Out of the salary of Rs.123456, I saved half of it. From the remaining money, I spend 47% on food and 18% on rent. Calculate the amount spent on food and house rent?​

The measure of the angle x would be 30.26°.

What are inverse trigonometric functions?

Inverse trigonometric functions are functions that "undo" the action of the trigonometric functions. They allow us to find the angles of a right triangle given the values of the sides, or to find the values of the sides given the angles.

In the given triangle, by using sine ratio we can write

        sin(x°) = BC/AC

       [tex]sin(x^o)=39/74\\\\x^o=sin^{-1} \frac{39}{74}\\\\x^o=sin^{-1}{0.5270}\\\\x^o=30.26^o[/tex]

Hence, the measure of the angle x would be 30.26°.

To learn more about inverse trigonometric functions, visit:

https://brainly.com/question/1143565

#SPJ1

Answer:

[tex]Circumcenter =(2,333, 1.3333) \;or\; \left(2\dfrac{1}{3}, 1\dfrac{1}{3}\right)[/tex]

[tex]Orthocenter = (2.3333, 2.3333) \;or\;\left(2\dfrac{1}{3},2\dfrac{1}{3}\right)[/tex]

Step-by-step explanation:

A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.

From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.

let, h = height of ladder

Given that,

length of ladder = 12 ft

angle with the ground = 52°

As we know,

sinθ = h/12

or, sin (52°) = h/12

or, 0.7880 = h/12

or, h = 9.456 foot.

the height to which the ladder will reach the wall 9.456 foot.

To know more about height refer to:

https://brainly.com/question/73194

#SPJ1

It will take about 18 million years for Los Angles to be located next to san Francisco.

The distance traveled is 630km (380 miles), and the net distance moves is 36mm per year.

We can use this formula to determine the answer :

Time = distance/rate

630 km = 630,000 m = 630, 000,000 mm

Time = 630,000,000 mm/ 36mm/year = 17,500,000 year

We could also put these dimensional relationship together as follows and then cancel units that occur in both the numerator and the denominator .

We are left with an answer in number of years:

630 km × [tex]\frac{1000m}{1km 1m}[/tex]  × [tex]\frac{1000mm 1 year}{36mm}[/tex]  = 17,500,000 year

Hence, It will take about 18 million years for Los Angles to be located next to san Francisco.

Learn more about Distance at:

https://brainly.com/question/27446823

#SPJ4

Answer:

it is linear

Step-by-step explanation:

i took the test.

By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.

What does testing your hypotheses mean?

To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.

               First, a hazy assumption about the parameter or distribution is made.

What is hypothesis testing, and how can it be used?

A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.

                     The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.

Learn more about hypothesis test

brainly.com/question/17099835

#SPJ4

Answer:

10 years old

Step-by-step explanation:

Answer:

22 divided by 2 is 11

Step-by-step explanation:

The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .

What is business Mathematics?  

Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.

According to Question:

let the the subtotal on the bill was xx dollars

A tax of 8% is added on bill then Bill becomes xx + 8% of xx

The of 8% on bill = (108/100)xx

Now the Final bill = xx + (108/100)xx

                    = (208/100)xx

Hailey decides to leave a tip of 24% on the entire bill (including the tax)

So the Total Amount = (208/100)xx + 24% of Final bills

⇒

24% of (208/100)xx = (208/100)(124/100)xx

The Total amount = (208/100)xx +(208/100)(124/100)xx

Let the Amount be A

hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx

⇒ A = (52/25)xx +(52/25)(31/25)xx

⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)

⇒ 625A = 1300xx + 1612xx

⇒ 625A = 2912xx

⇒ A = (2912/625)xx

To learn more about Business mathematics , check out

https://brainly.com/question/28960886

#SPJ1

Answer:

144.97

Step-by-step explanation:

First, write the problem as an equation : P% × Y = X

Here, P is 7.63, Y is 19, so the equation to solve is 7.63% × 19 = X

Convert 7.63% to fraction

To convert a percent to a fraction, just remove the percent sign and divide the given number by 100

7.63% = 7.63/100

Substitute 7.63/100 instead of 7.63% in the above equation, then 7.63% × 19 = X becomes 7.63/100 × 19 = X

Solve for X:

X = 7.63/100 × 19

X = (7.63×19)/100

x = 144.97/100 = 1.45

Therefore, 7.63% of 19 is 1.45

In the given case we can conclude that when,   7.63 multiplied by 19 equals 145.97.

To multiply 7.63 by 19, we can use the standard method of multiplication. Step 1: Write the numbers vertically, with the larger number on top: 7.63 x 19 Step 2: Start by multiplying the ones place digit (3) of the bottom number (19) by each digit of the top number (7.63). 3 * 7.63 = 22.89 Step 3: Write down the result below the line, making sure to align the decimal point: 22.89

Step 4: Next, multiply the tens place digit (1) of the bottom number (19) by each digit of the top number (7.63). 1 * 7.63 = 7.63 Step 5: Write down the result, shifting it one place to the left: 7.63 22.89 ------ 145.97 Step 6: Finally, add the two partial products together to get the final answer: 22.89 +145.97 ------- 145.97 Therefore, 7.63 multiplied by 19 equals 145.97.

To know more about  multiplied here

https://brainly.com/question/1135170

#SPJ2

The probability that the committee includes all 3 women is 0.00018

In this question, we have been given there are 97 men and 3 women in an organization.

A simple random sample of 5 people is taken to form a committee.

We need to find  the probability that the committee includes all 3 women.

Total number of people in the organization: 97 + 3 = 100

Usinng combination formula the possible number of 5 people committee:

100C5

= 100! / 5!(100 - 5)!

= 75287520

The number of outcomes for the committee includes all 3 women would be:

5C3 = (97C2)*3

       = 13968

So, the probability that the committee includes all 3 women would be,

P = 13968 / 75287520

P = 0.00018

Therefore, the required probability is 0.00018

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

The force on the object is 40N

Force can be described as the influence that can change the motion of an object.

It is seen as an external agent having the capability of changing a body's state of motion or rest.

It causes b in velocity of an object with mass , that is,  to accelerate. Force can also be described as either a push or a pull.

It is described as a vector quantity, that is, it has both magnitude and direction.

The formula for determining force is given as;

F = ma

Where;

Substitute the values

F = 10(4)

F = 40N

Hence, the value is 40N

Learn more about force here:

https://brainly.com/question/25573309

#SPJ1

Answer:

x = 5

Step-by-step explanation:

Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x

Let’s simplify this equation:

25x + 5 =26x

-25x -25x

5 = x

Therefore, x = 5.

Answer:At the rate of 15% the amount of interest on $2000

Step-by-step explanation:

simple amount= Principle(1+rt)

where r= rate of inetrest

t= time

principal is initial amount

therefore, amount=2000(1+15*1)

Amount = $2,300.00

Interest = Amount - Principal = $300.00

Answer:

Step-by-step explanation:

Interest = Principle * Rate * Time /100

Principle =  $2000

Rate = 15 %

Time =  1 year

I = 2000 * 15 * 1/100

I = 300

Juan has to pay $300 in a year

Answer:

greater

Step-by-step explanation:

972 is a higher number than 792 so the answer is greater

Answer:

972 is greater than 792

Step-by-step explanation:

972 > 792

Answer:

Step-by-step explanation:

Answer:

-3.5(x-14)+9x=5.5x + 49 is a TRUE statement that equals 0. It has infinite solutions.

Step-by-step explanation:

An isosceles triangular prism, its surface area becomes: 568 feet²

The faces of a polyhedron called an isosceles triangular prism are made up of polygons. It has six edges, five faces, and five vertices. Isosceles triangles make up the two portions at the base that face each other and rectangles make up the vertical faces of the five faces.

where the isosceles triangle's base has equal sides measured in "a" units, each triangle's base measured in "b" units, the triangle's height measured in "h" units, and the length of the congruent rectangles measured in "l" units.

The surface area of an isosceles triangular prism is:

Surface area = (b × h) + (2× l × a) + (l × b)

here, b = the base of each of the triangle = 16 feet

h = the height of the triangle = 18 feet

l = length of the congruent rectangles = 10 feet

a = isosceles triangle in the base have the equal sides be "a" units = 6 feet

Now, Surface area = (16 × 18) + (2 × 10 × 6) + (10 × 16)

or, Surface area = 568 feet²

To know more about isosceles triangular prism refer to:

https://brainly.com/question/16773968

#SPJ1

The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273

In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.

we need to find  the approximate mean and standard deviation of the number of chips meeting specifications

Since 90% meet specifications we can say p = 0.9

So, q = 1 - p

q = 1 - 0.9

q = 0.1

here,  a sample size is n = 18

So, the mean would be,

μ = np

μ = 18 * 0.9

μ = 16.2

And the standard deviation would be,

σ = √npq

σ = √(18 * 0.9 * 0.1)

σ = 1.273

Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273

Learn more about the mean and standard deviation here:

https://brainly.com/question/28108712

#SPJ4

The required percent decrease in the price of the skateboard is 40%.

What is the percentage?

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here, we have

Original price = $84.50

sale price = $50.70

Percent decrease = 84.50-50.70/84.50 × 100 = 40%

Hence, the required percent decrease in the price of the skateboard is 40%.

To learn more about the percentage from the given link

https://brainly.com/question/24304697

#SPJ1

The smallest representable positive number is 2149, or roughly 1.4*10-45.

Lets take a  32-bit floating point integer (IEEE 754) with the following bits,

0-22 for the mantissa (23 bits), 23-30 for the exponent ( 8 bits), and 31 for the sign (1bit)

The decimal counterpart of this expression would be if we put all zeros in the mantissa and all ones in the exponent.

The way of representing huge numbers in terms of powers is known as an exponent.

Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.

The exponent is represented by the symbol  ^ . This symbol is known as a carrot . As an illustration, 4 raised to 2 can be expressed as 4^2 .

To learn more about exponents

brainly.com/question/5497425

#SPJ4

If the model is true, there would be around 1689 students sick during the 12th week of classes.

The number of students getting sick was growing exponentially with a growth factor of ‘1.6.

Week 1 : (6)

Week 2 : (10)

Week 3 : (15).

To find the number of students sick on the 12th week of school, we can use the formula for exponential growth:

y = a bˣ

Where:

y is the number of students sick on the x th week

a is the number of students sick on the first week (6 in this case)

b is the growth factor (1.6 in this case)

x is the number of weeks that have passed (12 in this case)

Plugging in the values, we get:

y = 6 · 1.6¹²

Solving for y, we get:

y = 6 · 281.47

y = 1688.8 ≈ 1689

Therefore, there would be approximately 1689 students sick on the 12th week of school if the model is correct.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ1

The missing factor for A in the model is 3/4

From the question, we have the following parameters that can be used in our computation:

Length of column A = 4

Shaded region in column A = 3

This means that

The missing factor = Shaded region/Length of column A

Substitute the known values in the above equation, so, we have the following representation

The missing factor, A = 3/4

Here, we have

Length of column B = 5

Shaded region in column B = 1

This means that

The missing factor = Shaded region/Length of column B

Substitute the known values in the above equation, so, we have the following representation

The missing factor, B = 1/5

In (a) and (b), we have

The missing factor, A = 3/4

The missing factor, B = 1/5

So, we have

Pair = 3/4 * 1/5

Evaluate

Pair = 3/20

Read more about factors at

brainly.com/question/219464

#SPJ1

First:

Quotient: [tex]2x^{2} -11x+58[/tex]

Remainder: [tex]-294[/tex]

Second:

Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]

Remainder: [tex]422[/tex]

Third:

Quotient: [tex]2x-3[/tex]

Remainder: [tex]12[/tex]

△KML is congruent to △QNP (△KML ≅  △QNP) under SSA conditions.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

If two triangles meet all 5 requirements for congruence, then they are congruent.

They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) (RHS).

So, in the given triangle:

Prove that: △KML ≅  △QNP

∠L = ∠P = 90° (Equal: Given)

ML = QP = 12 units (Equal: Given)

Mk = QN = 15 units (Equal: Given)

So, △KML ≅  △QNP is under SSA condition.

Therefore, △KML is congruent to △QNP (△KML ≅  △QNP) under SSA conditions.

Know more about the congruency of triangles here:

https://brainly.com/question/29003974

#SPJ1

The lengths of the sides of the triangle are 5, 12, and 13.

So the correct option is the last one.

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)²)

Here we know that the vertices of our triangle are the points:

(0, 0), (5, 0), (5, 12)

And we want to find the lengths of the sides.

We can get the length of the first side using the points  (0, 0), (5, 0)

d₁ = √( (0 - 5)² + (0 - 0)²) = 5

The length of the second side is: (5, 0), (5, 12).

d₂ = √( (5 - 5)² + (0 - 12)²) = 12

The length of the third is side is given by the points (5, 12) and (0, 0)

d₃ = √( (5 - 0)² + (12 - 12)²)

d₃ = √(25 + 144) = 13

Then the correct option is the last one:

5, 12, 13.

Learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

The difference between Z₁ and Z₂ is -10 + 0i.

Z₁ - Z₂ locates on the real axis, this is solved using the concept of complex numbers.

Option b is correct.

Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex arithmetic, including algebra.

Complex numbers are those that are represented as a+ib, where a and b are actual numbers and i is an imaginary number termed a "iota." i  has the value (√-1).

From the graph we can know:

Z₁ (-5,2) = -5 + 2i

Z₂ (5,2) = 5 + 2i

The difference between Z₁ and Z₂ is Z₁ - Z₂

So, Z₁ - Z₂ = (-5 + 2i) - (5 + 2i)

Z₁ - Z₂ = - 10 + 0i

Thus, Z₁ - Z₂ locates on the real axis.

Correct option is: b

To know more information about complex numbers here

brainly.com/question/501218

#SPJ4

Answer:

Option B

Step-by-step explanation:

I just finished the test on edge. confirmed correct

The equation of the parabola that has a vertex  (-3,4) and passes through  (2,8) is 25y = 4x² + 24x + 13.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.

Given:

The vertex = (-3, 4) and the point = (2, 8)

Write the equation using the standard form given below,

[tex]y = a (x - h)^2 + k[/tex]

y = a[x - (-3)]² + 4

y = a(x + 3)² + 4

Now put the coordinates,

8 = a (2 + 3)² + 4

8 = 25a + 4

a = 4 / 25

Put the value of a in the above equation,

y = 4/25 × (x + 3)² + 4

25y = 4 (x² + 9 +6x) + 100

25y = 4x² + 36 +24x + 100

25y = 4x² + 24x + 13

To know more about Parabola:

https://brainly.com/question/10572747

#SPJ1

Answer:

84

Step-by-step explanation:

Let's call the number of cookies Mrs. Green sold "x". We can then write the following equation to represent the information given in the problem:

x - 36 - 48 = 0

Solving for x, we get:

x = 36 + 48

Mrs. Green sold 36 + 48 = 84 cookies.

Tell me if this helped :)