Find the area of the triangle.
16 ft
20 ft


Please help

Let's recall that, the potential difference between any two points X(x,y,z) and Y(a,b,c) is given by ;

So, here ;

[tex]{:\implies \quad \sf \overrightarrow{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex]

So, now our second component of the Integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{dr}=dx\hat{i}+dy\hat{j}+dz\hat{k}}[/tex]

So, now the whole integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=(3x\hat{i}-2y\hat{j}+5z\hat{k})(dx\hat{i}+dy\hat{j}+dz\hat{k})}[/tex]

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=3xdx-2ydy+5zdz}[/tex]

Now, Let's move to the final answer ;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\int_{X}^{Y}3xdx-2ydy+5zdz}[/tex]

As,X is the point (1,3,5) and Y being (3,2,7) , so seperate the integral into three integrals with limits as follows respectively;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(\int_{1}^{3}3xdx-\int_{3}^{2}ydy+\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(3\int_{1}^{3}xdx-2\int_{3}^{2}ydy+5\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{3\bigg(\dfrac{x^2}{2}\bigg)\bigg|_{1}^{3}-2\bigg(\dfrac{y^2}{2}\bigg)\bigg|_{3}^{2}+5\bigg(\dfrac{z^2}{2}\bigg)\bigg|_{5}^{7}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{2\bigg(\dfrac{9}{2}-\dfrac12\bigg)-2\bigg(\dfrac{4}{2}-\dfrac92\bigg)+5\bigg(\dfrac{49}{2}-\dfrac{25}{2}\bigg)\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{3(4)-(-5)+5(12)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{12+5+60\}}[/tex]

[tex]{:\implies \quad \displaystyle \boxed{\bf{V_{Y}-V_{X}=-77\:\: Volt}}}[/tex]

Hence, this is the required answer

Answer:

6/5

Step-by-step explanation:

Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.

Answer:

Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

Answer: 30 units^2

Step-by-step explanation:

[tex]\mathrm{From \ the \ figure \ we \ know \ this \ is \ a \ right \ triangle. \ The \ area \ of \ the \ triangle}:[/tex]

[tex]A = \frac{1}{2}bh \\= \frac{1}{2} \times 6 \times 10\\= 30 \ units^2[/tex]

(Formula for area of right triangle: Half of the product of two right edges)

Therefore, the area of the triangle is 30 units^2

Answer:

Sam ate the most pizza.

Step-by-step explanation:

Mathew: 0.8 is equal to 80%

To get a percentage, you need to move the decimal two places to the right.

Lily: 3/4 = 75%

George: 77%

Sam: 82%

Step-by-step explanation:

If the equation is

[tex] \sqrt{x + 2} [/tex]

Then, here is the answer.

The definition of a derivative is

[tex] \frac{f(x + h) - f(x)}{h} [/tex]

Also note that we want h to be a small, negligible value so we let h be a value that is infinitesimal small.

So we get

[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} [/tex]

Multiply both equations by the conjugate.

[tex] \frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} \times \frac{ \sqrt{x + h + 2} + \sqrt{x + 2} }{ \sqrt{x + h + 2} + \sqrt{x + 2} } = \frac{x + h + 2 - (x + 2)}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{h}{h \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{1}{ \sqrt{x + h + 2} + \sqrt{x + 2} } [/tex]

Since h is very small, get rid of h.

[tex] \frac{1}{ \sqrt{x + 2} + \sqrt{x + 2} } [/tex]

[tex] \frac{1}{2 \sqrt{x + 2} } [/tex]

So the derivative of

[tex] \frac{d}{dx} ( \sqrt{x + 2} ) = \frac{1}{2 \sqrt{x + 2} } [/tex]

Part 2: If your function is

[tex] \sqrt{x} + 2[/tex]

Then we get

[tex] \frac{ \sqrt{x + h} + 2 - ( \sqrt{x} + 2) }{h} [/tex]

[tex] \frac{ \sqrt{x + h} - \sqrt{x} }{h} [/tex]

[tex] \frac{x + h - x}{h( \sqrt{x + h} + \sqrt{x}) } [/tex]

[tex] \frac{h}{h( \sqrt{x + h} + \sqrt{x} ) } [/tex]

[tex] \frac{1}{ \sqrt{x + h} + \sqrt{x} } [/tex]

[tex] \frac{1}{2 \sqrt{x} } [/tex]

So

[tex] \frac{d}{dx} ( \sqrt{x} + 2) = \frac{1}{2 \sqrt{x} } [/tex]

Answer:

Daria's boss expression

Step-by-step explanation:

Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.

Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.

Step-by-step explanation:

tbh I don't know I need help with that too please like this comment

The measure of the marked central angle of the sector will be 280°.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,

Arc / P = 7/9

Simplify the equation, then we have

(θ/2π) 2πr / 2πr = 7/9

θ/2π = 7/9

θ = 14π / 9

θ = 280°

The central angle of the sector will be 280°.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

C

ЖStep-by-step explanationЖ

⇒ [tex]7x^2\sqrt{2x^4}\bullet\ 6\sqrt{2x^1^2}[/tex]

[tex]=7\sqrt{2}x^4\bullet 6\sqrt{2}x^6[/tex]

[tex]=84x^1^0[/tex]

[tex]So\ choose\ C[/tex]

[tex]\{square\ root\ \}.[/tex]

I hope this helps you

:)

Answer:

[tex](-3)[/tex].

Step-by-step explanation:

Over this interval, the change in the value of this function is:

[tex]f(-5) - f(2) = 22 - 1 = 21[/tex].

The corresponding change in the value of [tex]x[/tex]:

[tex](-5) - 2 = -7[/tex].

The average rate of change of function [tex]f[/tex] over this interval is equal to the change in the function value divided by the corresponding change in [tex]x[/tex]:

[tex]\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}[/tex].

Thus, the average rate of change of [tex]f(x) = x^{2} - 3[/tex] over the interval [tex][-5,\, 2][/tex] would be [tex](-3)[/tex].

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1

substitute y - 1 in for x in the first equation, to find y

y - 1 + y = 4

2y - 1 = 4

add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5

divide by 2 on both sides

2y/2 = 5/2

y = 5/2

subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2

so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

Answer:

25/50 = 5/10 = 1/2

Step-by-step explanation:

I hope it will be helpful

Answer:

The value of the derivative at the maximum or minimum for a continuous function must be zero.

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

https://brainly.com/question/24701109

Answer:

8.33

Step-by-step explanation:

Answer: 8.33 minutes will it take to travel from the sun to the earth. Step-by-step explanation: Distance of the Earth from the Sun = d = 1 km = 1000 m.

Answer: 9.33

Step-by-step explanation: you divide Saturn by earth

Answer:

  V = (4/3)π·5³ = 500π/3

Step-by-step explanation:

The formula for the volume of any sphere as a function of its radius is ...

  V = (4/3)π·r³

When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...

  V = (4/3)π·5³

__

When that is evaluated, the volume is found to be ...

  V = 500π/3 ≈ 523.599 . . . cubic units

Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

27,700 - 21,400 = 6300

6300 / 9 = 700.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m =12[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 4 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:m = - 20[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

yes

Step-by-step explanation:

is there a specific question?

Answer: All children should be doing homework. But the amount and quality should change." His basic prescription.

Step-by-step explanation:

Answer:

750 decimeters

Step-by-step explanation:

1 meter is equal to 10 decimeters.

so 75 times 10 equals your answer: 750 decimeters

Hope that helps!

Answer:

7

Step-by-step explanation:

Degree of a polynomial is a variable's highest exponent

In this expression the degree is 7

Answer:

7

Step-by-step explanation:

If you used

P.E.M.D.A.S

Brainly please I worked so hard for this answer

Answer:

1/2

Step-by-step explanation:

There are :-

⇒ 2 red marbles

⇒ 7 blue marbles

⇒ 5 green marbles

Probability (Blue)

Answer:

y=2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-0)

y+4=2x-0

y=2x-0-4

y=2x-4

here.

Step-by-step explanation:

Solution :-

This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,

25° + 90° + x = 180° ( Angle sum property of a triangle )

115° + x = 180°

x = 180° - 115°

x = 65°

Thus, the measure of missing angle is 65°.

Hope that helps. :D

Using linear function concepts, it is found that the true statements are as follows:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:

P(t) = 2,376t + 73,219.

For biology, it is given by:

B(t) = 2,414t + 56, 545

Hence, the correct statements are:

More can be learned about linear function concepts at https://brainly.com/question/24808124

Concept :-

⠀

We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.

Solution :-

⠀

Let us assume the missing angle to be x,

Therefore,

→ 66° + 71° + x = 180° ( Angle sum property of a triangle )

→ 137° + x = 180°

→ x = 180° - 137°

→ x = 43°

Thus, the measure of the missing angle is 43°.

Hope that helps :)

Answer:

Angle B=40 degrees

Angle C= 90 degrees

Angle E=50 degrees

Please Mark Brainliest

these answer- I am sure they ar correct

The only interval with a negative rate of change is the last one:

[1, 2.5]

For an interval (a, b) and a function f(x), the rate of change is defined as:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.

For example, on the interval [1, 2.5} we can see that:

f(1) = 3

f(2.5) = -1

Then on this interval, the rate of change will be negative, meaning that this is the correct option.

If you want to learn more about rates of change, you can read:

https://brainly.com/question/8728504

Answer:

It's D: 1 to 2.5

Step-by-step explanation:

It's D: 1 to 2.5