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1 year ago

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Mathematics

1 answer:

RUDIKE [14]1 year ago

8 0

Answer:

$\simeq 820 feet$

Step-by-step explanation:

He has asked me to move the finish line 0.25 km forward

Now,

we know that

1 km = 0.621371 mile

⇒ 0.25 km = $0.25 \times 0.621371$ mile

= $0.25 \times 0.621371 \times 1760 \times 3$ feet

(since 1760 yards = 1 mile and 3 feet = 1 yard)

= 820.20972 feet

$\simeq 820 feet$ . (Answer)

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Evaluate the expression 2.1 + (–3.7h) + 1.9h – 1.4

zubka84 [21]

2.1 + (-3.7h) + 1.9h - 1.4
2.1 - 3.7h + 1.9h - 1.4
2.1 - 1.8h - 1.4
0.7 - 1.8h

the simplified form is 0.7 - 1.8h

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1 year ago

Cynthia ran 17.5 laps in 38.5 minutes if she ran each lap at the same pace how long did it take her to run one full lap

marishachu [46]

Answer:

2.2 minutes

Step-by-step explanation:

38.5 ÷ 17.5 = 2.2

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1 year ago

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

AlladinOne [14]

Answers

19 fiction books

7 nonfiction books

Explanation

x + y = 26 ............................................. (i)

x – y = 12 ............................................ (ii)

Elliot added the two equations and the result was

2x = 38.

Dividing both sides by 2;

x = 19

There are 19 fiction books.

Substituting x in equation (i),

x + y = 26 when x = 19

19 + y = 26

y = 26 - 19

= 7

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2 years ago

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Solve for x. −12 = − 3/4 x A) 6 B) 8 C) 12 D) 16

shepuryov [24]

Answer:

D) 16

Step-by-step explanation:

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1 year ago

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Find the area of the part of the plane 5x + 4y + z = 20 that lies in the first octant.

BlackZzzverrR [31]

This part of the plane is a triangle. Call it $\mathcal S$ . We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that $y=z=0$ means $5x=20\implies x=4$ , so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.

Next, we can parameterize the surface by

$\mathbf s(u,v)=\langle4(1-u)(1-v),5u(1-v),20v\rangle$

so that the surface element is

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=20\sqrt{42}(1-v)\,\mathrm du\,\mathrm dv$

Then the area of $\mathcal S$ is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=20\sqrt{42}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-v)\,\mathrm dv\,\mathrm du$
$\displaystyle=20\sqrt{42}\int_{v=0}^{v=1}(1-v)\,\mathrm dv=10\sqrt{42}\approx64.8074$

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2 years ago