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IgorC [24]
2 years ago
7

Please help 14 points

Mathematics
2 answers:
MrMuchimi2 years ago
8 0

Answer:40

Step-by-step explanation:

dangina [55]2 years ago
3 0

Answer:

63 m^{2}

Step-by-step explanation:

If you cut up the shape in to vertical shapes, the rectangle on the right and left have the equation 8 times 3 is 24. So we add 24 and 24 to get 48. The center is a little more difficult. the length is 3 and the height is 8 minus three, which come out to 5. 3 times 5 is 15. 48 plus 15 is 63, therefore your answer is 63.

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The ratio of girls to boys in Jaime's chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there? *
Pavlova-9 [17]

Answer:

50 boys

Step-by-step explanation:

2/4 = 1/2

25*2=50

8 0
3 years ago
Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining box
Vilka [71]

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23 boxes

Step-by-step explanation:

x=5+9*2

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Express 0.0000000125 in scientific notation
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1.25 x 10^-8

Step-by-step explanation:

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Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
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