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3 years ago

If t=38.5 and s=31.4 find S. Round to the nearest tenth

Mathematics

2 answers:

zubka84 [21]3 years ago

8 0

<u>Answer:</u>

The correct answer option is C. S = 54.6°.

<u>Step-by-step explanation:</u>

We are given a right angled triangle with two known sides, $s$ and $t$ .

We are to find the value of the angle $S$ .

For that, we will use sine.

$sin S = \frac { s } { t }$

$sin S = \frac { 3 1 . 4 } { 3 8 . 5 }$

$S = sin'0.815$

S = 54.6°

Dima020 [189]3 years ago

6 0

Answer: option c.

Step-by-step explanation:

You need to remember the identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

The inverse of the sine function is arcsine. You need to use this to calculate the angle "S":

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

You know that you need to find the measure of "S" and $t=38.5$ (which is the hypotenuse) and $s=31.4$ (which is the opposite side), then you can substitute values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$

Then, you get:

$S=arcsin(\frac{31.4}{38.5})\\\\S=54.6\°$

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Alika [10]

Answer:

The answer is 96%

Step-by-step solution:

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2 years ago

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...

natita [175]

Answer:

= - 1.5n - 6

Step-by-step explanation:

Given that the sequence is arithmetic with n th term ( explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5

= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6

Step-by-step explanation:

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2 years ago

Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation o

blagie [28]

Answer:

y = $\frac{3}{4}$ x - $\frac{7}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{3}{4}$ x - 3 ← is in slope- intercept form

with slope m = - $\frac{3}{4}$

Parallel lines have equal slopes , then

y = - $\frac{3}{4}$ x + c ← is the partial equation of line d

to find c substitute (- 2, - 2 ) into the partial equation

- 2 = $\frac{3}{2}$ + c ⇒ c = - 2 - $\frac{3}{2}$ = - $\frac{7}{2}$

y = - $\frac{3}{4}$ x - $\frac{7}{2}$ ← equation of line d

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2 years ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

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7 months ago

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yawa3891 [41]

(2,4)

Step-by-step explanation:

I'm not sure in the slightest but with the formula I learned I think this is correct

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2 years ago