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3 years ago

HELP PLEASE PLEASE PLEASE!!!! WILL GIVE BRAINLIEST

Mathematics

1 answer:

Readme [11.4K]3 years ago

5 0

9514 1404 393

Answer:

y ≈ 12.3

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationship between trig functions and side of a right triangle. In particular, when the adjacent side and hypotenuse are involved, the desired relation is ...

Cos = Adjacent/Hypotenuse

cos(35°) = y/15

y = 15·cos(35°)

y ≈ 12.3

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Use green’s theorem to evaluate

Georgia [21]

By Green's theorem (all the conditions are met), we have

$\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy$

where D is the interior of the path C, or the set

$D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}$

So, the line integral reduces to the double integral,

$\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx$

$\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx$

$\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx$

$\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx$

$\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}$

5 0

2 years ago

A car travels 300 km in 6 hours

prohojiy [21]

Answer: 31mph

Step-by-step explanation:

ok that is 186.411 miles in 6 hours or 31.0685mph

8 0

3 years ago

Read 2 more answers

If f(x) = 7x2 - 4x, what is the value of f(2)? F -8 J 17 G 2 K 20 H 6

kow [346]

Answer:

K 20

Step-by-step explanation:

f(x) = 7x2 - 4x

f (2) = 7 (2)^2 - 4(2)

= 28 - 8

= 20

Since they replaced the x inside f(x) with 2, just do that the same to the right side, change all x into 2

4 0

3 years ago

HELP FAST!! WILL GIVEV BRAINLIEST

Alekssandra [29.7K]

Answer:

-2, -4, -1.5

Step-by-step explanation:

-6x+10>16

-6x>6

x<-1

(anything less than -1)

4 0

3 years ago

Read 2 more answers

Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour.

Blababa [14]

Answer: 20025 gallons per hour
89 times 60= 5340 cups in one minute
5340 times 60= 320,400 cups in one hour
Convert 320,400 cups into gallons and you will get 20025.
Not positive if this is correct but it’s better than nothing lol.

6 0

3 years ago