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QveST [7]
3 years ago
14

Can someone please help me

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

r = 5

Step-by-step explanation:

To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.

Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.

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Angle ABC is similar to angle LMN. Also, angle B measures 35º and angle C measures 95°
Reptile [31]

Answer:

angle L is 50 degrees! hope this helps

Step-by-step explanation:

idek lol i guessed and got it right

4 0
3 years ago
If sin theta = cos theta then find the value of theta
Ksenya-84 [330]

Step-by-step explanation:

\because \sin  \theta =  \cos  \theta  \\   \\ \therefore \: \sin  \theta =  \sin(90 \degree -   \theta)  \\   \\ \therefore \:  \theta =  90 \degree -   \theta \\   \\ \therefore \:   \theta + \theta=  90 \degree \\  \\ \therefore \:  2\theta =  90 \degree \\  \\\therefore \:  \theta =   \frac{90 \degree }{2} \\  \\ \huge \orange{\boxed{\therefore \:   \theta =   45 \degree}}\\  \\

4 0
4 years ago
Seven more than the product of a number and 5 equals 2 . Use the variable c for the unknown number.
svetoff [14.1K]

Answer:

Equation: 5c + 7 = 2

Solution: The number is -1.

Step-by-step explanation:

The unknown number is c.

"the product of a number and 5" is 5c

"Seven more than the product of a number and 5" is 5c + 7

"Seven more than the product of a number and 5 equals 2" is 5c + 7 = 2

The equation is

5c + 7 = 2

To solve, we first subtract 5 from both sides.

5c + 7 - 7 = 2 - 7

5c = -5

Now divide both sides by 5.

5c/5 = -5/5

c = -1

Answer: The number is -1.

7 0
4 years ago
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than on order
babymother [125]
Ordered pairs are used to locate points on the graph. The first number in an ordered pair corresponds to the horizontal axis, and the second corresponds to the vertical axis.<span>
</span>
6 0
3 years ago
What is the area of the triangle whose vertices are D( 3, 3), E(3, -1), and F(-2, -5)?
ycow [4]

<u>Answer-</u>

<em>Area of the triangle is </em><em>10 sq.units</em>

<u>Solution-</u>

We know that,

\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]

Taking,

(x₁, y₁) = (3, 3)

(x₂, y₂) = (3, -1)

(x₃, y₃) = (-2, -5)

Then putting these in the formula,

\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]

=\dfrac{1}{2}[3(4)+3(-8)-2(4)]

=\dfrac{1}{2}[12-24-8]

=\dfrac{1}{2}[-20]

=-10

As area can not be negative, ignoring negative sign,

\text{Area of the triangle}=10

6 0
3 years ago
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