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IrinaVladis [17]
2 years ago
12

Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 3.21 − 1.19 = ___. h

elp pls
Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Answer:

the answer after rounding is 2

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.
Montano1993 [528]
<span>90 + 35 = 125.
180 -125 = 55 degrees.
 

4.59^2 + 6.55^2 = 8^2
21.1 + 42.9= 64 inches</span>
7 0
3 years ago
9) Brennen is rock climbing and is 15 feet above ground level. He descends 4 feet,
DanielleElmas [232]

Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

6 0
3 years ago
How do i solve -3x-5=10
natulia [17]

Answer:

x= -5

Step-by-step explanation:

Add 5 to both sides

-3x -5+5 = 10 +5

-3x = 15

Divide both sides by -3.

-3x/-3= 15/-3

      x= -5

8 0
3 years ago
Find m&lt;_6 if m&lt;_8=120 degrees (show work if possible).
shepuryov [24]

Answer:

h

Step-by-step explanation:

i h you h we all h ya know

3 0
3 years ago
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