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Answer:

16 x 12 = 192

192 x 2 = 384

10 x 8 = 80, 80 divided by 2 = 40

40 x 2 = 80

10 x 16 = 160

Add all given areas:

384 + 80 + 160 = 624 cm2 is your answer.

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

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Answer:

The area of the rhombus is 25.83 cm².

Step-by-step explanation:

The area of a rhombus is given by:

[tex] A = \frac{d_{1} \times d_{2}}{2} [/tex]

Where:      

d₁: is one diagonal      

d₂: is the other diagonal = d₁ + 4 cm

We know that one side length of the rhombus is equal to d₁. We can imagine a right triangle inside the rhombus, with the following dimensions:

h: hypotenuse of the right triangle  

a: one side of the right triangle

b: is the other side of the right triangle  

From the above we know that:

h = d₁                                

[tex] a = \frac{d_{2}}{2} = \frac{d_{1} + 4}{2} [/tex]

[tex] b = \frac{d_{1}}{2} [/tex]            

We can find d₁ with Pitagoras:

[tex] h^{2} = a^{2} + b^{2} [/tex]  

[tex] d_{1}^{2} = (\frac{d_{1} + 4}{2})^{2} + (\frac{d_{1}}{2})^{2} [/tex]

[tex] d_{1}^{2} = \frac{1}{4}(d_{1}^{2} + 8d_{1} + 16 + d_{1}^{2}) [/tex]

By solving the above quadratic equation for d₁ and taking the positive solution we have:

[tex] d_{1} = 5.46 cm [/tex]    

So, d₂ is:

[tex] d_{2} = d_{1} + 4 = 5.46 cm + 4 cm = 9.46 cm [/tex]

Now, we can find the area:

[tex] A = \frac{d_{1} \times d_{2}}{2} = \frac{5.46 cm \times 9.46 cm}{2} = 25.83 cm^{2} [/tex]

Therefore, the area of the rhombus is 25.83 cm².

I hope it helps you!  

Answer: 48

Step-by-step explanation:

The equilateral triangle ABC have a side length of 2 units of the radius length of the circle tangent to the line AB.

An equilateral triangle have all its side lengths equal so;

line AB = line BC = line AC

At points B and C where the lines AB and AC are tangent to the circle is the a side length BC of the equilateral triangle

Line BC form the diameter of the circle which is 2 radius of the circle so;

line BC = 2 × radius of the circle

line BC = 2 × 1

line BC = 2

Therefore, the side length of the equilateral triangle is 2 units of the radius of the circle tangent at point B and C.

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9514 1404 393

Answer:

Step-by-step explanation:

If Anna's age is represented by A, then 12 more than Anna's age will be ...

  12 + A

Jason's age is said to be 12 more than Anna's age, so ...

  J = 12 + A

__

The sum of their ages will be J + A. That is said to be 50, so ...

  J + A = 50

_____

These equations can be solved by using the first to substitute for J in the second.

  (12 +A) +A = 50

  2A = 38 . . . . . . . . subtract 12

  A = 19 . . . . . . . . . . divide by 2

  J = 12 +19 = 31 . . . find Jason's age

Jason is 31; Anna is 19.

Answer:

53

Step-by-step explanation:

https://brainly.com/question/23396982?answering=true&answeringSource=greatJob%2FquestionPage%2F1

Answer:

4

Step-by-step explanation:

Substitute by 0 in the function

Step-by-step explanation:

p(x) = 3x + 4

p(0) = 3(0) +

p(0) = 0 + 4 => 4 Ans.

Answer:

C, definitely two sides are different in the triangle.

A, it looks as if the bottom is a right triangle if you look at it in a different way.

The polygons that would be used in a net isosceles triangle & right triangle

A pyramid is a structure whose outer surfaces are triangular and converge to a single step at the top,

As, we need a triangular pyramid whose base has all the three sides equal in length.

We can have a net in the form of isosceles triangle whose two are equal

i.e., two sides are different in the triangle.

and also, bottom with the right angle

i.e.,  the bottom is a right triangle if you look at it in a different way.

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If the HCF is 5 and the product of the two numbers is 70, then the value of LCM is 14.

The smallest number that can be divided by both numbers is known as the least common multiple, or LCM, of two numbers. The product of the two numbers is the LCM if their greatest common divisor is 1, in which case their product is 1.

First, multiply both numbers by their prime factors to express them. Then, multiply the common factor with the highest power by the remaining factors to obtain the LCM. Take the common factors with the lowest power and multiply them to determine HCF.

To find the LCM of two numbers, you can use the formula: LCM = (a * b) / HCF.

In this case, we know that the HCF is 5, and the product of the two numbers is 70. Therefore, we can substitute these values into the formula:

LCM = (70) / 5 = 14.

So the LCM of the two numbers is 14.

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Answer:

the answer is 9 hope this helps

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

180 minutes

Answer:

2.5

Step-by-step explanation:

Decimeter is 0.1 meter (10 centimeters). That means 25 decimeters is 2.5 meters.

Answer:

which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9

Step-by-step explanation:

Therefore , As a result, h = 2 is the answer to the equation in the given question.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.

Here,

The formula is as follows: 6x + 18 = h(3x + 9)

To ensure that the expression has an unlimited number of answers, h's value must be determined.

Take the expression now and continue solving it.

=> 6x + 18 = h(3x + 9)

=>3hx + 9h= 6x +8

The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.

Therefore, 3h = 6 and h = 2

As a result, h = 2 is the answer to the equation in the given question.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

(x - 12)(x - 2)

Step-by-step explanation:

[tex] {x}^{2} - 14x + 24 \\ \\ = {x}^{2} - 12x - 2x + 24 \\ \\ = x(x - 12) - 2(x - 12) \\ \\ = (x - 12)(x - 2)[/tex]

Answer:

The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.

Answer:

⎆ The word “Panch.atantra” is a combination of the words Pancha – meaning five in Sanskrit, and Tantra – meaning weave. It's an ancient Indian inter-related collection of animal fables in verse and prose, in a frame story format.

⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆

Answer:

Five treatises or five chapters

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

The graph of the linear equation is attached below. After 11 months, the total savings will be $237.50.

What is a saving account?

An account in a retail bank is a savings account. Common characteristics include having a finite number of withdrawals allowed, not having check or connected debit card facilities, having few transfer choices, and not being able to become overdrawn.

Given equation is

y = 12.5x + 100

To find points on the linear equation, putting x = 0, 1 and 2 in the given equation:

y(0) = (12.5 × 0) + 100

y(0) = 100

y(1) = (12.5 × (1)) + 100

y(1) = 12.5 + 100

y(1) = 112.5

y(2) = (12.5 × 2) + 100

y(2) = 25 + 100

y(2) = 125.

The points on the linear equation are (0,100), (1, 112.5), (2,125).

Plot the points and join the points to draw the line to get graph the linear equation.

Putting y = 237.50 in the given equation y = 12.5x + 100:

237.50 = 12.5x + 100

Subtract 100 from both sides:

237.50 - 100 = 12.5x + 100 - 100

137.50 = 12.5x

Divide both sides by 12.5:

x = 137.50/12.5

x = 11

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Answer:

420 69

Step-by-step explanation:

420 420

The pound of cement used based on the information will be C. 2 pounds.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.

The pound of cement used will be:

Gravel = 1 2/3 × 3

= 5 pounds

Cement used will be:

= 2/5 × 5.

= 2 pounds.

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Answer:

  Truck                 Car              Total

Female           5                      35                40

Male              27                     21                48

Total              32                     56                88

P(buying a car given a male )  =  21/88 = .238 ≈ 24%

Step-by-step explanation:

Let B  = Probability of buying a car and being male    21/88

Let M = Probability of being a male  =  48/88

P(B l M)   =  P(B and M) / P(M)   =   (21/88) / (48/88)  = 21/48  = .4375  = 44%