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Nat2105 [25]
3 years ago
7

Terrence says pi is a rational number since it is the ratio of a circle’s circumference to its diameter. Why is Terrence incorre

ct?
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Terrence is not correct.

Terrence is not correct because pi is an irrational number, and it goes on forever with no actual sequence.

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There were 442 students at Deerlake Middle School who voted on a theme for the spring carnival. Those who voted represent 76% of
never [62]

Answer:

Option C is correct.

Step-by-step explanation:

Number of students of Deerlake middle school that voted = 442

Percentage of student that voted = 76%

Let x be the total number of student.

According to the Question,

\frac{76}{100}\times x=442

x=442\times\frac{100}{76}

x=582

Therefore, Option C is correct.

7 0
3 years ago
Area & perimeter of rectangles word problems
nordsb [41]

Answer:

  A.  6 m by 6 m

Step-by-step explanation:

You can try the different choices to see which has the largest area. Of course, the area is the product of the dimensions:

  6 m × 6 m = 36 m² . . . . largest area

  10 m × 2 m = 20 m²

  8 m × 4 m = 32 m²

__

The largest area is that of a square, 6 m by 6 m.   (choice A)

3 0
3 years ago
Please help!!!!!!! How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (The gear has a
damaskus [11]
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference.  The circumference of a circle is:

C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:

d/C=150/360

d=5C/12 and since C=2πr

d=10πr/12

d=5πr/12, and since r=4in

d=5*4π/12 in

d=20π/12 in

d=5π/3 in

d≈5.24 in (to nearest hundredth of an inch)
4 0
3 years ago
An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
4 0
3 years ago
Please help me with this!!! i’m begging!
erma4kov [3.2K]

Answer:

Domain is 3 <x>_-2

Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)

Step-by-step explanation:

First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than <em>or equal to. </em>So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2

Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.

3 0
2 years ago
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