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MariettaO [177]
3 years ago
15

The length of the outside stage is 6 feet less than the width.if the total area of the outdoor stage is 720ft^2 what is the widt

h of the stage ?
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer: 30


Step-by-step explanation:

you should draw a model of this. Draw a rectangle labeling opposite sides as x (width). then label the other 2 sides as x-6 (which is the length). If x(x-6)=720, then you should be able to solve. x^2 (squared)-6x=720. Then make it into a quadratic. x^2-6x-720, and solve. You'll get (x-30) and (x+24) meaning x can either equal 30, or -24. If you didn't know- you get positive 30 because x-30=0 (that's what (x-30) and (x+24) means). Obviously a side length can't be negative, so it's 30

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The figure is a parallelogram.one diagonal measures 28 units. Is the figure a rectangle? Explain
guajiro [1.7K]

Answer:

The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Step-by-step explanation:

Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.

we have to tell it is a rectangle or not.

The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it  must satisfy Pythagoras theorem

28^{2}=20^{2}+21^{2}

784=400+441=881

Not verified

∴ The sides of the parallelogram do not meet at right angles.

Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Hope it helps

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Step-by-step explanation:

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Harlamova29_29 [7]

The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

It is given that the standard normal curve shows the shaded area in the curve.

It is required to find the approximate area of the unshaded region under the standard normal curve.

<h3>What is a normal distribution?</h3>

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

In the curve showing the shaded region area between:

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First, we calculate the shaded region area:

From the data given the value of Ф(1) = 0.8413.

P(Z<1)  = 0.8413  and

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The area of the unshaded region:

= 1 - The area of the shaded region  ( because the curve is symmetric)

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= 0.8641 ≈ 0.86

Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

Know more about the normal distribution here:

brainly.com/question/12421652

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