What Is The Function Of Voltmeter In A Circuit (2024)

[tex]\text{Circumference}=\sqrt[]{4868\pi^{}}\text{ f}eet[/tex]

Explanation

Step 1

the area of a circle is given by

[tex]\begin{gathered} \text{Area}_{circle}=\pi r^2=\pi(\frac{d^2}{4}) \\ \text{where r is the radius and d is the diameter} \end{gathered}[/tex]

and the circumference is given by

[tex]\text{Circumference}=\text{ }\pi\cdot diameter[/tex]

then

let

Area=1217 square feet

replace, and isolate diameter

[tex]\begin{gathered} \text{Area}_{circle}\pi(\frac{d^2}{4}) \\ \text{1217=}\pi(\frac{d^2}{4}) \\ Mu\text{ltiply both sides by 4} \\ \text{1217}\cdot4\text{=}\pi(\frac{d^2}{4})\cdot4 \\ 4868=\pi d^2 \\ \text{divide both sides by }\pi \\ \frac{4868}{\pi}=\frac{\pi d^2}{\pi} \\ \frac{4868}{\pi}=d^2 \\ \text{square root in both sides} \\ \sqrt{\frac{4868}{\pi}}=\sqrt{d^2} \\ \sqrt[]{\frac{4868}{\pi}}=\text{diameter} \\ \end{gathered}[/tex]

Step 2

now, we have the diameter, replace it in the circumference formula

let

diameter=39.36 ft

replace

[tex]\begin{gathered} \text{Circumference}=\text{ }\pi\cdot diameter \\ \text{Circumference}=\text{ }\pi\cdot\sqrt[]{\frac{4868}{\pi}} \\ \text{Circumference}=\sqrt[]{\frac{4868\pi^2}{\pi}} \\ \text{Circumference}=\sqrt[]{4868\pi^{}} \end{gathered}[/tex]

I hope this helps you

By definition, a Power has the following form:

[tex]b^n^{}[/tex]

Where "b" is the base and "n" is the exponent.

Powers represent repeated multiplication. For example:

[tex]2^3=2\cdot2\cdot2=8[/tex]

In this case, you have the following Power:

[tex](0.5)^{(10)}[/tex]

Based on the explained above, you can identify that:

- The base of the Power is:

[tex]0.5[/tex]

- And the exponent is:

[tex]10[/tex]

Therefore, that means that to get the result, you must multiply 10 times the base 0.5

The answers are:

1. Power.

2. Base.

3. Exponent.

4. Repeated multiplication.

Solution

The image below is the required graph

ANSWER

Increases by factor of 5/2

EXPLANATION

Given;

[tex]s\left(t\right)=\left(\frac{5}{2}\right)^t[/tex]

At interval (1,2);

For x=1;

[tex]\begin{gathered} s(1)=(\frac{5}{2})^1 \\ =\frac{5}{2} \end{gathered}[/tex]

For x=2;

[tex]\begin{gathered} s(2)=(\frac{5}{2})^t \\ =(\frac{5}{2})^2 \\ =\frac{25}{4} \end{gathered}[/tex]

Average rate of Change;

[tex]\begin{gathered} \frac{\frac{25}{4}-\frac{5}{2}}{2-1} \\ \\ =\frac{15}{4} \\ \end{gathered}[/tex]

Let cherry pies be represented by c, and let lemon meringue pies be represented by m. This means Maria sold 4c and 2m for a total of 96. Also Cody sold 5c and 5m for a total of 170.

The cost of each item is now calculated by the following system of simultaneous equations;

[tex]\begin{gathered} 4c+2m=96---(1) \\ 5c+5m=170---(2) \\ \text{Multiply equation (1) by 5 and multiply equation (2) by 4} \\ 20c+10m=480---(3) \\ 20c+20m=680---(4) \\ \text{Subtract equation(3) from equation (4)} \\ 10m=200 \\ \text{Divide both sides by 10} \\ m=20 \end{gathered}[/tex]

This means the lemon meringue pies sold for $20 each. We shall now substitute for the value of m = 20 into equation (1);

[tex]\begin{gathered} 4c+2m=96 \\ 4c+2(20)=96 \\ 4c+40=96 \\ \text{Subtract 40 from both sides} \\ 4c=56 \\ \text{Divide both sides by 4} \\ c=14 \end{gathered}[/tex]

Therefore, the cherry pie cost $14 each

explanation

We are to find the area of the shaded sector

To do s,w e will have to use the formula:

[tex]\frac{\theta}{360}\times\pi r^2[/tex]

in our case, the central angle is a major angle

[tex]\begin{gathered} \theta=360-90=270 \\ r=18ft \end{gathered}[/tex]

Thus, we will have

[tex]\frac{270}{360}\times\pi\times18^2=243\times\pi=243\pi[/tex]

Thus, the answer is

[tex]243\pi[/tex]

Given data:

The total numbbers of bulbs are n=13.

The expression for the probability that gardener plants 6 yellow bulbs is,

[tex]\begin{gathered} P=\frac{6}{13}\times\frac{5}{12}\times\frac{4}{11}\times\frac{3}{10}\times\frac{2}{9}\times\frac{1}{8} \\ =\frac{1}{13\times11\times3\times4} \\ =\frac{1}{1716} \end{gathered}[/tex]

Thus, the probability that gardener plants 6 yellow bulbs is 1/1716.

The rule of the percent of increasing = (New - Old)/(old) x 100%

Since the old price is $132230.75

Since the new price is $370246.10

Use the rule above

[tex]\begin{gathered} =\frac{370246.10-132230.75}{132230.75}\times100 \\ I=180 \end{gathered}[/tex]

The value is go up by 180%

As per given by the question,

There are given that two similar figure.

Now,

From the the figure,

First find the perimeters of the both figure.

So,

From the formula of perimeters of the square,

[tex]P=\text{Sum of all sides}[/tex]

Then,

The ratiio of the perieters of the both figure is,

[tex]\begin{gathered} P=\frac{\text{Sum of all side in figure 1}}{Sum\text{ of all side in figure 2}} \\ =\frac{9+9+9+9}{15+15+15+15} \end{gathered}[/tex]

Then,

[tex]\begin{gathered} P=\frac{9+9+9+9}{15+15+15+15} \\ =\frac{36}{60} \\ =\frac{3}{5} \end{gathered}[/tex]

Now,

From the formula of the area of the given figure.

[tex]A=(side)^2[/tex]

Then,

The ratiao of the area of the given figure is,

[tex]\begin{gathered} A=\frac{(sideoffigure1)^2}{(sideoffigure2)^2} \\ A=\frac{(9)^2}{(15)^2} \end{gathered}[/tex]

Then,

[tex]\begin{gathered} A=\frac{(9)^2}{(15)^2} \\ =\frac{81}{225} \\ =\frac{9}{25} \end{gathered}[/tex]

Hence, the ratio of the perimeters of the given figure is 3/5, and the ratio of the area of the of given figure is 9/25.

They are supplementary angles, so their addition equals 180°

n + 42 = 180°

Solve for n

n = 180 - 42

n = 138°

Result n = 138°

Sai has divided both sides of the equation by 4, this has resulted in the bottom equation.

Given data:

The given dimension of the rectangular prism is 5/4 cm x 5/3 cm x 5/2 cm.

The expression for the volume is,

[tex]\begin{gathered} V=(\frac{5}{4}\text{ cm)(}\frac{5}{3}\text{ cm)(}\frac{5}{2}\text{ cm)} \\ =\frac{125}{24}cm^3 \end{gathered}[/tex]

Thus, the volume of the rectangular prism is 125/24 cubic-cm.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

radius = 10 m

Step 02:

area ( 90° sector) :

total area ( 360° ):

area = π r² = π (10 m)² = π * 100m² = 314.16 m²

area ( 90° sector):

360° / 4 = 90°

area = 314.16 m² / 4 = 78.54 m²

The answer is:

78.54 m²

EXPLANATION

Considering the system of equations:

(1) 7x - 3y = -25

(2) 4x + 5 = y

Isolating x from the first equation:

Adding +3y to both sides:

7x = -25 + 3y

Dividing both sides by 7:

x = -25/7 + 3y / 7

Substituting x from (1) in (2):

4(-25/7 + 3y/7) + 5 = y

Applying the distributive property and removing the parentheses:

-100/7 + 12y/7 + 5 = y

Adding like terms:

-65/7 + 12y/7 = y

Subtracting -12y/7 to both sides:

-65/7 = y - 12y/7

Adding like terms:

-65/7 = -5y/7

Multiplying both sides by -7/5:

(-65/7)*(-7/5)= y

Switching sides:

y = (-65/7)*(-7/5)

Multiplying terms:

y= 13

Substituting y= 13 in (1):

x= -25/7 + 3*(13)/7

Multiplying like terms:

x= -25/7 + 39/7

Adding the fractions:

x= 2

The solution to the system of equations is:

(x,y) = (2,13)

ANSWER

[tex]\begin{equation*} -\frac{\sqrt{3}}{2} \end{equation*}[/tex]

EXPLANATION

We want to find the value of:

[tex]\cos210[/tex]

We can rewrite it as:

[tex]\cos(180+30)[/tex]

Because 210 degrees is in the third quadrant, the value of its cosine is negative and it is the same magnitude as the cosine of 30 degrees.

In other words, the value of cos210 is:

[tex]\cos(210)=-\cos(30)=-\frac{\sqrt{3}}{2}[/tex]

That is the answer.

According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.

Alternative Interior Angle Theorem DefinitionAccording to the Alternate Interior Angles Theorem, the alternate interior angles formed when two parallel lines are cut by a transversal are congruent.So, in the figure below, if k ∥ l , then ∠2≅∠8 and ∠3≅∠5 .

Example

Since k ∥ l , by the Corresponding Angles Postulate ,

∠1≅∠5 .

Therefore, by the definition of congruent angles ,

m∠1=m∠5 .

Since ∠1 and ∠2 form a linear pair , they are supplementary , so

m∠1+m∠2=180° .

Also, ∠5 and ∠8 are supplementary, so

m∠5+m∠8=180° .

Substituting m∠1 for m∠5 , we get

m∠1+m∠8=180° .

Subtracting m∠1 from both sides, we have

m∠8=180°−m∠1  =m∠2 .

Therefore, ∠2≅∠8 .

You can prove that ∠3≅∠5 using the same method.The opposite of this theorem is also true, i.e., if a transversal cuts two lines k and l so that their alternate interior angles coincide, then k ∥ l.

To Learn more About alternate angle theorem refer to:

https://brainly.com/question/11933154

#SPJ1

Given:

1) A hairdresser uses 800ml of shampoo and 320 ml of conditioner on a daily basis.

The ratio from a to b is writtenn as,

[tex]a\colon b\text{ that is }\frac{a}{b}[/tex]

So, the ration of shampoo to the conditioner is,

[tex]\frac{800}{320}=\frac{5}{2}[/tex]

Answer: 5:2.

2) sugar and flour are mixed in the ratio 2:3

[tex]\text{sugar:flour}=2\colon3[/tex]

Let x be the amount of sugar is used with 600 g of flour.

[tex]\begin{gathered} \frac{2}{3}=\frac{x}{600} \\ 2\times600=3x \\ 1200=3x \\ x=\frac{1200}{3} \\ x=400\text{ g} \end{gathered}[/tex]

Answer: 400 g of suger is used.

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles.

m<1 and m< 2 are equal

Alernate interior angles are congruent

Since we want the number of subsets of the given set that has 13 elements (upgrades), we have that the number of different version of the truck is:

[tex]2^{13}=8192[/tex]

[tex]\begin{gathered} \text{We have to divide 20 into 5, that is} \\ \frac{20}{5}=4 \\ \\ \text{ Each child will get 4 apples} \end{gathered}[/tex]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

y < 1/3x - 2

y ≤ -1/6x - 5

Step 02:

system of inequalities:

ineq. 1:

y < 1/3x - 2

graph the line 1:

y = 1/3x - 2

if x = 0:

y = 1/3(0) - 2 = 0 - 2 = - 2

(0, -2)

if y = 0:

[tex]\begin{gathered} 0\text{ =}\frac{1}{3}x-2 \\ 2=\frac{1}{3}x \\ 2\cdot3=x \\ 6\text{ = x} \end{gathered}[/tex]

(6, 0)

ineq. 2:

y ≤ -1/6x - 5

graph the line 2:

y = -1/6x - 5

if x = 0:

y = -1/6(0) - 5 = 0 - 5 = - 5

(0 , -5)

if y = 0:

[tex]\begin{gathered} 0\text{ =- }\frac{1}{6}x-5 \\ 5=-\frac{1}{6}x \\ 5\cdot(-6)\text{ = x} \\ -30\text{ = x} \end{gathered}[/tex]

(-30 , 0)

graph solution:

The answer is:

The solution to the system: Unbounded

Answer:

D is correct.

Step-by-step explanation:

[tex]f(x) = |x| [/tex]

[tex]3 - f(x) = 3 - |x| [/tex]

So D is correct.

All options from the down will remain always true since it is a square. Drag them to the right then

For the drop-down menu, what remains always the same are the four main angle measurements. They will always be 90 degrees

As per given by the question,

There are given that a original form is,

[tex]4(a-1)+3=15[/tex]

Now,

The first step of the given equation is,

[tex]\begin{gathered} 4(a-1)+3=15 \\ 4a-4+3=15 \end{gathered}[/tex]

Then,

The value of the given equation is,

[tex]\begin{gathered} 4a-1=15 \\ 4a=15+1 \\ 4a=16 \end{gathered}[/tex]

So, here distributive properties used by the student to solving the first step.

Hence, the first step is 4a-4+3=15.

Given Data:

The length of the prism is l=10 m.

The breadth of the prism is b=7 m.

The height of the prism is h=5 m.

The surface area can be determined as,

[tex]\begin{gathered} SA=2(lb+bh+lh) \\ =2(10m\times7m+7m\times5m+10m\times5m) \\ =2(70m^2+35m^2+50m^2) \\ =310m^2 \end{gathered}[/tex]

Thus, option (a) is the correct answer.

Given:

There are given the equation:

[tex]h(t)=-4.9t^2+24t+7[/tex]

Explanation:

According to the concept:

For any quadratic function:

[tex]f(x)=ax^2+bx+c[/tex]

With the negative leading coefficient, it gets the maximum at:

[tex]x=-\frac{b}{2a}[/tex]

So,

Apply the above formula to the given question.

Then,

From the given function:

[tex]h(t)=-4.9t^{2}+24t+7[/tex]

Where,

[tex]\begin{gathered} a=-4.9 \\ b=24 \end{gathered}[/tex]

Then,

Put the all values into the given formula:

So,

[tex]\begin{gathered} x=-\frac{b}{2a} \\ x=-\frac{24}{-2(4.9)} \\ x=\frac{24}{9.8} \\ x=2.45 \end{gathered}[/tex]

Final answer:

Hence, it will take 2.45 seconds to get the maximum height.

ANSWER

66.3 (no units included)

EXPLANATION

We want to find the area of the figure given.

The figure is a semi-circle.

The area of a semi-circle is half the area of a circle. Therefore, the area of a semi-circle is:

[tex]A=\frac{1}{2}\cdot\pi\cdot r^2[/tex]

where r = radius.

We are given the diameter of the semi-circle to be 13 mm.

The diameter is twice the radius, which means that the radius is:

[tex]\begin{gathered} r=\frac{1}{2}\cdot d \\ \Rightarrow r=\frac{1}{2}\cdot13 \\ r=6.5\text{ mm} \end{gathered}[/tex]

Therefore, the area of the semi-circle is:

[tex]\begin{gathered} A=\frac{1}{2}\cdot3.14\cdot6.5^2 \\ A=66.3mm^2 \end{gathered}[/tex]

That is the area of the semi-circle.

We must remember that a ream is the same of 500 paper sheet.

So, 5 reams means that we have 5 x 500 = 2,500 printer paper sheet every 2 weeks.

If we have 6 cases of premier paper we'll get 6 x 8 = 48 reams of paper.

That means there are 48 x 500 = 24,000 paper sheet.

2,500 paper sheet ------------- 2 weeks

24,000 paper sheet ----------- y weeks

2,500y = 2 x 24,000

2,500y = 48,000

y = 48,000 / 2,500

y = 19 weeks

So, 6 cases of premier paper will last 19 weeks. That's our final answer.

Answer:

[tex]825\text{ ways}[/tex]

Explanation:

Here, we want to get the number of ways in which the team of 6 will be selected

From the question, out of 6 males, 4 will be selected, while out of 11 females, 2 will be selected

To select r from a total of n, we use the following formula:

[tex]^nC_r\text{ = }\frac{n!}{(n-r)!r!}[/tex]

Selecting 4 out of 6, we have:

[tex]^6C_4\text{ = }\frac{6!}{(6-4)!4!}\text{ = 15}[/tex]

For the second part, we are selecting 2 out of 11, we have that as:

[tex]^{11}C_2\text{ = }\frac{11!}{(11-2)!2!}\text{ = 55}[/tex]

The total number of ways will be the product of the two as follows:

[tex]55\times15\text{ = 825 ways}[/tex]

Given data:

The distance hiked on monday =15.4 miles.

The distance hiked on Tuesday =20.6 miles.

The length of trail = 50 miles.

The distance hiked on Wednesday =m.

The equation can be written as,

[tex]15.4+20.6+m=50[/tex]

Solving the above equation,

[tex]\begin{gathered} 36+m=50 \\ m=14 \end{gathered}[/tex]

Thus, the required value of m is 14 miles.