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Marianna [84]
3 years ago
9

1/6 ÷ 2 = 12 (true or False)?

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger

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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
Rewrite without absolute value sign for different values of x: y=− 2x+5 + 2x−5 if x<−2.5; if x>2.5; if −2.5≤x≤2.5
valentina_108 [34]

Answer:

x<-2.5 =(2x+5)-(2x-5) 2. 5-5

3.0

Step-by-step explanation:

PLz make brainlestiset answer

4 0
3 years ago
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $22 monthly fee
vladimir2022 [97]
Company a = 22 + 0.07m
company b = 8 + 0.12m

We are looking for the time when the prices are equal. i.e. the price of company a = the price of company b

company a = company b
22 + 0.07m = 8 + 0.12m
22 - 8 = 0.12m - 0.07m
14 = 0.05m
m = 14/0.05
m = 280

Therefore, the two companies will cost the same if you talk for 280 minutes
5 0
3 years ago
What type of number is Square root of two
DochEvi [55]

Answer:

irrational

The square root of 2 is irrational.

Step-by-step explanation:

5 0
3 years ago
Someone anwser this please​
Arlecino [84]
486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729
3 0
3 years ago
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