Two angles are complementary to each other. If one angle measures 23.28°, what is the degree measure of the other angle?

A: 156.72°
B: 66.72°
C: 46.56°
D: 23.28°

Answers

Answer 1

Answer:B 66.72

Step-by-step explanation:

complementary means if two angles are added up they will equal 90. we and eliminate d cause 23.28+23.28=46.56 so d is wrong now let's try c 46.56+23.28=69.84 so c is wrong cause it doesn't equal 90 now let's try a 156.72+23.28=180 its wrong since we are using complementary angles instead of supplementary angles Supplementary are angle two angles that add up to 180. so that just leaves b cause 23.28+66.72=90. i hope this helps and i made sure to explain it as best as i can have a great day

Answer 2

The solution is Option B.

The measure of the complementary angles are 66.72° and 23.28°

What are Complementary Angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Let the first angle and second angle be a and b respectively such that

a + b = 90°

Given data ,

Let the first angle be represented as A

Now , the value of A is = 23.28°

Let the second angle be represented as B

Now , the value of B is = B

The angles A and B are complementary ,

So , A + B = 90°   be equation (1)

Substituting the values in the equation , we get

23.28° + B = 90°

On simplifying the equation , we get

Subtracting 23.28° on both sides of the equation , we get

B = 90° - 23.28°

B = 66.72°

Therefore , the value of B is 66.72°

Hence , the measure of the angle is 66.72°

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Related Questions

What is the difference of a number s and 6

An expression is
.

Answers

Answer:

s-6

both of them are elements

but s is a letter while 6 is a number so these can not subtract each other because they are different values

A recipe book shows measurement conversions for cups to tablespoons. It shows that 0.5 cup equals 8 tablespoons and 1.5 cups equals 24 tablespoons.


Write an equation that shows the proportional relationship between cups and tablespoons where c represents cups and n represents tablespoons.


n = 0.0625c

c = 0.0625n

n equals 0.5 over 8 times c

c equals 8 over 0.5 times n

I have to submit this today pls hurry
AND THANK YOU SO MUCH

Answers

An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n

What is a proportion?

A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

y and x represent the variables in a proportional relationship.k is the constant of proportionality.

Let the cups be represented by c.

Let the tablespoons be represented by n.

Next, we would determine the constant of proportionality (k) as follows:

c = kn

Making k the subject of formula, we have:

k = c/n

k = 0.5/8 ≡ 1.5/24

k = 0.0625.

Substituting the parameters into the equation for a proportional relationship, we have;

c = kn

c = 0.0625n

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Answer:

C = (8/.5)n

Step-by-step explanation:

.5 = 8

1.5 = 24

C = (8/.5)n

Because  

8 divided by .5 = 16

16 * .5 = 8

Ex.2

8 divided by .5 = 16

16 * 1.5 = 24

which one of these constructiond would construct a line of relection that takes the point A to point B​

Answers

Option D is the constructions that would construct a line of reflection from point A to point B. Make a line parallel to line AB.

A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.

What is a Parallel lines?

Parallel lines are two lines in the same plane that are equal distance apart and never intersect. They can be both horizontal and vertical in orientation.

We have,

-Make a perpendicular bisector of segment AB.

A perpendicular bisector does not create a line of reflection that connects points A and B, but rather divides the line AB into two equal parts.

-Draw a line through B that is perpendicular to segment AB.

A perpendicular line through B to segment AB WILL NOT Make a line of reflection from point A to point B.

-Build the line that connects A and B.

A line passing through A and B will NOT create a line of reflection that connects points A and B, but will instead create Line A and B and not its reflection.

Hence,

Make a line parallel to line AB.

A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.

To summarize

Option D is the constructions that would create a line of reflection from point A to point B.

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What is the value of x if 8x=2

Answers

Answer:

8x=2

x=2/8

x=1/4

the co efficient of x is 8

to eliminate it

you divide both sides by the co efficient of x

Part 2 - Find the error(s) and solve the problem correctly.

Simplify:

[tex](x^\frac{3}{5} )^\frac{7}{5}[/tex]

Answer:

[tex](x^\frac{3}{5} )^\frac{7}{5} = (x^\frac{10}{5} )=x^2[/tex]

Answers

The simplified expression is as follows;

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]

The error was made because you didn't multiply the powers.

How to simplify an expression?

The expression can be simplified as follows;

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} }[/tex]

Using the law of indices,

If a base variable is raised to a number (y) and the entire number raised to power (x), then it is equal to the base number raised to the multiplication of the two exponents (x × y) i.e.

Hence,

[tex](A^{x} )^{y} = A^{xy}[/tex]

Therefore, let's apply the rule,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} }[/tex]

Hence,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} } = x^{\frac{21}{25} }[/tex]

Therefore, using the law of indices,

[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]

The error was that he did not multiply the exponents.

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Approximately How many times greater is 1.7 x 10^6 then 3.5 x 10^5?​

Answers

1.7 x 10000000 = 17000000
3.5 x 1000000= 3500000
17000000 divided by 3500000 = 4.857
Round that up to 5
The answer should be 5 hope that helps

Pls help, What is X equal to?

Answers

Answer:

-55

Step-by-step explanation:

given the system y=-1/2x-1 and -1/4x+y+4=0 write the solution to the system on the space provided below as an ordered pair

Answers

The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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The size P of a small herbivore population at time t (in years) obeys the function P(t) = 600e0.16t if they haveenough food and the predator population stays constant. After how many years will the population reach 3000?Round to the nearest hundredth.F) 10.06 yrG) 16,31 yrH) 48.65 yrD 19.86 yr

Answers

Given the function

[tex]P(t)=600e^{0.16t}[/tex]

When P(t)=3000

[tex]\begin{gathered} P(t)=3000 \\ 600e^{0.16t}=3000 \end{gathered}[/tex][tex]\begin{gathered} \text{divide through by 600} \\ e^{0.16t}=\frac{3000}{600} \\ e^{0.16t}=5 \\ 0.16t=in5 \\ 0.16t=1.6094 \\ t=\frac{1.6094}{0.16} \\ t=10.05899yr \\ t=10.06yr(\text{nearest hundredth)} \end{gathered}[/tex]

Hence, it will take 10.06yr for the population to reach 3000, option F

pls help will mark brainliest

Answers

The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

What is a parallel line?

No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."

We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b

Now using the point-slope form we will find the line parallel to Point B (6, 8)

y − y₁ = m(x − x₁)

Put m as 2, y₁ as 8 and x₁ as 6, and we wil get

y − 8 = 2(x −6)

y = 2x − 4 or

2 = (y + 4)/x           (slope)

We will us point-slope form for point A(n, 4) too

y − 4 = 2(x −n)

y = 2x − 2n + 8 or

2 = (y - 8 + 2n)/x

As slope 2 is same in both points it means their equations are same too

(y + 4)/x  =  (y - 8 + 2n)/x

Lest solve for n

(y + 4)/x  =  (y - 8 + 2n)/x

y + 4 =  y - 8 + 2n

4 = - 8 + 2n

4 + 8 = 2n

2n = 12

n = 12/2

n = 6

Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to  y = 2x - 5 is 6.

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Please help I need it by tonight

Answers

Using mathematical operations we can conclude that the area of the given figure is 40 units².

What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.

So, the area of the figure:

Where x = 4, so the expression will become:

x² + x² + x + x

Now, do the mathematical operations to get the area of the figure as follows:

x² + x² + x + x4² + 4² + 4 + 416 + 16 + 840

'

Therefore, using mathematical operations we can conclude that the area of the given figure is 40 units².

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For the following you need to do the following:
a. Name the slope
b. Name the starting value
c. Please draw figure 0, 4, and 5
d. Figure out how many blocks is in figure 100.

Answers

The slope, starting, values and number of blocks in the figures, found using arithmetic progression are;

1. Slope= 2

Starting value = 1

Figure 100 has 211 squares

2. Slope = 3

Starting value = ³

Figure 100 has 303 squares

3. Slope = 2

Starting value = 1

Figure 100 has 101 squares

4. Slope = 2•n + 1

Starting value = 1

Figure 100 has 10201 squares

5. Slope = 3

Starting value = 4

Figure 100 has 304 squares

6. Slope = 2

Starting value = 2 squares and 3 triangles

Figure 100 has 200 squares and 3 triangles

What is an arithmetic sequence?

An arithmetic sequence is one that is formed by the addition of a constant to the value of a term, to get the value of the next term.

1. The difference between the number of squares in subsequent figure is 5 - 3 = 7 - 5 = 2

Which gives;

The equation that gives the number of blocks in each figure is a linear equation of the form, y = m•x + c

Where;

m = The slope = The rate of change of the number of blocks = 2 more squares each subsequent figure

c = The y–intercept = The number of blocks when the figure is Figure 0 = The number of blocks at the start (The starting value)

Subtracting 2 (the slope) from the number of blocks in Figure 1, gives;

c = The starting value = Number of squares in Figure 0 = 3 - 2 = 1

Figure 0 has one square

Figure 4 has (2 × 4 + 1) blocks = 9 Squares

Figure 5 has (2 × 5 + 1) blocks = 11 Squares

Figure 100 has (2 × 100 + 1) blocks = 201 Blocks

2. Here, the slope, m = The rate of change = 3

The starting value, c = 6 - 3 = 3 = Figure 0

The number of blocks in each of the required figures are;

Figure 0 = 3 Squares

Figure 4 = 3 + 4 × 3 = 15

Figure 5 = 3 × 5 + 3 = 18

Figure 100 has (3 × 100 + 3) squares = 303 Squares

3. The slope, c = 7 - 5 = 5 - 3 = 2

The starting value = 3 - 2 = 1

Figure 0 has 1 block

Figure 4 has (2 × 4 + 1) blocks = 9 squares

Figure 5 has (2 × 5 + 1) blocks = 11 squares

Figure 100 has (2 × 100 + 1) blocks = 101 blocks

4. The number of blocks is (n + 1)²

The number of blocks increases by 2•n + 1

The slope = 2•n + 1

The starting value = 2×0 + 1 = 1

Figure 0 has 1 block

Figure 4 has (4 + 1)² blocks = 25 blocks

Figure 5 has (5 + 1)² blocks = 36 blocks

Figure 100 has (100 + 1)² blocks = 10,201 blocks

5. Slope = 13 - 10 = 10 - 7 = 3

The starting value = 7 - 3 = 4

Figure 0 has 4 block

Figure 4 has (3 × 4 + 4) blocks = 16 blocks

Figure 5 has (3 × 5 + 4) blocks = 19 blocks

Figure 100 has (3 × 100 + 4) blocks = 304 blocks

6. The slope = 2

Starting value = 2 blocks and 3 triangles

Figure 0 has 2 blocks and 3 triangles

Figure 4 has (2 × 4) blocks + 3 triangles = 6 squares + 3 triangles

Figure 5 has 10 blocks and 3 triangles

The figure in question 6 shows only the block part

Figure 100 has (2 × 100 = 200) blocks and 3 triangles

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Solve for x and y
35x-21y=10
5x-3y=2

Answers

Answer:

B. There is no solution

Step-by-step explanation:

35x - 21y = 10

 5x - 3y = 2

---------------------

(5x - 3y = 2) × (-7)

= (-35x + 21y = -14)

---------------------------

35x - 21y = 10

-35x + 21y = -14

-------------------------

                 = (-4)

No Solution

I hope this helps!

The system of equation 35x - 21y =10 and  5x-3y=2 has no solution , Option B is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equation is 35x - 21y =10 and  5x-3y=2

We can use elimination method to solve for x and y.

First, we can multiply the second equation by 7 to get:

35x - 21y = 10

35x - 21y = 14

Next, we can subtract the second equation from the first equation to eliminate the x terms:

35x - 21y - (35x - 21y) = 10 - 14

0 = -4

This is a contradiction, so there is no solution for x and y that satisfies both equations. The system is inconsistent.

Hence, the given system of equation 35x - 21y =10 and  5x-3y=2 has no solution , Option B is correct.

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Can someone explain powers of imaginary numbers? (like i^2, i^3, i^4, and so on)

Answers

The powers of the imaginary number gives:

i²  =  -1i³ = -ii⁴ = 1i = i⁵i² = i⁶i³ = i⁷i⁴ = i⁸

etc...

How the powers of imaginary numbers work?

We know that the imaginary number is defined as:

i = √(-1)

If we square it, then we get:

i²  = √(-1)² = -1

As the exponent 2 removes the square root.

With the exponent 3 we get:

i³ = √(-1)³ = √(-1)²*√(-1) = -1*i = -i

i³ = -i

Finally, the exponent 4 gives:

i⁴ = i²*i² = (-1)*(-1) = 1

And now the cycle repeats, we will have that:

i = i⁵

i² = i⁶

i³ = i⁷

i⁴ = i⁸

etc...

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You buy 3.19 pounds of apples, 1.45 pounds of peaches, and 2.31 pounds of pears. What is your total bill?

Answers

Answer:

$6,95

Step-by-step explanation:

3,19

1,45

2,31 +

————

6,95

Tommy's weekly pay is directly proportional to the number of hours he works at the movie theater. His pay is $189 for 21 hours. Find the amount of pay for 40 hours of work.

Answers

We need to find the amount Tommy is paid per hour. This is simple:

r = 189/21
r = 9

Now, to find the amount he is paid, the equation is as follows:

y = rx

For 40 hours, the equation is:

y = 9(40)
y = 360

Answer:

Step-by-step explanation:

r = 189/21

r = 9

Now, to find the amount he is paid, the equation is as follows:

y = rx

For 40 hours, the equation is:

y = 9(40)

y = 360

The low temperatures in degrees Fahrenheit in Marsh ty during aweek in January were:
-3,-5, 3,7-2-2-5
What was the average low temperature for that week?

Answers

Answer:

-1

Step-by-step explanation:

To find the mean average, add them all up and divide by the number of values (7):

-3 + -5 + 3 + 7 + -2 + -2 + -5 = -7

-7 / 7 = -1

Solve this system of equations by eliminating.
5x + 7y=3
-5x + 7y=-17

Answers

The value of x is 2 is and y is -1 is after solving equation by elimination method

what is linear equation ?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

What is elimination method ?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

5x + 7y=3 .....(i)

-5x + 7y=-17......(ii)

Solve equation ii and iii

-5x + 7y=-17

5x + 7y=3

14y = -14

y = -1

put the value of y in equation 1

5x + 7y=3

5x + 7(-1)=3

5x - 7 = 3

5x = 10

x =2

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Which expression is equivalent to (2.1)5 (0.9)?​

Answers

The equivalent expression is 9.45

How to find the equivalent expression?

Calculating the product,

(21.)5 (0.9) = 10.5 *0.9

                  = 9.45

Other equivalent expressions are:

[tex]\frac{189}{20} \text{ and } 9 \frac{9}{20}[/tex]

What is a product?

In mathematics, a product is the outcome of multiplication or an expression that specifies the elements, or objects that can be numbers or variables, that are to be multiplied. The commutative law of multiplication states that the result is unaffected by the order of multiplying real or complex numbers. A number that is obtained by multiplying two or more other numbers together is known as the product .Multiplication in other algebras in general, as well as matrix multiplication as an example, is non-commutative.

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Orenda opened a savings account with $4500 that earns 0.6% simple interest annually. After how many years will the balance of
the account be $4635? Round to the nearest tenth, if necessary.

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4635\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 0.6\%\to \frac{0.6}{100}\dotfill &0.006\\ t=years \end{cases} \\\\\\ 4635=4500[1+(0.006)(t)]\implies \cfrac{4635}{4500}=1+0.006t\implies \cfrac{103}{100}=1+0.006t \\\\\\ \cfrac{103}{100}-1=0.006t\implies \cfrac{3}{100}=0.006t\implies \cfrac{3}{0.6}=t\implies \boxed{5=t}[/tex]

Please solve with work shown.

Answers

264 cm² is surface area .

What is surface area and example?.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.The total space occupied by a 3D object's faces is known as its surface area.The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. It is consistently expressed in square units.

Surface area of triangle = 1/2  * 8 * 16

                                         = 4 * 16  ⇒  64 cm²

area of rectangle =   l * b

                              = 10 * 20

                             = 200 cm²

total surface area = Surface area of triangle +  area of rectangle

                              = 64 + 200

                              = 264 cm²

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∠c and ​∠d​ are vertical angles with m∠c=−3x 58 and m∠d=x−2. what is m∠d? enter your answer in the box. ​ °

Answers

D has a value of 13 using vertical angles.

What is a vertical angle?

When two lines intersect, the angles that face each other are called vertical angles.Instead of referring to them as being up-down, "vertical" in this context denotes that they share a vertex (corner point).

Assuming that C and D constitute vertical angles

The formula is C = (-3x) + 58 and D = x - 2.

We must ascertain what D's measurement is.

Vertical angles are really a pair of opposing angles created when two lines cross.

A and B in the figure represent vertical angles. C and D are also.

Angles vertically are always congruent. Accordingly, in this illustration, A, B, and C, D

Therefore, value of C = D (-3x)+ 58 = x – 2

By assembling,

(-3x )- x = (-2) - 58

By doing more math, 4x = 60 (-4x = - 60)

4 x = 60/4 x = 15 when both sides are divided.

So, ∠D = (x - 2) and  

= 15 - 2 

So, ∠D = (x - 2) and  

Consequently, D has a value of 13 using vertical angles.

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How many 5-digit numbers can you form using the digits 8 and 9?

Answers

Answer:

88888

88889

88898

....

2^5 = 32

a = 86.4 rounded to 1 DP b = 2.81 rounded to 2 DP Find the maximum of a - b​

Answers

83.59 is the solution of linear equation a- b .

What are examples of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).The expression on the left is known as a linear expression because it can be used to solve the equation y = 2x+4 with two variables, which has a graph that is in a straight line. Thus, we refer to 2x+4 as a linear equation (or, later, a linear function).

a = 86.4

b = 2.81

So,

Substitute = 86.4 - 2.81

Calculate the sum or difference = 83.59

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4 = - 2/3 x whats the answer

Answers

hello

[tex]4=-\frac{2}{3}x[/tex]

to solve for x, let's cross multiply both sides

[tex]\begin{gathered} 4=-\frac{2}{3}x \\ 4\times3=-2x \\ 12=-2x \end{gathered}[/tex]

step 2

divide both sides by -2

[tex]\begin{gathered} 12=-2x \\ \frac{12}{-2}=-\frac{2x}{-2} \\ x=-6 \end{gathered}[/tex]

x = - 6

Answer:

x = -6

Step-by-step explanation:

Help asap. 30 points

Answers

Answer:

The terms are rearranged, so the Commutative Property is correct.

Tyrone's bank account had a balance of -$72.04 last week. His paycheck of $335.67 was deposited this week. If there have been no
other transactions, which of the following is true?
OA. Tyrone's current account balance is $263.63.
is $263
OB. Tyrone's current account balance is
$263.63.
OC. Tyrone's current account balance is -$407.71.
OD. Tyrone's current account balance is $407.71.

Answers

Hello, the correct answer to the question should be [tex]263.63[/tex] dollars.

Tyrone does not have any money in his bank account. Also, his balance contains a negative symbol, which means that he owes money to the bank.

[tex]Balance=-72.04[/tex]

When his paycheck arrives, money will come into his account. This means that Tyrone will pay off his debt to the bank.

[tex]335.67-(72.04)[/tex]

Since the money coming into his account and his balance have different symbols, we will add the two values and get the result.

[tex]=263.63[/tex] dollars.

A set of data is represented in the stem plot below.

Part A: Find the mean of the data. Show each step of work. Round answer to the nearest whole number. (2 points)
Part B: Find the median of the data. Show each step of work. (2 point)
Part C: Find the mode of the data. Show each step of work. (2 point)
Part D: Compare your values for mean, median, and mode from parts A, B, and C. Explain which value would best represent the data, and why? (4 points)

Answers

A. Mean = 71

B. Median = 75

C. Mode = 0

D. Mean is used to represent data, because mean measures central tendency.

What is mean , median and mode?

From the given stem we have to write a data set ,

Data set = 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101

Mean = average

         = sum of all numbers / total number of values .

         = 1635 / 23

         = 71.08 = 71

Median = middle term

Total there are 23 terms so middle term is the 12th term .

So median = 75

Mode = Most repeated term or term that has high frequency.

Here no terms are repeating so mode = 0

By comparing mean , median and mode ,

Mean is used to represent data .Because, the mean is the most commonly used measure of central tendency because it averages all of the values in the data set.

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Solve the following a)give the solution in calculator ready form (the exact value of x) and b)approximate the solution to the nearest hundredth.8. 3^2x - 12 * 3^x -28 =0

Answers

Given the following exponential equation:

[tex]3^{2x}^{}-12\cdot3^x-28=0[/tex]

Note: the given equation is a quadratic equation

Let u = 3ˣ

So, the equation will be:

[tex]\begin{gathered} u^2-12u-28=0 \\ \text{factor}\rightarrow(u-14)(u+2)=0 \\ u-14=0\rightarrow u=14 \\ u+2=0\rightarrow u=-2 \end{gathered}[/tex]

so,

[tex]\begin{gathered} 3^x=14 \\ or,3^x=-2 \end{gathered}[/tex]

The negative result will be rejected because the range of the exponential function is greater than zero

So, the exact value of x will be as follows:

[tex]x=\frac{\log 14}{\log 3}[/tex]

The approximate solution using the calculator will be:

x = 2.40

1/2Hd=d^2 solve for b

Answers

The solution of the equation for b is b= 2d²/H

What is subject of formula?

This involves taking a variable in an equation to stand alone

Note that this variable is different from the initial isolated variable

How to determine the equation for b?

The equation is given as

1/2Hb = d²

Divide both sides of the equation by H

So, we have the following equation

1/2Hb/H = d²/H

Multiply both sides of the equation by 2

So, we have the following equation

2 * 1/2Hb/H = d²/H * 2

Evaluate the quotients and the products

b= 2d²/H

The above computation implies that:

We changed the subject of the formula in the equation 1/2Hb = d² from d² to b

This implies that solving for b is a concept of subject of formula

Hence, the solution is b= 2d²/H

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