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Artemon [7]
3 years ago
6

Tell whether the two ratios are proportional 3/4 =9/12

Mathematics
1 answer:
kkurt [141]3 years ago
4 0
Yes, the two ratios are proportional
In 3/4, if you multiply the numerator and denominator by 3, you would get 9/12, thus, 3/4=9/12
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Which point lies on a circle with a radius of 5 units and center at P(6,1)?
ryzh [129]

Answer:

Option B. R(2,4)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

(x-6)^{2}+(y-1)^{2}=5^{2}

(x-6)^{2}+(y-1)^{2}=25

step 2

Verify each case

case A) Q(1, 11)

substitute the value of x=1, y=11 in the equation of the circle and then compare the results

(1-6)^{2}+(11-1)^{2}=25

25+100=25 ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) R(2,4)

substitute the value of x=2, y=4 in the equation of the circle and then compare the results

(2-6)^{2}+(4-1)^{2}=25

16+9=25 ------> is true

therefore

the ordered pair R lie on the circle

case C) S(4,-4)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(4-6)^{2}+(-4-1)^{2}=25

4+25=25 ------> is not true

therefore

the ordered pair S not lie on the circle

case D) T(9,-2)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(9-6)^{2}+(-2-1)^{2}=25

9+9=25 ------> is not true

therefore

the ordered pair T not lie on the circle

7 0
4 years ago
Alyssa can run 0.75 mile in 35 seconds. About how long will it take her to run 7 miles?
Liono4ka [1.6K]

Answer:

327 Seconds

Step-by-step explanation:

7/.75=28/3

28/3 X 35 = 327 Seconds

8 0
4 years ago
Read 2 more answers
A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0
3 years ago
Read 2 more answers
In discus competition an athlete threw the discus 63.37meters 62.95 meters and 63.7meters order the distance from least to great
Eduardwww [97]
62.95meters, 63.37meters, 63.7meters.
6 0
3 years ago
Read 2 more answers
Help me please please
tatyana61 [14]

Answer:

6.91 times 6.91 equals 47.7481

47.7481 times π equals 150.005080183

to the second digit this is

150.01

5 0
3 years ago
Read 2 more answers
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