what happens when you subtract a fraction with the same denominators and numerators

Answer:

[tex]\alpha=44\°[/tex]

Step-by-step explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

[tex]tan(\alpha) = \frac{opposite}{adjacent}[/tex]

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

[tex]tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96[/tex]

Finally

[tex]\alpha =arctan(0.96)\\\\\alpha=44\°[/tex]

Answer:

Final answer is [tex]?=44[/tex] degree.

Step-by-step explanation:

Using given information in the picture, we need to find the missing value of angle "?"

Apply formula of tangent function which is :

[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(?^o\right)=\frac{48}{50}[/tex]

[tex]\tan\left(?^o\right)=0.96[/tex]

[tex]?=\tan^{-1}\left(0.96\right)[/tex] degree

[tex]?=43.830860672092581097187030418859[/tex] degree

Hence final answer is [tex]?=44[/tex] degree.

The answer is the last one, 1/12(-x-4).

Explanation:

let's recall that the volume of a rectangular prism is simply the product of its 3 dimensions.

so the volume for the first one is simply 3*4*8 = 96.

now, let's do some quick prime factoring of that 96

96 = 2*2*2*2*2*3

since we know the factors of 96, and we can rearrange them in any way we wish and will always have a product of 96, well, le'ts do some rearranging for the second prism.

the second prism has 4 and 4, namely 2*2 and 2*2, what's leftover? 2*3.

so the second prism must be (2*2) * (2*2) * (2*3), namely a 4x4x6.

Answer:

-10

Step-by-step explanation:

xy = k

(-2)(5) = k

-10 = k

Answer: -10

Step-by-step explanation:

Given: The inverse variation equation is given by :-

[tex]xy=k[/tex]

To find : The constant of variation, k, when x=-2 and y=5

Substitute the given values of x and y in the given inverse equation , we get

[tex]-2\times 5=k\\\\\Rightarrow\ k=-10[/tex]

Hence, the value of constant of variation = -10

Answer:

In the 2% account, Sally has $2200 and in the 6% account, Sally has $6600.

Step-by-step explanation:

Suppose the amount invested at 2% is $X and the amount invested at 6% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:

X + Y = 8800 (The sum of investments is basically the total income).

0.02X + 0.06Y = 440 (The sum of the interest received from the invested amounts is actually the total return).

Now solving these 2 simultaneous equations:

x + y = 8800 (Equation 1)

2x + 6y = 44000 (Equation 2)

From (Equation 1):

x = 8800 - y (Equation 3)

Put (Equation 3) in (Equation 2):

2(8800 - y) + 6y = 44000.

17600 - 2y + 6y = 44000.

4y = 26400

y = 6600.

To find x, substitute y = 6600 in equation 3. This gives:

x = 8800 - y.

x = 8800 - 6600.

x = 2200.

So in the 2% account, Sally has $2200 and in the 6% account, Sally has $6600!!!

SSS Similarity Theorem

Answer:

a

Step-by-step explanation:

f(30)= 14-0.5(30)

f(30)= 14-15

f(30)= -1

Answer is f(-30)= -1

ANSWER

[tex]f(30) = - 1[/tex]

EXPLANATION

The given expression is

f(x)=14-0.5x

We want to finfmd f(30).

We substitute x=30 into the expression to obtain:

[tex]f(30)=14-0.5(30)[/tex]

Multiply out the last term to obtain,

[tex]f(30)=14-15[/tex]

Simplify to get,

[tex]f(30)= - 1[/tex]

Answer:

x = 8

Step-by-step explanation:

Given

- x = - 8 ( multiply both sides by - 1

- x × - 1 = - 8 × - 1, that is

x = 8

Answer:

x = 8

Step-by-step explanation:

Given

- x = - 8 ( multiply both sides by - 1

- x × - 1 = - 8 × - 1, that is

x = 8

Answer:

212°

Step-by-step explanation:

We have the measure of CE and the measure of ED, so all we have to do is combine those two to get the measure of CED.

The arc CE measures 52 degrees.

The arc ED measures 160 degrees

The arc CED is the sum of arc CE and ED, so:

CED = 52° + 160° = 212°

We don't have any length measurement inside that circle to calculate the length of the arc CED in inches, centimeters or otherwise... so we can only measure it degrees.

Answer:18.12

Step-by-step explanation:

Answer: The answer to your question is 200

Step-by-step explanation: because when you are multiply a percentage by a whole number, you are trying to find what percentage of the whole number makes the problem true. In your case, the problem would be set up like this:

44% of what number is 88

0.44 of x is 88

So, now that you have the problem set up, the final answer would be 200 after you have gone through each answer and substituted each value to come up with a true statement

Answer:

point s is inside the circle.

Point s is inside the circle

What is the question being asked here?

Answer:

x² - 4x + 2 = (x - 2)²

For this case we must add the given series. We expanded the series for each of the values of i, that is, from 1 to 5:[tex]3 (1) +3 (2) +3 (3) +3 (4) +3 (5) =\\3 + 6 + 9 + 12 + 15 =[/tex]

We add the terms:

[tex]9 + 9 + 12 + 15 =\\18 + 12 + 15 =\\30 + 15 =\\45[/tex]

Finally, the value of the given series is 45.

Answer:

45

Answer:

I think 15/20

Step-by-step explanation:

If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.

Hope i have helped you!

Answer:

Final answer is [tex]t=5[/tex].

Step-by-step explanation:

Given equation is [tex]t^2-25=0[/tex].

Now we need to solve that equation for t when [tex]t>0[/tex].

[tex]t^2-25=0[/tex]

[tex]t^2-5^2=0[/tex]

[tex](t+5)(t-5)=0[/tex]

or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]

or [tex]t+5=0[/tex], [tex]t-5=0[/tex]

or [tex]t=-5[/tex], [tex]t=5[/tex]

Given that t>0

so that means t=-5 is not possible.

Hence final answer is [tex]t=5[/tex].

The complete factorization of the polynomial [tex]x^3 + x^2 + 9x + 9[/tex] is [tex]x + 1)(x^2 + 9)[/tex] using real coefficients, and [tex](x + 1)(x + 3i)(x - 3i)[/tex] using complex coefficients.

The complete factorization of the polynomial [tex]x^3 + x^2 + 9x + 9[/tex] can be found by grouping and factoring terms with common factors.

To proceed, let's group the terms as follows: [tex](x^3 + x^2) + (9x + 9).[/tex]

Factoring out the common factors in each group gives us [tex]x^2(x + 1) + 9(x + 1).[/tex]

Now, we notice that (x + 1) is a common factor in both terms, so we can factor it out to get our complete factorization: [tex](x + 1)(x^2 + 9).[/tex]

As [tex]x^2 + 9[/tex] can't be factored further using real coefficients, this is the fullest factorization in the realm of real numbers.

However, if complex numbers are considered, [tex]x^2 + 9[/tex] can be expressed as [tex](x + 3i)(x - 3i)[/tex], where i is the imaginary unit.

So, the complete factorization using complex coefficients is [tex](x + 3i)(x - 3i)[/tex]

No, to be proportional, there would be a consistent pattern between x and y. For example 2 times 2.5 is 5. And 3 times 2 is 6. The ratio is not the same.

Answer:

Simplifying

5x = 3x + 14

Reorder the terms:

5x = 14 + 3x

Solving

5x = 14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

5x + -3x = 14 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0

2x = 14 + 0

2x = 14

Divide each side by '2'.

x = 7

Simplifying

x = 7

Step-by-step explanation:

A) a'(0,-4), b'(2,-1), c'(3,-5)

since the coordinates are only moved 5 units down, just reduce the y-coordinates by 5

It never affects D. Cash

Answer:

Cash is never affected.

Step-by-step explanation:

When making adjusting entries, cash is never impacted.

Adjusting entries means to make the account up to date at the end of the accounting period.

All adjusting entries affect a minimum of one income statement account and one balance sheet account, but this never affects cash.

Answer:

196 pi

Step-by-step explanation:

Equation for Surface Area = 4 pi r^2

r = 14/2 = 7

4(7^2)pi

(4)(49)pi

196pi

Answer:

Step-by-step explanation:

the a square deck as a whole area is 225

side^2 so 15^2

the circles area is 78.54

area of circle formula= pi(r^2)

if you subtract the circle from the squares area you get the outside.

area of deck= 146.46

Answer:

146.5 or option A

Step-by-step explanation:

edg 2021

Answer:

y^-1 = (x + 4)/5

Step-by-step explanation:

To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:

→ y = 5x - 4

→ x = 5y - 4

Now, solving for 'y':

→ x = 5y - 4

→ x + 4 = 5y

→ y = (x + 4)/5

therefore, the inverse equation is: y^-1 = (x + 4)/5

Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.

1/2 divided by 1/3

To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.

For this case we have that the boundary line of inequality is dotted, therefore equality is not included.

We find the slope of the line, substituting two points that pass through it:

[tex](0,3)\\(3,5)\\m = \frac {5-3} {3-0} = \frac {2} {3}[/tex]

We evaluate a point within the region and see which case is met:

[tex](x, y) :( 0.6)[/tex]

We replace:

[tex]A) y <\frac {2} {3} x + 3\\6 <0 + 3\\6 <3[/tex]

It is not fulfilled, we discard the first option.

[tex]C) y> \frac {2} {3} x + 3\\6> 0 + 3\\6> 3[/tex]

Is fulfilled!

Answer:

Option C

1/6p + (-4/5) is the equivalent expression. You have to add like terms, meaning constants are added to constants, variables are added to variables, etc. the result you get from adding like variables leaves you with 1/6p + (-4/5) or 1/6p - 4/5

Answer:

The top left graph.

Step-by-step explanation:

That is because it goes through y=-2

Final answer:

To find the total cost per mile to rent the car, add the rental cost for 5 days to the gasoline cost, then divide by the miles driven. Ruth Barr's total cost per mile was approximately $0.3785.

Explanation:

To calculate the total cost per mile to rent the car, we need to add the cost of renting the car for 5 days to the cost of gasoline and then divide the sum by the number of miles driven.

Calculate the rental cost for 5 days: 5 days × $59.95/day = $299.75.

Add the cost for gasoline: $299.75 (rental cost) + $137.76 (gasoline) = $437.51.

Divide the total cost by the number of miles driven: $437.51 ÷ 1156 miles = approximately $0.3785 per mile.

The total cost per mile Ruth Barr spent to rent the car was approximately $0.3785.

Answer:

x= -5 makes the given equation  -4x = 20 true

Step-by-step explanation:

We have been given the equation;

-4x = 20

we are to determine the value of x that will make the equation true. We simply make x the subject of the formula;

divide both sides of the equation by -4;

(-4x)/(-4) = 20/(-4)

x = -5

Therefore, x= -5 makes the given equation  -4x = 20 true

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

The given linear equation is:

-4x = 20

To find the value of x that makes the equation true, we need to solve for x.

We divide both sides by -4 to obtain:

[tex]\frac{-4x}{-4}=\frac{20}{-4}[/tex]

This is the sane as:

[tex]\frac{-4x}{-4}=\frac{-5\times-4}{-4}[/tex]

We cancel out the common factors to get:

[tex]x=-5[/tex]