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Elena-2011 [213]
3 years ago
10

A ship is sailing on the sea. It travels 50 miles at 60° to the horizontal. Then the ship travels 90 miles at 30° to the horizon

tal
before coming to a stop. How many miles North has the ship travel?
A)
25+ 4573
B)
25V3+45
D)
70
E)
140
Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

(25\sqrt{3}+45)\ miles

Step-by-step explanation:

we know that

The total vertical distance (total miles North) traveled is equal to

d=50sin(60^o)+90sin(30^o)

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

sin(30^o)=\frac{1}{2}

substitute

d=50(\frac{\sqrt{3}}{2})+90(\frac{1}{2})

d=(25\sqrt{3}+45)\ miles

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The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h
Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
5 0
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Which of the following polynomials is the expansion of (x - y)4? x4 - x3y + x2y2 - 2xy3 + y4 x4 -2x3y3 + y4 x4 - 2x3y + x 2y 2 -
sammy [17]

Answer:

(x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4.

Step-by-step explanation:

We want to find the polynomial that will result from expanding:

(x-y)^4.

Recall that we can use the Pascal's triangle to obtain the coefficient as:

1     4    6   4   1

Also note how the negative sign is going to alternate.

The <em>power of x </em>will decrease from left to right while the <em>power of y</em> increases from left to right

The expansion then becomes:

(x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4.

7 0
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If the given figure was folded into a
andreyandreev [35.5K]

Answer:

the answer is c.840

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6 0
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Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying
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Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

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3 years ago
Find the unit rate for 780 miles in 3 days
choli [55]

Answer:

260

you divide 780 by 3




4 0
2 years ago
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