16-2<5 solveeeeee itttttt

In abc above,what is the length of ad

Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2BD = 12 $\sqrt{3}$ ( divide both sides by 2 )

BD = 6 $\sqrt{3}$

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Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

tan30° = $\frac{opposite}{adjacent}$ = $\frac{AD}{BD}$ = $\frac{AD}{6\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

$\sqrt{3}$ AD = 6 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

AD = 6 → B

4 0

3 years ago

Finding Derivatives Implicity In Exercise, find dy/dx implicity. 4x3 + ln y2 + 2y = 2x

lisov135 [29]

Answer:

$\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}$

Step-by-step explanation:

Given function : 4x³ + ln(y²) + 2y = 2x

on differentiating both sides with respect to 'x', we get

$\frac{d(4x^3 + ln(y^2) + 2y)}{dx}= \frac{d(2x)}{dx}$

or

$12x^2+\frac{2}{y}(\frac{dy}{dx})+2(\frac{dy}{dx})=2$

or

$12x^2+(\frac{2}{y}+2)\frac{dy}{dx}=2$

or

$(\frac{2+2y}{y})\frac{dy}{dx}=2-12x^2$

or

$\frac{dy}{dx}=\frac{y(2-12x^2)}{2+2y}$

or

$\frac{dy}{dx}=\frac{2y(1-6x^2)}{2(1+y)}$

or

$\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}$

3 0

3 years ago

dvd cases are sold in packages of 9 padded mailing envelopes are sold in packets of 3 what is the least number of cases and enve

Lostsunrise [7]

Im lost at this sorry, hope sum1 helps you out on this tho!

7 0

3 years ago

Subtract the following decimals. a. 0.98 – 0.053 b. 0.67 – 0.4 c. 0.3 – 0.002 d. 3.2 – .789 e. 6.53 – 4.298 f. 6 – 4.32 g. 7 – 3

noname [10]

Answer:

a. 0.927 b. 0.27 c. 0.298 d. 2.411 e. 2.232 f. 1.68 g. 3.426 h. 3.03 i. 1.9 j. 4.538

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6

pishuonlain [190]

Answer:

x = -2 y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

To find x:

If you do (3x - 2y = 10) - (5x + 2y = 6), you will get -2x=4. Divide both sides by -2, and get x = -2.

If you do (5x + 2y = 6) - (3x - 2y = 10), you will get 2x=-4.Divide both sides by 2, and get x = -2.

To find y:

Substitute -2 for x in either equation. It doesn't matter.

For 3(-2) - 2y = 10:

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

For 5x + 2y = 6:

5(-2) + 2y = 6 ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

6 0

2 years ago

16-2<5solveeeeee itttttt​

16-2<5solveeeeee itttttt