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ss7ja [257]
4 years ago
9

James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what is

the minimum length of the straight-edge he needs to make the line?
Mathematics
2 answers:
Helga [31]4 years ago
8 0
The straight-edge would have to be 12.7279220614 inches
sineoko [7]4 years ago
3 0
If James draws a diagonal line of length x from one right angle to the opposite right angle, then he divides his piece of paper into two pieces, each of them is right triangle with legs 9 inches and 12 inches.
By Pythagorean theorem:
 x^2=9^2+12^2 \\ x^2=81+144 \\ x^2=225 \\ x=15 inches.
Answer: 15 inches


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Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each
natima [27]

Answer:

$4

Step-by-step explanation:

Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:

38 - 2 = 36

Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:

36 / 9 = 4

So, each candy bar costs 4 dollars

Hope this helps :)

3 0
3 years ago
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Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with lit
SOVA2 [1]

Answer:

D

Step-by-step explanation:

In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.

Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.

From the answer choices, we see D goes with this, hence D is the correct answer.

8 0
4 years ago
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9.6 dm= _____ cm
Sergio039 [100]

Answer:

96 cm

53 cm

4,5 Cm

1,5 Cm

1.7dm

0,5m

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8 0
3 years ago
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When functions are defined by more than one​ equation, they are called?
USPshnik [31]
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3 0
3 years ago
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)?
mel-nik [20]

Answer: The remainder will be 5 only.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

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g(x)=x+2

Now, using the division algorithm, we'll get,

f(x)=g(x)\times (3x^3-4x^2+7x-12)+5

When we compare it with  division lemma, which says that

f(x)=g(x)\times q(x)+r(x)

We get,

r(x)=5

Hence, the remainder will be 5 only.

8 0
3 years ago
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