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matrenka [14]
3 years ago
14

Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0
For a circle with radius 'r' ad center, (h,k)
the formula is

(x-h)²+(y-k)²=r²

(6,1)
r=5
(x-6)²+(y-1)²=5²
(x-6)²+(y-1)²=25
hmm
when x=6, then y=6
a point is (6,6)
also (6,-4)
also (1,1)
also (11,1)
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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le
julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is 6x-3 centimeters.

The width is  2x+6 centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u>\frac{4}{5} of the length.

2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\

Adding both sides by \frac{12}{5}

2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}

Subtracting both sides by 2x

2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\

By cross multiplication:-

5\times14x=5\times42\\ \\ 70x=210\\ \\

By diving both sides by 70

x=3

<u>Now, substituting the value:-</u>

The length = 6x-3 cm

                  = 6\times3-3=18-3=15\ cm

The width = 2x+6 cm

                 = 2\times3+6=6+6=12\ cm

Thus, length and width of canvas are 15 cm and 12 cm.

7 0
3 years ago
a model helicopter burns 1 2/5 ounces of fuel per minute. at that rate, how much fuel is needed for a 7 1/2 minute flight
bixtya [17]
The model helicopter would burn 10.5 ounces of fuel in 7 1/2 minutes. You would first multiply 1.4 (1 2/5 ounces of fuel) by 7 minutes to get 9.8 ounces of fuel. Then, divide 1.4 by 2 to account for the thirty seconds of the flight ( thirty seconds is half of a minute, or 1/2) to get 0.7, add 0.7 by 9.8, and get 10.5 ounces of fuel in the process.
4 0
3 years ago
Application of Trigonometric Ratios:
Irina-Kira [14]

9514 1404 393

Answer:

  15.46 m

Step-by-step explanation:

Side ratios of a 30°-60°-90° triangle are 1 : √3 : 2. That is, the height of the tree above eye-height is √3 times the distance from the trunk. The top of the crown will be at a height of ...

  1.6 m + (8 m)√3 ≈ 15.46 m

5 0
2 years ago
The sum of two numbers is 35. There times the larger number is the same as 4 times the smaller number. Find the larger number. W
marshall27 [118]
35 = x + 4 -4
31 = x
4 0
3 years ago
PLEASE HELP ASAP !!!
BartSMP [9]
You know that a straight line has an angle of 180 degrees; 

48+x+x=180 <-- since they are all on the same time
48+2x=180 
2x=180-48 
2x=132
x=132/2
x=66

Therefore, the x value is 66 degree. 

Hope I helped :) 
8 0
2 years ago
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