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IgorLugansk [536]
3 years ago
13

Select the correct answer.

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x\sqrt{3}. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x\sqrt{3}.

x = 3

3 *  \sqrt{3} = 3 \sqrt{3}

y =  3\sqrt{3} (option D)

Hope this helps!! :)

Tpy6a [65]3 years ago
3 0

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

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A) give stating reasons five other angles each equal to x<br>b) prove that AECF is a parallelogram ​
Gennadij [26K]

Simple Proof:

a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and <em>x</em>. So now we can conclude that angel <em>x</em> is equal to angel 2.

b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is <u>NOT</u> a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )

7 0
3 years ago
What is the value of x?
True [87]
Red + green = 24; (1)
red + blue  = 10; (2)
blue + green = 20; (3) 

(1) - (2):
green - blue = 14;  (4)

(3) + (4):
2 * green = 34;
green = 17;

Simple substitution gives:
blue = 3;
red = 7;
5 0
3 years ago
Read 2 more answers
Luis, Diego, and Cecil are going fishing.
DIA [1.3K]

Answer:

7 worms

Step-by-step explanation:

Let each can have x worms, so we can say

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Diego has 3x + 2 worms

Cecil has 2x worms

Since, in total they have 65 worms, we can write and equation and solve:

4x + 3x + 2 + 2x = 65

9x + 2 = 65

9x = 63

x = 63/9

x = 7

There are 7 worms in each can.

3 0
4 years ago
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Rzqust [24]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
PLEASE ANSWER ASAP!!!!!!!!
charle [14.2K]

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

<h3>What is the speed of an object?</h3>

The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

C= 2πr

C= 2 × π × 30 feet

C= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

D= 7 × circumference of the wheel

D= 7 × 60π feet

D= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

S= (420π/14) feet/minute

S= 30π feet/minute

S= (30π × 12)/60 inches/second

S= 6π inches/second

S= 18.9 inches/second

Therefore the linear velocity of the object will be 18.9 inches/second

Learn more about the speed of an object here: brainly.com/question/16123156

#SPJ1

6 0
2 years ago
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