Since this is a right triangle and we have an angle and a side we can solve for any other side by using sohcahtoa. Now lets look at what we know we have the angle 35 degrees and the side adjacent to the angle is 10. we are looking for the side opposite to the angle. so we need a formula that uses opposite and adjacent that is toa, tan(angle)=oppisite/adjacent
now lets plug in tan(35)=x/10
x=10*tan(35)
x=7.002 now round to nearest tenth
x=7.0
Considering the perimeter of the rectangle, we have that the length is of 9 inches and the width is of 55 inches.
<h3>What is the perimeter of a rectangle?</h3>
The perimeter of a rectangle of length l and width w is given as follows:
P = 2(l + w).
The length is an odd integer and the width is <u>5 times the next consecutive odd integer,</u> hence:
l = x, w = 5(x + 2).
The perimeter is of 128 inches, hence:
128 = 2l + 2w
128 = 2x + 10(x + 2)
128 = 2x + 10x + 20
12x = 108
x = 9.
Hence the length is of 9 inches and the width is of 55 inches.
More can be learned about the perimeter of a rectangle at brainly.com/question/10489198
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Answer:
n ≥ 6.24/x
Step-by-step explanation:
Given that :
Amount spent is atleast $6.24
Let price spent = p
p ≥ $6.24
If cost of granola bar = x
The number of granola bars, n purchased will be :
n ≥ 6.24/x
Since cost of granola bar isn't given, we represent it as x.
Answer:
34
Step-by-step explanation:
x=3+√8
y =3-√8
now,
1/x^2+1/y^2
=1/(3+√8)² + 1/(3-√8)²
= [(3-√8)²+(3+√8)²] / (3+√8)²(3-√8)² [L.C.M = (3+√8)²(3-√8)² ]
=[(3-√8+3+√8)²-2(3-√8)(3+√8) ] / [(3+√8)(3-√8)]²
=[6²-2.(3²-√8² )] / (3²-√8²)² [ a²+ b²=(a+b)²-2ab]
=[36-2(9-8) ]/ (9-8)²
=[36-2.1] / 1²
=34
Information we know:
a 15 ounce cup takes 3 second to fill
determine variables:
x=3
y=15
rate:
y/x=3/15= 0.2
fixture an equation:
y=kx
y=0.2x
plug in 40 for x:
y=0.2(40)
=8
Thus, it should take 8 seconds to fill a 40-ounce cup of soda.
