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Alex787 [66]
3 years ago
5

Can help me with this please

Mathematics
2 answers:
madam [21]3 years ago
8 0
4:32 is the same as 2:16 and 12:96. A ratio is the same as a fraction, so you can reduce them the same way. 4/2 = 2, 32/2 = 16. 2*6 = 12, 16*6 = 96.

Can you do the second one on your own now?
Yakvenalex [24]3 years ago
6 0
  • Answer:

<em>B) 12 : 96 ; 2 : 16</em>

  • Step-by-step explanation:

<em>4 : 32 = 4⁽²/32 = 2/16 = 2 : 16</em>

<em>⁶⁾2/16 = 12/96 = 12 : 96</em>

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GaryK [48]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

Step-by-step explanation:

In x + 2 = 7, x is a variable, but we can work out its value if we try:)

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Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser
katrin [286]

Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY (m_{1}) = \frac{y-y'}{x-x'}

                            = \frac{-3+4}{2-0}

                     (m_{1}) = \frac{1}{2}

Similarly, slope of XZ (m_{2}) = \frac{-6+4}{2-0}          

                                   (m_{2}) = (-1)

m_{1}\times m_{2}=-\frac{1}{2}

Which should be (-1) if XY and XZ are perpendicular to each other.

Now we can say that XY and XZ are not perpendicular.

Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.

Option (4) will be the answer.

5 0
3 years ago
A boat is 400 feet away from one dock and 500 feet away from the another dock. the angle between the paths is 45°. what is the a
FinnZ [79.3K]

Answer:

  • The approximate distance between the docks is 357 feet

Step-by-step explanation:

Let the distance between docks be d.

This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.

Use the law of cosines to find the value of d:

  • d = \sqrt{400^2+500^2-2*400*500*cos45} =357 (rounded)
8 0
2 years ago
a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As t
Burka [1]

Answer:

The rate at which Perimeter of the square is increasing is \frac{24}{\pi} \ in/secs.

Step-by-step explanation:

Given:

Circumference of the circle = 2\pi r

Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that;

\frac{d(2\pi r)}{dt} =6\\\\2\pi\frac{dr}{dt}=6\\\\\frac{dr}{dt}=\frac{6}{2\pi}\\\\\frac{dr}{dt}=\frac{3}{\pi}

Now we know that;

side of the square= diameter of the circle

side of the square = 2r

Now Perimeter of the square is given by 4 times length of the side.

P=4\times 2r =8r

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

\frac{dP}{dt}= \frac{d(8r)}{dt}\\\\\frac{dP}{dt}= 8\times\frac{dr}{dt}

But \frac{dr}{dt} =\frac{3}{\pi}

So we get;

\frac{dP}{dt}= 8\times\frac{3}{\pi}\\\\\frac{dP}{dt}= \frac{24}{\pi}\  in/sec

Hence The rate at which Perimeter of the square is increasing is \frac{24}{\pi} \ in/secs.

5 0
4 years ago
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