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Svetach [21]
3 years ago
7

What is the answer to number 10?

Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

979.68

Rounded up, is 980

Step-by-step explanation:

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Find the angle which is vertical
kondor19780726 [428]

Answer:

<2

Step-by-step explanation:

A vertical angles are "pairs of opposite angles made by two intersecting lines." We can see that the same two lines that form <5 form an angle opposite to it, <2.

5 0
2 years ago
Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0
3 years ago
Find the value of csc theta, if cos =-3/5; 90 degrees &lt; theta &lt; 180 degrees
Sloan [31]

Answer:\frac{5}{4}

Step-by-step explanation:

Given

\cos \theta =\frac{-3}{5}

and \theta  lies between

90^{\circ}

and for this \theta,\sin and \text{cosec} is Positive as they lie in 2 nd Quadrant

\sin ^2\theta +\cos ^2\theta =1

\sin ^2\theta =1-(\frac{-3}{5})^2

\sin ^2\theta =1-\frac{9}{25}

\sin ^2\theta =\frac{16}{25}

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

\therefore \text{cosec}\ \theta =\frac{5}{4}

6 0
3 years ago
Becky is planning a 2 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon
GaryK [48]

Answer:

70

Step-by-step explanation:

3 0
2 years ago
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