All categories

1 year ago

Given regular pentagon ABCDE, what are the coordinates of vertex C?

Mathematics

1 answer:

nata0808 [166]1 year ago

6 0

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

You might be interested in

How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrel

MArishka [77]

Answer: 3 million barrels

Step-by-step explanation:

Given :- Total crude oil= 60 million barrels

Quantity of gasoline = 34% of total crude oil

$=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}$

Quantity of diesel = 29% of total crude oil

$=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}$

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

$20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}$

Therefore, The production of gasoline is 3 million barrels more than diesel last year.

3 0

1 year ago

Read 2 more answers

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is

astra-53 [7]

3.5/5=14/x 20ft tall

3 0

1 year ago

The point (1, 4) lies on a circle that is centered at (1, 1). Which statements are correct? Check all that apply.

Semenov [28]

the circle's radius is 3 units

the point (- 2, 1 ) lies on the circle

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

the radius is the distance from the centre to the point (1, 4 ) on the circle

using (1, 4) and (1,1) in the distance formula, then

r = √(1 - 1 )² + (1 - 4)² = √(0 + 9) =√9 = 3 ⇒ r² = 9

(x - 1 )² + (y - 1 )² = 9 ← equation of circle

substitute the given points into the equation and if equation is true then they lie on the circle

(- 2, 1 ) : (- 2 - 1 )² + (1 - 1 )² = 9 + 0 = 9 ← true

Hence (- 2, 1 ) lies on the circle

(3, 3 ) : (3 - 1 )² + (3 - 1 )² = 4 + 4 = 8 ≠ 9

(3, 3 ) does not lie on the circle

6 0

1 year ago

Read 2 more answers

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.

morpeh [17]

250 ÷ 164 = 0.656
D. 0.656

4 0

2 years ago

Is the statement "Two matrices are row equivalent if they have the same number of rows" true or false? Explain. A. True, because

vlabodo [156]

Answer: The answer is (C).

Step-by-step explanation: The given statement is - "Two matrices are row equivalent if they have the same number of rows". We are to explain whether the statement is true or false.

What are row equivalent matrices? The answer to this question is -

Two matrices are said to be row equivalent if one of the matrices can be obtained from the other by applying a number of elementary row operations. Or, we can say two matrices of same order are row equivalent if they have same row space.

Thus, the correct option is (C).

7 0

2 years ago