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2 years ago

9

a big penguin will eat three times as much as a small penguin. the big penguin will eat 21 grams of fish. let b = number of gram

s the big penguin eats. let s= number of grams the small penguin eats.

1 answer:

garik1379 [7]2 years ago

4 0

S equals 3 times B, I think.
Hope I helped c:

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1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

2 years ago

Nancy leaves the school and drives toward her town at 27 mph. greg leaves the same school 2 hours later and drives the same rout

Paul [167]

Nancy's rate=27 mph
Greg's rate=45 mph
t=Greg's time
t+2=Nancy's time
Since they both traveled same distance then:
27(t+2)=45t
27t+54=45t
18t=54
t=3 hours
Greg will pass Nancy after 3 hours

6 0

3 years ago

From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

3 0

3 years ago

Select the correct answer.

Nat2105 [25]

Answer:

Step-by-step explanation:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is 7.94 * 10^8 miles farther from Sun than Earth is.

6 0

2 years ago

Pls pls help<br> Show work :)

Natasha2012 [34]

9514 1404 393

Answer:

31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

sin(30°) = BE/100

BE = 100·sin(30°)

Then ...

Tan = Opposite/Adjacent

tan(58°) = BE/x

x = BE/tan(58°) = 100·sin(30°)/tan(58°)

x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0

2 years ago