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kari74 [83]
3 years ago
13

L

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

464.5cm³

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Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
Precipitation for the month of March was 6 ½ inches less than average. In April, the precipitation was 2 ⅜ inches less than aver
deff fn [24]

Answer:

The precipitation for both March and April was 8 7/8 inches below average

Step-by step explanation;

For the month of march, precipitation was 6 1/2 inches less than average

For the month of April, precipitation was 2 3/8 inches left.

Now we want to calculate how many inches less than average was precipitation in both wants

What we simply do here is to add the inches with which they were both left than average in both months

That would be;

6 1/2 + 2 3/8

= 13/2 + 19/8 = (52 + 19)/8 = 71/8 = 8 7/8 inches

7 0
3 years ago
A set of 8 dessert dishes cost $20. what was the cost of each dish
emmainna [20.7K]
$20 / 8 dessert dishes = $2.50

The cost of each dish is $2.50.
5 0
3 years ago
Read 2 more answers
What is the area of the polygon (-3,3) (-3,-1) (4,-1) (4,3) with the given verticies
Monica [59]

The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units

<h3>What is rectangle ?</h3>

A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal

<h3>How to solve for area of the rectangle</h3>

The following are the data given in the question

polygon with the given vertices' as:

(-3,3)

(-3,-1)

(4,-1)

(4,3)

plotting the given polygon shows it is a rectangle with sides

Length, L =  7 units

Width, w = 4 units

Area if a rectangle is given by

= L * w

= 7 * 4

= 28 square units

The area of the polygon is 28 square units

Learn more in area of rectangle: brainly.com/question/16239445

#SPJ1

5 0
1 year ago
HELP PLEASSSEEEEEE I NEED THIS
Juli2301 [7.4K]
I'm pretty sure it's 11%
4 0
3 years ago
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