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N76 [4]
3 years ago
12

Indicating whether the following statements are True (T) or False (F).

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0
<span>1. The difference of two rational numbers is always a natural number. TRUE
</span>2. The ratio of two rational numbers is always positive .FALSE

3. The difference of two rational numbers is always a rational number. TRUE

4. The quotient of two rational numbers is always a real number (provided the denominator is non-zero). FALSE

5. The quotient of two rational numbers is always a rational number (provided the denominator is non-zero).TRUE 

6. The sum of two rational numbers is always a rational number. FALSE

7. The product of two rational numbers is always a rational number.<span> FALSE</span>
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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

8 0
3 years ago
(4,2);slope=3<br><br>help me out
ivolga24 [154]
We have a point and a slope, so let's use the point slope formula!

(y - y1) = m(x - x1)
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y1=2
and m=3

(y - 2) = 3(x - 4) \\ y - 2 = 3x - 12 \\ y = 3x - 10
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3 years ago
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal no
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Answer:

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8 + x

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What is the slope of the line that passes through (2, -3) and (9. -7)? Fractions must be in simplest form.
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Answer:

-4/7

Step-by-step explanation:

3 0
3 years ago
Use the diagram below &amp; your knowledge of inscribed angles of a quadrilateral to label the measures of EACH inscribed angle
Marrrta [24]

Answer:

HELLOOOO

Step-by-step explanation:

Sorry I can't help but I hope you got it

8 0
3 years ago
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