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3 years ago

Please answer this in two minutes

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

Answer:

w=80

Step-by-step explanation:

The Exterior Angle Theorem states: The exterior angle formed by an extended sign of the triangle is the sum of the two angles in the triangle that it is not directly next to.

In this case, the exterior angle is w+44.

The interior angles we can use are w and w-36.

We can set up an equation:

w+44=w+w-36

Combine like terms.

w+44=2w-36

Add 36 to both sides.

w+80=2w

Subtract w from both sides.

w=80

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You are doing "interval training" around a 400-meter track. To do this, you sprint for 200 meters, jog for 100 meters and then w

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Using proportions, it is found that it will take you 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the given rates, the time that is takes to complete one lap of 400 m is given by:

t = 2 x 12(sprint) + 24(half as fast as the sprint, 24 seconds per 100 meters) + 50 = 98 seconds.

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t = 4 x 98 seconds = 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

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BaLLatris [955]

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3 years ago

For a health assignment, Janet and Kate record how many students wear glasses in each of their classes. In Janet's class, 15 out

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3 years ago

Read 2 more answers

John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that

Phantasy [73]

Answer: The correct option is

(C) 1 : 4.

Step-by-step explanation: Given that John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that of the blue.

When the order was filled, it was found that the number of pairs of the two colors had been interchanged. This increased the bill by 50%.

We are to find the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order.

Let b represents the number of pairs of blue socks that John ordered and p be the price per pair of blue socks.

Then, the price of the black socks per pair = 2p.

The total price of the socks originally is

$C=4\times2p+b\times p=8p+bp$

and the cost of the socks after interchange of the colors is

$C'=4\times p+b\times2p=4p+2bp.$

According to the given information, we have

$(4p+2bp)-(8p+bp)=50\%\times(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{8p+bp}{2}+(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{3}{2}(8p+bp)\\\\\Rightarrow 4+2b=\dfrac{3}{2}(8+b)\\\\\Rightarrow 8+4b=24+3b\\\\\Rightarrow b=16.$

So, there are 16 pairs of blue socks.

Therefore, the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order was

$4:16=\drac{4}{16}=\drac{1}{4}=1:4.$

Thus, option (C) is CORRECT.

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3 years ago

Please help 33-40, thanks!

kogti [31]

33. -8 belongs to:

Set of real numbers; all rational and irrational numbers
Set of integers; positive and negative whole numbers

34. 14 belongs to:

Set of natural numbers; all positive whole numbers
Set of real numbers; all rational and irrational numbers

35. 9.23 belongs to:

Set of real numbers; all rational and irrational numbers

36. $1\frac{5}{9}$ belongs to:

Set of real numbers; all rational and irrational numbers

37. Zero (0) belongs to:

Set of Integers; all positive and negative whole numbers
Set of real numbers; all rational and irrational numbers

38. -1 belongs to:

Set of integers; all positive and negative whole numbers
Set of real numbers; all rational and irrational numbers

39. 1/2 belongs to:

Set of real numbers; all rational and irrational numbers

40. 0.3 where 3 is recurring belongs to:

Set of real numbers; all rational and irrational numbers

6 0

3 years ago