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2 years ago

30 Points Easy!!!! The zoom feature on a camera lens allows you to dilate what appears on the display. When you (1 pc

Mathematics

1 answer:

Reika [66]2 years ago

5 0

Answer:

8 millimeters

Step-by-step explanation:

Sense 24/3 is 8, then it is 8 millimeters. So, 300/3 is 100, that is why we use the number 3 to divide

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How can i solve by completing the square 4r^2-28r=-49

Natalija [7]

To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

$4r^2 - 28r = -49$

$\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}$

$r^2 - 7r = -\dfrac{49}{4}$

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

$r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}$

$(r - \dfrac{7}{2})^2 = 0$

$r - \dfrac{7}{2} = 0$

$r = \dfrac{7}{2}$

3 0

3 years ago

The combined age of three sisters is 74. The eldest sisters age is twelve less than the sum of both sisters age. The middle sist

Anni [7]

Answer:

Step-by-step explanation:

let their ages be x,y,z and x>y>z

x+y+z=74 ...(1)

x=(y+z)-12

or x-y-z=-12 ...(2)

y=z+5 ...(3)

add (1) and (2)

2x=62

x=62/2=31

from (1)

31+y+z=74

y+z=74-31=43

substitute from (3)

z+5+z=43

2z=43-5=38

z=38/2=19

y=19+5=24

so their ages are 31,24 and 19

4 0

2 years ago

Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%.

Svet_ta [14]

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts answer 1.2 = a growth rate of 20%.

8 0

2 years ago

Are the following lines parallel, perpendicular, or neither? y = 8 −3x and x −3y = 0

Thepotemich [5.8K]

Answer:

perpendicular

Step-by-step explanation:

8 0

2 years ago

What is the measure of angel A?

Rudiy27

Answer:

12.68°

Step-by-step explanation:

We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.

arcsin(18/82)

18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).

arcsin(0.21951)

What you see above this statement equals 0.22131 radians.

0.22131 rad

To convert this to degrees, multiply by 57.2957795.

0.22131 * 57.2957795

0.22131 times 57.2957795 is 12.680128961145.

12.680128961145°

The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).

12.68°

Angle A is 12.68°.

6 0

2 years ago