Pls pls help Show work :)

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

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.

You might be interested in

Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mista

yarga [219]

9514 1404 393

Answer:

2 miles 2 yards

Step-by-step explanation:

There are 1760 yards in a mile, so you are effectively performing the division ...

(9185 380/1760) ÷ 4590

where the number in parentheses is a mixed number of miles.

You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.

9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88

Then this is divided in the usual way:

$\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}$

Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.

Now, we need to convert 1/880 miles back to yards.

((1/880) mi) × (1760 yd/mi) = 2 yd

So, the quotient you seek is ...

2 miles 2 yards

8 0

3 years ago

Which expression is equivalent to 6^4 x 6^3

Alex777 [14]

Answer:

$36^{7}$