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katovenus [111]
3 years ago
7

A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
The width should be 56 inches.
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Write an expression using exponents that is equivalent to 100,000
MrMuchimi
10^5 is equivalent to 100,000. I hope this answers your question and I hope you have a great day ! :)
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2 years ago
1.Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
Genrish500 [490]

If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.

8 0
2 years ago
Solve the equation by using the basic properties of logarithms.
Tom [10]

Answer:

B is the awnser

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4. How much interest does a $318 investment earn at 9% over two years?
maksim [4K]

Answer:

In two years, it will get <em>$57.24</em> interest.

Step-by-step explanation:

6 0
3 years ago
What smaller angle is coterminal with 573°
Kobotan [32]

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

<u>Explanation:</u>

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

5 0
3 years ago
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