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Rashid [163]
4 years ago
8

A circle is centered at (0,0) and passes through (-3,0) and (3,0) in the standard (x,y) coordinate plane. A square is inscribed

in the circle. What is the perimeter of the square?
A. 9
B. 12
C. 6√2
D.12√2
E. 18
Mathematics
1 answer:
myrzilka [38]4 years ago
3 0

Answer:

D)

Step-by-step explanation:

First we want to find the diameter of the circle, since we are only given coordinates we have to find the distance between these points this gives us the diameter.

| -3 + 3 | = 6 (|| = positive value)

The diameter is 6 now we can draw a inscribed square with each corner touching the circumference of the circle at 0,90,180,and 360 degrees.

To find the length of one side we have to use the radius of the circle with Pythagorean theorem.

3^2 + 3^2 = c^2 ; 18=c^2

sqrt = square root

Then square root both sides; sqrt(18) = sqrt(c^2)


sqrt(9) * sqrt(2) = sqrt(c^2) ; 3*sqrt(2) = c

This is one length to find the others we just multiply by four since the sides length of a square are all the same as each other. 4*(3*sqrt(2)) = Perimeter

12*sqrt(2)


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Monica [59]

Answer:

37.68 i think

Step-by-step explanation:

4 0
3 years ago
Sadie the dog is sitting on the roof of his doghouse, 4.5 ft off the ground. He is watching a cat that is 16 ft away from the ba
nignag [31]
In word problems on topics of trigonometry, the terms of angle of depression and angle of elevation are very common. The angle of depression is used when the observer is above the point of reference. The angle made from the observer to the object is the angle of depression. To understand more clearly, refer to the attached picture.

Suppose the dog is on the top vertex of the triangle while the cat is the rightmost corner of the triangle. The angle denoted as x° is the angle of depression. To determine this, we use the tangent function. The tangent of an angle is the ratio of its opposite side to its adjacent side. 

tanx° = 16/4.5
x = 74.29°

8 0
3 years ago
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.2
Agata [3.3K]

Answer:

E = 12.20(h) - 7.15

h = 6.82 hours

Given:

Pay hour = $12.20 per hour

Bus fare = $7.15

1.Equation:

Assume

She has work for "h" hours

Total earning = E

So,

E = 12.20(h) - 7.15

If,

Total earning = E = $90.45

So,

E = 12.20(h) - 7.15

90.45 = 12.20(h) - 7.15

h = 6.82 hours

7 0
4 years ago
Suppose that
denis23 [38]

Answer:

A, B, D, H are the correct statements

Step-by-step explanation:

A) If R1 were symmetric, since we have the relation (2,4), we should have for symmetry the relation (4,2), which is not the case. Therefore R1 is not symmetric and A is True.

B) There are only 2 relations in R3, (2,4) and (4,2). One relation is the symmetric relation of the other, therefore R3 is symmetric and B is True.

C) If R3 were transitive it should satysfy the <em>transitive rule</em>. Since 2 is related with 4 and 4 is related with 2, then for transitivity 2 should be related with itself, which is not true. As a consecuence, R3 is not transitive and C is False.

D) The elements that appear in R2 are 1, 2, 3 and 4. R2 is reflexive because we have all the relations (1,1), (2,2), (3,3) and (4,4) that relate an element with itself. We conclude that D is True.

E) R4 is not symmetric because we have the relation (1,2) but we dont have the symmetric relation (2,1) in R4. Therefore E is False.

F) The element 4 appears in R1 but we dont have the relation (4,4) in R1. This means that R1 in not reflexive, so F is False.

G) Similar to what happened with R2, the elements 1,2,3 and 4 appear in R5 and all the relations (1,1), (2,2), (3,3) and (4,4) are present in R5. As a consecuence, every element is related to itself, which means that R5 IS reflexive, and because of that, G is False.

H) All the realtions in R5 are of the form '(a,a)' for a in {1,2,3,4}. Suppose we have a chain of relations (a,b), and (b,c) in R5, and we want to know if (a,c) is in R5. Necessarily, a = b, and b = c. Then, a and c are equal, which means that the relation (a,c) is the relation (a,a), which is in R5 for any a in {1,2,3,4}. This proves the transitivity of R5 and therefore, H is True.

I) R3 is not reflexive because 2 is an element of the set and the relation (2,2) is not in R3. I is False

8 0
3 years ago
Find an equation of the line through (3,8) and parallel to y = 4x - 3.
aksik [14]

Answer: y=4x-4

Step-by-step explanation:

To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.

y=4x+b

We can use the given point to find the y-intercept.

8=4(3)+b             [multiply]

8=12+b                [subtract both sides by 12]

b=-4

Now that we have found the y-intercept, we can complete the equation.

y=4x-4

4 0
3 years ago
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