d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.



f. How does the voltage drop across each resistor compare to the voltage of the battery?





4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

5. Three resistors with values of 3 Ω, 5 Ω and 7 Ω are connected in a circuit, as shown. When the switch S1 is in the position shown on the diagram only two resistors, R1 and R2, are connected to the 36 V battery and the current is I1. If the switch is moved to it’s down position the third resistor R3 is connected in series to R1, R2, and the battery, producing a current I2. Find the current reading of the ammeter, I1 and I2, for the two different switch positions.

Answer:

m<F = 44°

length of FH = 15

length of GF = 21

Perimeter of ∆FGH = 50

Step-by-step explanation:

✔️Find m<F using the sum of triangle theorem:

The small box indicates angle 90°. Sum of a triangle is 180°. Therefore,

m<F = 180° - (90° + 46°)

m<F = 180° - 136°

m<F = 44°

✔️Find FH using trigonometric function:

Reference angle = 46°

Length of Opposite side = FH = ?

Length of Adjacent side = GH = 14

Apply TOA because we are concerned with the OPP and ADJ sides:

Tan 46° = Opp/Adj

Tan 46° = FH/14

14*Tan 46° = FH

14.4974243 = FH

FH = 15 (approximated to nearest whole number)

✔️Find GH by applying either a trigonometric function or just simply apply pythagorean theorem:

Pythagorean theorem is given as,

c² = a² + b²

c is the longest side (hypotenuse) = GF = ?

a = GH = 14

b = FH = 15

Thus:

GF² = 14² + 15²

GF² = 421

GF = √421

GF ≈ 21 (nearest while number)

✔️Perimeter of ∆FGH = GH + GF + FH

= 14 + 21 + 15

= 50

Answer:

1.95

Step-by-step explanation:

area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)

area = ( 1/2 ×1 ×0.9) = 0.45 for base

area =1.5+0.45 = 1.95

Answer:

x = 17

Step-by-step explanation:

We can infer that the angles are equivalent based on the opposite angle theorem and we can set the equations equal to one another:

(8x-22)=(5x+29)

from here, we can subtract 5x from each side leaving us with:

3x-22=29

Now add 22 to both sides:

3x=51

Now divide both sides by 3, leaving us with the value of x:

x=17

Answer:

New width = 12 in.

Step-by-step explanation:

Original height = 2 in.

Original width = 3 in.

New height = 8 in.

New width = x = ?

The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.

Thus:

New height/original height = new width/original width

8/2 = x/3

Cross multiply

2x = 3*8

2x = 24

2x/2 = 24/2

x = 12

New width = 12 in.

Answer:

40197 these many 5s make up 200985 so 4 are left to make 200989

Step-by-step explanation:

Answer:

40197.8

Step-by-step explanation:

200989 ÷ 5

40197.8

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=10/15

sin x=0.66

x=sin 42

therefore x=42 degree

Answer: 2 circle to the right

Step-by-step explanation:

You would need to add 2 circles to keep it balanced.

Step-by-step explanation:

seriously another one its ok i can do it

Given:

An isosceles triangle has an angle that measures 40°.

To find:

The other possible angles of the triangle.

Solution:

Case 1: 40° is the measure of base angle of isosceles triangle.

Then, the other base angle is 40°.

Let x be the measure of third angle.

The sum of all interior angles of a triangle is 180 degrees. So,

[tex]x+40^\circ+40^\circ=180^\circ[/tex]

[tex]x=180^\circ-40^\circ-40^\circ[/tex]

[tex]x=100^\circ[/tex]

So, the possible angles are 40° and 100°.

Case 2: 40° is the measure of vertical angle of isosceles triangle.

Let y be the measure of base angles, then

[tex]y+y+40^\circ=180^\circ[/tex]

[tex]2y=180^\circ -40^\circ[/tex]

[tex]y=\dfrac{140^\circ}{2}[/tex]

[tex]y=70^\circ [/tex]

So, the possible angles are 40° and 70°.

Therefore, the correct options are A, B and D.

Answer:

C, -7+12

Step-by-step explanation:

-7--12= 5

-7--12 can also be -7+12

Answer:

The answer is c

Step-by-step explanation:

-7-(-12) = 5

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

Answer:

x = 48 degrees

Step-by-step explanation:

(2x + 2) + (x + 34) = 180

3x + 36 = 180

3x = 180 - 36

3x = 144

x = 144 / 3

x = 48 degrees

I hope this helps :)

Answer:

B. x = 48

Step-by-step explanation:

(x + 34)+(2x + 2) = 180°. Angles on a straight line

x+2x = 180 - (34+2)

3x = 180 - 36

3x ÷3 = 144 ÷3

x = 48°

Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

Answer:

45 [tex]ft^2[/tex]

Step-by-step explanation:

Multiply 9 · 10 = 90 then divided by 2 = 45

Answer:

45

Step-by-step explanation:

Did the test

Answer:

To factor means to express as a product. To expand means to multiply something out.

Step-by-step explanation:

please answer my question for me pleaseeee

Answer:

I say A or B but in favor A

Step-by-step explanation:

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

Answer:

The formula for circumfernce is C=pixd D is diameter

Step-by-step explanation:

Answer:

[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]

Step-by-step explanation:

A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.

When given the following system:

y = 5

4x = 3

One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).

y + 0x = 5

0y + 4x = 3

Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).

[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]

Answer:

can u copy the text and send it to help u

We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

Learn more about multiplications;

https://brainly.com/question/14059007

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Answer:

4/15

Step-by-step explanation:

4/10*6/9

2/5*2/3

4/15