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GenaCL600 [577]
3 years ago
5

Please help me with this answer

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

sin^2x=1/2

so sinx=1/V2=V2/2

x=pi/4

finlep [7]3 years ago
7 0

Answer:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Step-by-step explanation:

2\sin^2(\theta)=1

Divide both sides by 2:

\sin^2(\theta)=\dfrac{1}{2}

Take the square root of both sides:

\sin(\theta)=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}

The only two places on the unit circle where the y value of the point is \dfrac{\sqrt{2}}{2} are at:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Hope this helps!

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Step-by-step explanation:

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Annie's great-grandparents lived in a log cabin with their 3 children. The log cabin had a floor area of 450 square feet. The ce
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What is the value of f? 5f+4g=210 f+8g=150
Svetradugi [14.3K]
F = 30
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6 0
3 years ago
If You can pls answer all 4 with the equations
Trava [24]

9514 1404 393

Answer:

  1. 69
  2. 100
  3. -24
  4. 1/729

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. Your calculator can help.

1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69

__

2. add 16 to find x.

  x -16 = 29

  x = 45

Then do the substitution:

  2(45 +5) = 2(50) = 100

__

3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24

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4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729

8 0
3 years ago
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

To find length of AB

A = (x_1,y_1)=(-1,1)

B= (x_2,y_2)=(3,2)

Now substitute the values in the formula:

d =\sqrt{(3-(-1))^2+(2-1)^2}

d =\sqrt{(4)^2+(1)^2}

d =\sqrt{16+1}

d =\sqrt{17}

d =4.12

Now to find length of BC

B= (x_1,y_1)=(3,2)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-3)^2+(-1-2)^2}

d =\sqrt{(-4)^2+(-3)^2}

d =\sqrt{16+9}

d =\sqrt{25}

d =5

Now to find length of AC

A = (x_1,y_1)=(-1,1)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-(-1))^2+(-1-1)^2}

d =\sqrt{(0)^2+(-2)^2}

d =\sqrt{4}

d =2

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s = \frac{a+b+c}{2}

a,b,c are the side lengths of triangle  

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

s = \frac{4.12+5+2}{2}

s =5.56

Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}

Area = 3.99

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle =\frac{1}{2} \times Base \times Height

Since Area = 3.99 square units

So,3.99 =\frac{1}{2} \times BC \times Height

So,3.99 =\frac{1}{2} \times 5\times Height

3.99 =2.5 \times Height

\frac{3.99}{2.5}=Height

1.596=Height

Thus the altitude corresponding to the BC is of length 1.596 unit  ≈ 1.6 units

Thus Option D is correct.

7 0
3 years ago
Read 2 more answers
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