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Novosadov [1.4K]
3 years ago
12

Use the value of the trigonometric function to evaluate the indicated function.

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

\displaystyle \sin t = - \frac{5}{6}

Step-by-step explanation:

Recall that since sine is an odd function:

\displaystyle \sin (-\theta) = -\sin \theta

Hence:

\displaystyle \sin(-t) = -\sin t = \frac{5}{6}

Therefore:

\displaystyle \sin t = - \frac{5}{6}

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Solve the system using the substitution method<br> 6x - 2y = -4<br> y= 3x + 2
Anit [1.1K]

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

3 0
4 years ago
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Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to
Arada [10]

Answer:

<h2>The dimensions of the third blanket are 7.5 feet by 6 feet.</h2><h2>All the blankets are similar.</h2>

Step-by-step explanation:

The size of the first blanket is 2.5 feet by 2 feet.

Shannon  wants to enlarge the first blanket by scale factor 2 to make the second blanket.

Hence, the size of the second blanket will be (2.5\times2) = 5 feet by 2\times2 = 4 feet.

Again she enlarged the second blanket by a scale factor 1.5 to make the third blanket.

Hence, the size of the second blanket will be 5\times1.5 = 7.5 feet by 4\times1.5 = 6 feet.

Enlargement only changes the size of the blanket, it does not change the shape of the blanket. Hence, all the blankets will be similar.

6 0
3 years ago
Find the gradient of the line segment between the points (0,6) and (2,16).
Novay_Z [31]

Answer:

gradient = -\frac{1}{2}

Step-by-step explanation:

Calculate the gradient m using the slope formula

Solution:

Let (x_{1} , y_{1} ) = (6, 0) and (x_{2} , y_{2} ) = (0, 3).

m = \frac{(y_{2} - y_{1})}{ (x_{2}- x_{1})}   = \frac{(3 - 0)} {(0 - 6)} = \frac {3} / {-6} = -\frac{1}{2}

So, the gradient of the line is - 1/2.

Hope this helps!

4 0
3 years ago
Complete the table for the equation y = x+3, and graph the equation.<br> X -2<br> y
AnnyKZ [126]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Brainliest and 50 points
Annette [7]

Answer:

Using the distance formula, when I plugged in the information, the answer I got was the square root of 85. (B)

explanation:

C(x₁ , y₁) and T(x₂ , y₂) OR C(0,4) and T(-6,-3)

CT=√[(x₂ - x₁)² + (y₂ - y₁)²] =√[(-6-0)² + (-3 - 4)²]

CT=√[(36) + (49)} = CT = √85

4 0
3 years ago
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