A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The
perimeter of this base is 810 ft. What are the dimensions of the base?
ed
The width of the base is
ft.

By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.

To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.

Assuming that both squares are the same size, we may combine the fractions using a common denominator:

2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20

As a result, the entire shaded area is 3/20 of the total area of the diagram.

We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.

In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

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The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

The numerator is 4 and the denominator is 7. It is a proper fraction.

A fraction represents the part of a set of objects. It has two parts separated by a dividing line, generally written

a/b

Where

There are 3 types of fraction. They are

1. Proper fraction

A proper fraction is a fraction whose numerator is less than the denominator. It makes the value is less than 1.

Example: 3/4, 2/5.

2. Improper fraction

An improper fraction is a fraction whose numerator is more than the denominator. The value is more than 1.

Example: 9/8, 7/5.

3. Mixed fraction

A mixed fraction is a combination of a whole number and a proper fraction. It is the quotient and the remainder of improper fraction.

Example:

From the explanation above, the fraction of 4/7 has the numerator of 4 and the denominator of 7. The numerator 4 is less than the denominator 7, so the fraction is a proper fraction.

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The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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From the information provided we will have that the statement that must be true is:

*The x-intercept of the graph of k is -3. [Option D]

This is, since we are given the point (-3, 0) which represents this value of a linear function.

Answer:

700 miles driven in a day

Step-by-step explanation:

Create an equation to represent the situation, where x is the number of miles.

0.8x + 120 = 0.9x + 50

Solve for x:

120 = 0.1x + 50

70 = 0.1x

700 = x

So, the rental costs will be the same at 700 miles driven in a day.

Answer:

52,5

It holds 10.5 more laundry soap

Answer:

2

Step-by-step explanation:

m=y2-y1/x2-x1

13-5=8

6-2=4

8/4=2

hope this helps :3

if it did pls mark brainliest

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

4/5 < 2/6

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

D because absolute value always makes the sign positive but if there is a negative before the absolute value, that would still stay there.

Step-by-step explanation:

An equation |-13|=13 is correct. Therefore, option D is the correct answer.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

Here,

A) |13|=-13

Absolute value of positive integer is positive. So, option A is incorrect.

B) -|13|=13

Absolute value of positive integer is positive.

Then, -13≠13

So, option B is incorrect.

C) -|-13|=13

Absolute value of negative integer is positive.

Then, -13≠13

So, option C is incorrect.

D) |-13|=13

Absolute value of negative integer is positive.

So, option D is incorrect.

An equation |-13|=13 is correct. Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

You could be working at the Starbucks coffee and you messed up the coffee machine and it's turning really hot it can catch on fire and the counter is made out of would and other flammable stuff you can burn the whole Starbucks down to rubble

f¹(x) = (x + 7)², for x ≥ -7 inverse function is the correct answer.

Function is a specific set of instructions that are designed to carry out a particular task or operation. Functions are commonly used in computer programming to organize code and make it easier to understand and maintain. A function can take input, such as a number or text string, process it, and return an output. This output can be used by other functions or for other purposes. Functions are also used in mathematics, where they are referred to as mathematical functions, and are the building blocks of algebra and calculus.

The inverse of a function f(x) = √x + 7 is f¹(x) = (x + 7)², for x ≥ -7.

This can be seen by substituting x with √x + 7 to get x + 7 = √x + 7, which can be rearranged to (x + 7)² = x. Therefore,

the inverse of the given function is f¹(x) = (x + 7)², for x ≥ -7.

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Answer:

Step-by-step explanation:

In this case we will use the formula V= length × width × height

so, V=  2 1/4 × 1 × 1 1/4

=2 1/4 × 1 1/4

= 9/4 × 5/4

= 45/16

=2 13/16 cubic feet is the full capacity of the rectangular prism

then get the volume of the cube so, we will use the formula V= side times side times side

so, V= 1/4 times 1/4 times 1/4

V= 1/8 times 1/4

V= 1/32 cubic is the volume of the cube

then we will divide the full capacity of the rectangular prism to the volume of the cube

so, 2 13/16 divided by 1/32

so, 2 13/16 times 32/1

so, 45/16 times 32/1

=1,440/16

=90 small cubes can be packed in a rectangular prism in Part A

so, in Part B

V=  2 1/4 × 1 × 1 1/4

=2 1/4 × 1 1/4

= 9/4 × 5/4

= 45/16

=2 13/16 cubic feet is the volume of the rectangular prism

Answer:

1) 5400

2) 113.04

Step-by-step explanation:

40 x 135 = 5400

3.14 x 6² = 113.04

Answer:

A.

area of rectangle=l×b=135×40=5400ft²

B.

diameter=36ft

area =1/4×π×d²=1/4×π×36²=324π 0r 1017.87ff²

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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