The question with the options are in the picture ^ plz and thank you

Answer:

A

Step-by-step explanation:

We are given a right triangle with a base of x feet and a height of h feet, where x is constant and h changes with respect to time t.

The angle in radians is defined by:

[tex]\displaystyle \tan(\theta)=\frac{h}{x}[/tex]

And we want to find the relationship that describes dθ/dt and dh/dt.

So, we will differentiate both sides with respect to t where x is a constant:

[tex]\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big][/tex]

Differentiate. Apply the chain rule on the left. Again, remember that x is just a constant, so we can move it outside the derivative operator. Therefore:

[tex]\displaystyle \sec^2(\theta)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]

Since we know that tan(θ)=h/x, h is the opposite side of our triangle and x is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

[tex]\text{Hypotenuse}=\sqrt{h^2+x^2}[/tex]

Since secant is the ratio of the hypotenuse to adjacent:

[tex]\displaystyle \sec(\theta)=\frac{\sqrt{h^2+x^2}}{x}[/tex]

So:

[tex]\displaystyle \sec^2(\theta)=\frac{x^2+h^2}{x^2}[/tex]

By substitution, we have:

[tex]\displaystyle \Big(\frac{x^2+h^2}{x^2}\Big)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]

By multiplying both sides by the reciprocal of the term on the left:

[tex]\displaystyle \frac{d\theta}{dt}=\frac{1}{x}\Big(\frac{x^2}{x^2+h^2}\Big)\frac{dh}{dt}[/tex]

Therefore:

[tex]\displaystyle \frac{d\theta}{dt}=\frac{x}{x^2+h^2}\frac{dh}{dt}[/tex]

Our answer is A.

Answer:

y = ⅓x - 3

Step-by-step explanation:

First, find the slope using two points on the line, say (0, -3) and (6, 0):

[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{6 - 0} = \frac{3}{6} = \frac{1}{3} [/tex]

Slope (m) = ⅓

Find the y-intercept (b):

The line intercepts the y-axis at y = -3. So b = -3

Next, substitute m = ⅓ and b = -3 into y = mx + b (slope-intercept form):

y = ⅓(x) + (-3)

y = ⅓x - 3

Answer

always

Step-by-step explanation:

Answer:

find the value

Step-by-step explanation:

duhhhhhhhhh

Answer:

Step-by-step explanation:

6x+8+4x+2=180

the sum of interior angles =180

10x+10=180

10x=180-10

10x=170

x=17

Answer:

x = 15 cm

Step-by-step explanation:

Triangle area:

[tex] area = \frac{(20)(15)}{2} = \frac{300}{2} = 150 \: cm[/tex]

Then rectangle area:

[tex]area = (10)(x) \\ 150 = 10x \\ x = \frac{150}{10} \\ x = 15 \: cm[/tex]

Answer:

if you mean the power of these letters then the answer is

x^2,y^2 and z

as they are common in both lists

Answer:

(29x + 9)

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)

                                                                       = (9 + 29x)

Expression (29x + 9) will represent the perimeter of the polygon.

Answer:

x

Step-by-step explanation:

The definition of a variable is an unknown quantity, usually represented by a letter.

The variable in the algebraic expression 5x + 13 will be 'x'.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ 5x + 13

Now,

Since, The algebraic expression is,

⇒ 5x + 13

Hence, The variable of the algebraic expression = x

Therefore, The variable in the algebraic expression 5x + 13 = x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

Answer:

-12

Step-by-step explanation:

-8ab = ?

Plug in the values for a and b.

-8(1/4)(6)

Multiply.

-2(6)

= -12

Answer:

c=64.2

Step-by-step explanation:

by the Angle sum property of triangle,

55+75+(-6+7x) = 180

=> 130 +(-6+7x) = 180

=> (-6+7x) = 180-130

=> (-6+7x) = 50

=> 7x = 50+6

=> 7x = 56

=> x= 56/7

=> x = 8

Answer:

208

Step-by-step explanation:

this is what I did. 348×.6

60% of 580 is 348 is the answer you're looking for

If you divide .6 by 348 you get 580.

To check your answer, you can do .4 (40%) multiplied by 580 to get 232

232+348=250 which is 100%

the answer is K it's parallel

Step-by-step explanation:

the answer is A

Answer:

A

Step-by-step explanation:

It is letter A I got 100!

Answer:

A

Step-by-step explanation:

EDGE 2021

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

This is not the correct answer.

1. 2.30 is not even close to the point given in the number line.

2. My guess for the correct answer would be 0.23 because in between 0.2 and 0.3 is 0.25, so the best answer would be 0.23.

Answer:

Volume of the prism =  280 ft^3

Step-by-step explanation:

Recall that the volume of a prism is given by the  following formula:

Volume = B * H

where B is the area of the base (in our case a right angle triangle), and H is the prism's height (in our case 16 ft)

Then we estimate the area of the triangle at the base as base* height/2 :

Area triangle = 5 * 7 / 2 = 35/2 ft^2

and multiply by the prism's height to get its volume:

Volume = 35/2 * 16 = 280 ft^3

Answer: 8x^2 - 10x - 3

Step-by-step explanation:

first, we multiply the parentheses.

2x x 4x + 2x - 3 x 4x - 3

then, we calculate all of that junk.

8x^2 + 2x - 12x - 3

finally, we collect the like terms.

8x^2 - 10x - 3

Answer:

8x^2-10x3

Step-by-step explanation:

8x^(add the 2 upbove the x)-10x-3

Answer:

2

Step-by-step explanation:

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)