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OleMash [197]
3 years ago
6

0.242 to the nearest hundredth

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
Two digits after the decimal point it the hundredths place
so we want to round to the place 4 is in
The number after 4 is 2, so we will round down
We will get 0.24
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jennifer is saving money to buy a bike. the bike cost $252. She has 119 saved, each week she adds $19 to her savings.
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It will take her 7 weeks to get it
8 0
3 years ago
What is the area of the triangle shown
Sati [7]

Answer:

The answer is 40 sq. units

That is: 1/2×b×h (formula for area of triangle)

1/2×10×8

= 40

7 0
3 years ago
Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections
svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is  

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

= \pi \times(sinx-cosx)^{2}

= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]

= \pi[1-2sin(x)cos(x)]

= \pi[1-sin(2x)]

Now,

Integrate from x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}, we get volume:

V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx

After integrate without limit we get

V=\pi[x+\frac{cos2x}{2}]

Now after putting the limit, we get

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Hence, the required volume of the solid = π²

3 0
3 years ago
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cluponka [151]
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3 0
3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2 (3, 1) (1, 3) (3, −1) (−1, 3)
ohaa [14]
Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1

y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3

solution is : (-1,3)
7 0
3 years ago
Read 2 more answers
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