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stepan [7]
2 years ago
6

Evaluate sin^2 θ for θ = 45°

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

\frac{1}{2}

Step-by-step explanation:

sin45° = \frac{1}{\sqrt{2} } ← exact value , then

sin²45° = \frac{1}{\sqrt{2} } × \frac{1}{\sqrt{2} } = \frac{1}{2}

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Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain yo
FromTheMoon [43]

Answer:

c=19.21

<C=90

<B=38.66°

<A=51.34

Step-by-step explanation:

12²+15²=c²

144+225=c²

c=19.21

<C=90

For angle B, the sinB=Opposite over Hypotenuse

sinB=12/19.21

sinB=0.62467

B=sin^-1(0.62467)

<B=38.66°

To find A, 180-90-38.66

<A=51.34

7 0
3 years ago
If f(x) =1/4x+3, what is the equation for f^-1 (x)?
ser-zykov [4K]
4x - 12

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3 years ago
A triangle has an area of 75 square centimeters. if the base and height have equal length, what is the link? Round to the neares
Leni [432]
1/2*bh=75
1/2*bb=75
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4 0
3 years ago
Y – 2 = 3(x - 1) <br><br>thank you​
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7 0
2 years ago
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Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha
Oliga [24]

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}

k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}

Length of other two sides,

10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

4 0
3 years ago
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