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NARA [144]
2 years ago
3

a cylindrical waste can has a volume of 2474 cubic inches and the area of its base is about 177 square inches. find fhe height o

f the waste can in inches. Round to the nearest tenth
Mathematics
1 answer:
grigory [225]2 years ago
8 0

pi r^2 h/3   is the volume of a cone

Area of the base = pi r^2

So   area = 90 m^2 * h/3 = 810 m^3

                    h/3 = 9

                    h = 27 m

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Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?
hodyreva [135]

Answer:

  The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

  "half the sum ..." is different from "the sum of half ..."

And ...

  "at least" and "not less than" mean the same (≥)

  "not more than" and "at most" mean the same (≤)

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Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

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"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

  means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0
2 years ago
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Yanka [14]
SIx boys can eat seven (7) hotdogs in six (6) minutes.
3 0
2 years ago
The area of a rectangle is (27x5 + 9x4 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the re
Yuliya22 [10]
If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺
8 0
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Line segment ON is perpendicular to line segment ML, and PN = 10.
Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

MO=OL=radius\ of\ circle=25\ units

ON=25\ units

ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units

ML=2*MP\\ ML=2*20\\ ML=40\ units

Find the area of triangle MOL

A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}

therefore

the answer is

the area of triangle MOL is

300 square units

3 0
2 years ago
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The function f(x)=tan(3/2x-pi/2) has:
zlopas [31]
I think the best option here is B. <span>period 2pi/3 and asymptote at x=0
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