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2 years ago

If a person walks 1/2 a mile in each 1/4 hour, how far does he walk in 1 hour?

Mathematics

2 answers:

laila [671]2 years ago

5 0

Answer:

2 miles

Step-by-step explanation:

1/2+1/2+1/2+1/2=1

Deffense [45]2 years ago

3 0

Answer: He walks 2 miles in one hour.

Step-by-step explanation:

1 Mile per 1/2 of a mile is 2 miles per 1 hour.

I hope I helped you with this question. Have a great day!

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14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)

nlexa [21]

Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

=70°

Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

8 0

3 years ago

Which of the following is equal to the length of the major axis of an ellipse?

kakasveta [241]

Answer:

It's A.

Step-by-step explanation:

The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.

6 0

2 years ago

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Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.

creativ13 [48]

Answer:

≈ 13.98%

Step-by-step explanation:

As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.

4963/5769=0.8602

Then you multiply it by 100 to transform it into percentage

0.8602*100=86.02%

Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

100% - 86.02% = 13.98%

Also you can say that is approximately 14%

4 0

2 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

2 years ago

Paper clips cost $2.20 per 1000. How much would I need to pay for 4,500

dem82 [27]

Answer:

2.20 per 1000 so it's gonna be $2.20/1000 per 1. So 4500 take $2.20/1000*4500=...

Step-by-step explanation:

8 0

2 years ago

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