling in the given numbers, you have ...
Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²
The area of the triangle is about 156.06 square feet.
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Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.
Answer: area of the outer part of the rug= 16 -x²
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a square: Side²
Since the area of the rug including the inner square is:
Area of the rug = 4² =16 in²
And the area of the inner square is equal to:
Area if the inner square = x²
To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.
Area of the outer part of the rug= 16 -x²
Feel free to ask for more if needed or if you did not understand something.
Answer:
<A = 35 degrees
Step-by-step explanation:
<A = x
<B = 2x
<C = 2x + 5
X + 2x + 2x + 5 = 180 degrees
5x + 5 = 180
5x = 180 -5
x = 175/5
x = 35
Answer:
x,y ⇒x+10, y+10
Step-by-step explanation:
from looking at the graphs we can see there is only horizontal and vertical translations
take any point, for example the point C and it's transformed counterpart C'
and determine the change in x and y position
the point is translated 10 right and 10 up
so from x,y ⇒x+10, y+10
Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
