All categories

3 years ago

6. To check whether the rose bush lies on the circle, see if its coordinates make the

Mathematics

1 answer:

Alexxandr [17]3 years ago

3 0

Part of question :

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

Answer:

Yes, equation of circle is true

Step-by-step explanation:

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

100=100

plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true

You might be interested in

Is 6:9 reater than less than or equal to 9:12

insens350 [35]

Answer:

less than

Step-by-step explanation:

6/9 is less than 9/12

6/9=.6666666666666666666666666

9/12=.75

.666666<.75

5 0

3 years ago

Simplify the expression: -3(4a-5b)

jok3333 [9.3K]

−3(4a−5b)=(−3)(4a+−5b)=(−3)(4a)+(−3)(−5b)=−12a+15b

6 0

3 years ago

Suppose that 200 students are randomly selected from a local college campus to investigate the use of cell phones in classrooms.

serious [3.7K]

Answer:

It would change to 0.04802

Step-by-step explanation:

from this question we have that n became 400

40% of 400

= 160

p* = 160/400

= 0.4

1 - p* =

= 1 - 0.4

= 0.6

at confidence level,

1 - 0.95

= 0.05

alpha/2 = 0.025

z= 1.96

margin of error. E

= 1.96 x √[(0.4 x 0.6)/400]

= 1.96 x 0.0245

= 0.04802

M.E = 0.04802

6 0

3 years ago

Abby is not a morning person and needs to plan on what time to wake up for a morning class. She

MArishka [77]

Answer:

OF COURSE SHE ISNT A MORNING PERSON. Anyway....

8:45-25 minutes is 8:20. -30 minutes from that, and you get 7:50. PRESUMING she wants to get to class the SECOND the bell rings, she should leave at 7:50!

:))

7 0

1 year ago

Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want

Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

L is its length

W is its width

H is its height

The volume of the cone is V = $\frac{1}{3}$ π r² h, where

r is the radius of its base

h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = $\frac{1}{2}$ diameter = $\frac{1}{2}$ (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = $\frac{1}{3}$ (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0

3 years ago