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3 years ago

In parallelogramMNOP , PK=5x and KN=x2−14 . What is PN ?73670100

Mathematics

2 answers:

grigory [225]3 years ago

8 0

answer
C. 70
Just took the quiz so trust me. Good luck!

lisov135 [29]3 years ago

3 0

-4.666666(so forth) or -4.7 if the problem requires you to round.

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Find the price of each product after a discount is applied. A game system costs 199.75 with a discount rate of 18%.

Vika [28.1K]

So if 199.75 is the cost after a 18% discount

The original price is 100%
Then the price after a 18% discount is
Tell me as a percentage

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2 years ago

Read 2 more answers

At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

An office manager spent $4870 on a

Andrews [41]

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 = 1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

7 0

2 years ago

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent

olya-2409 [2.1K]

Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

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