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nata0808 [166]
2 years ago
15

If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to min

utes.) Please show your work.​
Mathematics
1 answer:
melamori03 [73]2 years ago
4 0
<h3>Answer:  72 words per minute</h3>

Work Shown:

1 hour = 60 min

2 hours = 120 min (multiplied both sides by 2)

2 hours + 30 min = 120 min + 30 min = 150 min

speed = (number of words typed)/(time taken)

speed = (10800 words)/(150 min)

speed = (10800/150) words per minute

speed = 72 words per minute

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What conic section degenerates into a line?
andrew11 [14]
<h3>Answer: A) parabola</h3>

Some degenerate parabola cases form a single straight line, while other cases form one pair of parallel lines.

A degenerate hyperbola forms two lines that intersect at the vertex of the cone. We can rule out choice B.

A degenerate circle is a single point, so we can rule out choice C.

A degenerate ellipse is also a single point. Any circle is an ellipse (but not the other way around). We can rule out choice D.

5 0
3 years ago
Find the value of x
marin [14]

Answer:

x=14

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

sin(\theta)=\frac{opposite}{hypotenuse}

Substitute,

sin(30)=\frac{7}{x}

Inverse operations,

x=\frac{7}{sin(30)}

Simplify,

x=14

5 0
3 years ago
I need help ASAP <br> What is the operation in the equation 5n =-20?
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6 0
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The perimeter of a rectangular field is 356 yards. If the length of the field is 96 yards, what is its width?
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Let x equal the width.  Since the length of the base is 96 yards, multiply that times 2 for 192.  Then using the parameter formula 2w+2b=P, you get 2x+192=356.  Subtract both sides by 192, then divide by 2.

5 0
3 years ago
Hey. I suck at algebra help pls?​
Yuri [45]

Answer: 8

Hope this helps

3 0
3 years ago
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