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3 years ago

Name two different numbers that round to 8.21 when rounded to the nearest hundredth

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

Answer:

8.213 and 8.214 will round to 8.21 if rounded to the nearest hundredth :)

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1/3 rd part of the length of a bamboo is coloured in red and 1/5th part of it is coloured green and the remaing is 14m is colour

aksik [14]

$\bold{\huge{\blue{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

1/3rd part of the length of a bamboo is coloured with red and 1/5th part of it is coloured with green and the remaining is 14m is coloured with yellow.

$\bold{\underline{ To \: Find :- }}$

We have to find the total length of the bamboo

$\bold{\underline{ Let's \: Begin :- }}$

Let the total length of bamboo be x

According to the question, 

$\sf{\dfrac{ 1}{3}}{\sf{x +}}{\sf{\dfrac{ 1}{5}}}{\sf{x + 14 = x }}$

$\sf{\dfrac{ 1}{3}}{\sf{x + }}{\sf{\dfrac{1}{5}}}{\sf{x = x - 14 }}$

$\sf{\dfrac{5x + 3x}{15}}{\sf{ = x - 14 }}$

$\sf{ 5x + 3x = 15( x - 14 )}$

$\sf{ 8x = 15x - 210 }$

$\sf{ 210 = 15x - 8x}$

$\sf{ 7x = 210 }$

$\sf{ x = }{\sf{\dfrac{ 210}{7}}}$

$\sf{\red{x = 30\: m}}$

Hence, The total length of the bamboo is 30m.

6 0

2 years ago

Please someone help me...

kramer

Step-by-step explanation:

x cos θ + y sin θ = x cos β + y sin β

Let's say x = cos A, and y = sin A.

cos A cos θ + sin A sin θ = cos A cos β + sin A sin β

Use angle sum formula.

cos(A − θ) = cos(A − β)

A − θ = ±(A − β)

A − θ = β − A

2A = θ + β

A = (θ + β) / 2

cot A = cot((θ + β) / 2)

x/y = cot((θ + β) / 2)

4 0

3 years ago

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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Leona [35]

Answer:

( $\frac{2}{3} , \frac{1}{5}$ )

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

4 0

3 years ago

1. Given the curve that is described by the equation r = cos Ф, find the angle that the tangent line makes when Ф = 120°

svp [43]

Hi,

Here are the solutions.

Note that these are numbered in the same manner, and in the same order, as they were posted in.

1. A. 30 degree

15. D. 24 radians per sec square

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4. A. the anti derivative of 1 + cos10x/2 dx

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7. C. 1/3 x sin3x + 1/9 cos3x + c

8. C. 1/2 x e the power of 2x - 1/4e the power of 2x + c

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10. B. 18 pie

11. B. 5pie/2 + 4

12. B. the square root of 5 pie

13. A. (0, 1.6)

14. A. 7.5(1 + e the power of -2)

15. A. 7.5 the square root of 1 + 4e the power of -2 - e the power of -4

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zvonat [6]

Yur answer is 35.39y

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3 years ago

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