What is the effect of two parallel lines are rotated 90 clockwise

GalinKa [24]

1. You turn all mixed numbers into improper fractions
2. Multiply the numerators
3. Multiply the denominator’s
4. Reduce the final answer and convert back to mixed numbers if needed

5 0

4 years ago

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On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

kotegsom [21]

The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.

<h3>What are angles formed by transverse?</h3>

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.
Alternate interior angle- This angle made inside the parallel lines cut by the transversal.
Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.
Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

In the given map, all numbered streets run parallel to each other. Here, both 3rd and 4th streets are intersected by King Avenue.

Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.

The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,

$m\angle y=75^o$

Hence, the measure of angle y is 75 degrees.

The angle y angle z are the supplementary angle, made on the same line. Therefore,

$m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105$

Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.

Learn more about angles formed by transverse line here;

brainly.com/question/13207832

4 0

3 years ago

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For any nonnegative real number.

frutty [35]

Answer:

A

Step-by-step explanation:

We know that $\sqrt{b}=b^{1/2}$ .

We also know that $(a^b)^c=a^{bc}$ .

We can combine these facts to get $(\sqrt{b})^2=(b^{1/2})^2=b^{1/2*2}=b^{1}=b$ .

So, the answer is $\boxed{A}$ and we're done!

<em>Note: the non-negative part or the equation comes from the fact that you assume the square root of a negative number doesn't exist. You will change this assumption later in the year, or in further years.</em>

5 0

3 years ago

A fence is to be built to enclose a rectangular area of 200 square feet. The fence along three sides is to be made of material t

grandymaker [24]

y = 220/ ((10/3) * √22)

It is given that area is 200 square feet. Cost is 3 dollar per foot. Fourth side costs 12 dollars per foot.

This f(x,y) needs to represent the cost of the fence so we can look at each side's price. We can choose the fourth side to be along the x axis and be represented by 13x. The other sides therefore must be represented by 5y, 5y, and 5x.

So, our cost, f(x,y) = 13x + 5x + 5y + 5y = 18x + 10y

Our constraint is xy = 220 as defined by the area of a rectangle.

We can then take our constraint to be put in terms of exclusively x, giving us y = 220/x

Plugging this into our cost, the thing we are minimizing, we get f(x) = 18x + 2200/x

In order to find the minimum we use the first derivative test, taking f'(x) and finding the critical points.

f'(x) = 18 - 2200/x2

Setting this equation to be equal to 0 we find that x = ±√2200/18 . But the negative answer doesn't make sense because distance cannot be negative so we throw it out.

x = (10/3) * √22

We must verify that this is a minimum by confirming the following:

If x < (10/3) * √22, f'(x) < 0. So, f(x) is decreasing when x < (10/3) * √22.

If x > (10/3) * √22, f'(x) > 0. So, f(x) is increasing when x > (10/3) * √22.

Thus, we have guaranteed that (10/3) * √22 is the x dimension. Now we plug in this value in our original equation to find y and that is our y dimension. So, y = 220/ ((10/3) * √22)

Learn more about word problems here: brainly.com/question/21405634

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3 0

2 years ago

Jeremiah is driving from Pensacola to Jacksonville. The graph shows his distance from Jacksonville. 36 E 320 28 240 20 160 120 4

3241004551 [841]

The speed is the change in position divided by the time.

There are four intervals where the speed is uniform:

1) from 0 to 0,5 hours
2) from 0,5 hours to 3 hours
3) from 3 to 4 hours
4) from 4 to 7 hours

We are asked to say the average speed during the interval in which J. is traveling the fastest.

That is where the is more inclined, and that happen in the last interval. There the speed is tha change in position / the time =
(200 -0)miles/3hours = 67 mph.

If you are not sure that this is the fastest speed, you can calculate the speed in the other intervals in the same way and compare.

8 0

4 years ago