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aalyn [17]
3 years ago
9

TRUE or FALSE: In the quarter circle, the radius is 4 cm and the diameter is 8 cm.

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer: False.

Step-by-step explanation:

There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1

The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.

So the statement is false

You might be interested in
which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9
elena55 [62]

Step-by-step explanation:

\frac{(x - 2) {}^{2} }{4}  +  \frac{(y + 5) {}^{2} }{9}  = 1

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

{c}^{2}  =  {a}^{2}  -  {b}^{2}

Here a^2 is 9, b^2 is 4.

{c}^{2}  = 9 - 4

{c}^{2}  = 5

c =  \sqrt{5}

So our foci is

(2, - 5 +  \sqrt{5} )

and

(2, - 5 -  \sqrt{5} )

6 0
2 years ago
Find the slope of the line passing through the points(-3, 7) and (2, -6).
postnew [5]

Answer:

-13/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-6-7/2-(-3)

-13/5

Best of Luck!

4 0
3 years ago
Last year at a certain high school, there were 125 boys on the honor roll and 80 girls on the honor roll. This year, the number
Elodia [21]

Answer:

6.8% decrease

Step-by-step explanation:

a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115

a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76

total number of students on honor roll last year = 125 + 80 = 205

total number of students on honor roll this year = 115 + 76 = 191

percent of change = (191 - 205) ÷ 205 = -14/205 = -.068

-.068, which represents a 6.8% decrease

3 0
2 years ago
8. Jia's Fashions recently paid a $2 annual dividend. The company is projecting that its dividends will grow by 20 percent next
ArbitrLikvidat [17]

Answer:

the stock will sell for $59.16

Step-by-step explanation:

P0 =  2 * (1+0.2) / (1+0.105)  +  2 * (1+0.2) * (1+0.12)  /  (1+0.105)^2  +  

2*(1+0.2)*(1+0.12)^2 / (1+0.105)^3 +

[(2 * (1+0.2) * (1+0.12)^2 * (1+0.06) / (0.105-0.06))  /  (1+0.105)^3 ]

P0 = $59.16

7 0
2 years ago
I need help with problem number 3 if someone can help me with that
Flura [38]
Plug in x into the equation. Take x= -2 for example. Your equation is 2x-5, so instead of x, you put -2.
2(-2)-5 = -9
Your table is as follows:
(-2,-9)
(-1,-7)
(0,-5)
(1,-3)
3 0
3 years ago
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