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OLga [1]
4 years ago
8

What is the exact value of sin(45)

Mathematics
1 answer:
Salsk061 [2.6K]4 years ago
6 0
The answer is sqrt(2)

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Find the length of NC, measure of angle C and the measure of angle T
vazorg [7]

Answer:

NC = 7.7

C = 63.6°

T = 26.4°

Step-by-step explanation:

✔️Apply pythagorean theorem to find the length of NC:

NC = √(17.2² - 15.4²) = √58.68

NC ≈ 7.7

✔️Apply trigonometric function to find Angle T:

Reference angle = T

Hypotenuse = 17.2

Adjacent length = 15.4

Apply CAH, thus:

Cos(T) = \frac{Adj}{Hyp}

Cos(T) = \frac{15.4}{17.2}

T = cos^{-1}(\frac{15.4}{17.2})

T ≈ 26.4°

✔️C = 180 - (90 + 26.4) (sum of triangle)

C = 63.6°

7 0
3 years ago
What was the net yardage the team had after those 4 plays ?
Sergeu [11.5K]
<h3>Answer: Choice A)  -32</h3>

A loss of 8 yards is represented as -8

Multiply this by 4 to get -8*4 = -32

5 0
3 years ago
Read 2 more answers
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 7 units and base
enot [183]

<u><em>Answer:</em></u>

35 square units

<u><em>Explanation:</em></u>

<u>Area of parallelogram is calculated as follows:</u>

Area = base * height square units

<u>In the given question, we have:</u>

base = 5 units

height = 7 units

<u>Substitute with the givens in the above equation to get the area:</u>

Area of parallelogram = 5 * 7 = 35 square units

Hope this helps :)

3 0
4 years ago
Read 2 more answers
Write the equation of a sine function that has the following characteristics.
slava [35]

Answer:

\displaystyle y = 7\sin(9\pi(x +   {1}/{4}) )

Step-by-step explanation:

we are given

  • Amplitude:7
  • Period:9π
  • Phrase shift:¼

remember that,

\displaystyle y = A \sin(B(x + C) )+ D

where A is the Amplitude

B is the Period

C is the Phase shift

D is the vertical shift

note that, since D isn't given we'll take it 0

altogether substitute:

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )+ 0

hence,

our equation is

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )

and we are done!

5 0
3 years ago
Read 2 more answers
Find the side of an equilateral triangle if its area is 25√3 cm2
Sever21 [200]

Answer:

10

Step-by-step explanation:

area=√3/4×a^2

100√3 = √3×a^2

a^2 = 100

a=10

side = 10

4 0
3 years ago
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