Marla thinks she can rewrite the expression as 4×(3+18) ÷6 and still get the same value is she correct? What I'd the value of Marla expression?

Answer:

- The scale factor is one-half

- The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle

-The area of the reduced figure is (1/2)^2 = 1/4 times the area of the original figure

Step-by-step explanation:

The ratio of the length of the original rectangle to that of the reduced rectangle is 6 to 3, or a factor of 1/2. The ratio of the width of the original rectangle to that of the reduced rectangle is 2 to 1, or, again, a factor of 1/2. So, because this ratio of 1/2 is constant, we know the total scale factor is 1/2, making B correct.

The perimeter of a rectangle is: [tex]P=2l+2w[/tex], where l is the length and w is the width. The perimeter of the reduced figure is: P = 2 * 3 + 2 * 1 = 6 + 2 = 8 units. The perimeter of the original figure is: P = 2 * 6 + 2 * 2 = 12 + 4 = 16 units.

Notice that 16 * (1/2) = 8, which means that the perimeter of the scale-factored, reduced rectangle is "the product of the scale factor (which is 1/2) and the perimeter of the original rectangle (which is 16)". So, C is correct.

The area of a rectangle is: [tex]A=lw[/tex], where l is the length and w is the width. The area of the reduced figure is: A = 3 * 1 = 3 units squared. The area of the original figure is: A = 6 * 2 = 12 units squared.

Notice that 12 * (1/4) = 3, which means that E is correct, but D is wrong.

Hope this helps!

Answer:

Statement 2: The scale factor is One-half

Statement 3: The perimeter of the model is the product of the scale factor and the perimeter of the original rectangle.

Statement 5: The area of the reduced figure is (One-half) squared, one-fourth times the area of the original figure.

Step-by-step explanation:

A smaller rectangle has a length of 3 and width of 1

Perimeter: 2(3+1) = 8

Area: 3×1 = 3

A larger rectangle has a length of 6 and width of 2

Perimeter = 2(6+2) = 16

Area = 6×2 = 12

Comparing areas:

Smaller : larger

3 : 12

1 : 4

Comparing perimeters:

Smaller : larger

8 : 16

1 : 2

Answer:

C sqrt (4) or 2

Step-by-step explanation:

(x + 4)^2 + (y − 3)^2 = 4

We know that the equation for a circle can be written in the form

(x -h)^2 + (y − k)^2 = r^2  where (h,k) is the center and r is the radius

Rewriting the above equation

(x - -4)^2 + (y − 3)^2 = 2^2

The center is (-4,3) and the radius is 2

Answer:

It would open upward.

Step-by-step explanation:

If you see on the equation, there is a positive (+) sign on the [tex]3x^2[/tex].  If you see the positive sign on anything that is squared, and it is asking for a quadratic function, then it will always open upward.  If you see a negative sign on anything that is squared, and is asking for a quadratic function, then it will open downward.

Answer:

Upwards

Step-by-step explanation:

The reason is this quadratic function has a positive coefficient which is 3. The reason 3 is the coefficient is that 3 is the one with the X with a square in it. if 3 would have been negative, well the answer would be the opposite.

Hope That Helped

volume = 1/2 x a x b x X

1152= 1/2 x 12x 12 x X

12*12 = 144

1152 = 1/2 x 144 x X

1152/ 1/2 = 2304

2304 =144 x X

X=2304/144 = 16

check  1/2*12*12*16 = 1152

x=16cm

Answer:

(x + 5.66, y + 5.66) where (x, y) is the location of the crater

Step-by-step explanation:

Locating volcano's crater at (0, 0), the new vent is at angle equal to 45° respect x-axis, and at distance of 8 km from the crater. In polar coordinates that is radius (r) = 8, angle (α) = 45°. We are asked to transform these polar coordinates into rectangular coordinates. To do it, we have to use the following formulas:

x = r*cos α = x = 8*cos 45 = 5.66

y = r*sin α = 8*sin 45 = 5.66

If the crater is at position (x, y) then the vent would be translated at position (x + 5.66, y + 5.66)

Final answer:

The new vent's position relative to the crater, with the helicopter circling at an 8 km radius, is described by polar coordinates as (8 km, 45°) east of due north. This grants a clear visualization of the vent's specific location in relation to the volcano's crater, emphasizing its displacement and direction.

Explanation:

The position of the new vent relative to the crater, given that the helicopter is circling at an 8 km radius around the volcano's crater and that the new vent is located 45° east of due north from the crater, can be described using polar coordinates (r, θ) where r is the radius and θ is the angle from a reference direction. In this case, the reference direction is due north, and the angle is measured towards the east, meaning that the position of the new vent can be represented as (8 km, 45°). This means the vent is 8 km away from the crater at an angle of 45° east of due north. To visualize this, imagine the crater at the center of a circle, with the helicopter moving along the boundary of this circle. The new vent is located on the circumference of this circle, such that if you draw a line from the center (crater) to the vent, this line makes a 45° angle with the northward direction.

Answer:

120

Step-by-step explanation:

I am taking the test rn

If area of the path is 120 square feet then 120 pavers will she need to cover the path

The area of Rectangle is length times of width.

Given that Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram.

The area of the path is 120 square feet.

A parallelogram has a base of 2 feet and height of 0.5 feet.

Area of parallelogram 2×0.5

which is 1 square feet

Now let us find the number of pavers  she need to cover the path

120×1

120

Hence, if area of the path is 120 square feet then 120 pavers will she need to cover the path

To learn more on Areas click:

https://brainly.com/question/20693059

#SPJ3

Answer:

p=2

Step-by-step explanation:

9(p - 4) = -18

Divide each side by 9

9/9(p - 4) = -18/9

p-4 = -2

Add 4 to each side

p-4+4 = -2+4

p = 2

Each bottle of shampoo contains 10.5 ounces. The formula for the total volume of shampoo (y) in terms of the number of bottles (x) is y = 10.5x.

Let's denote the amount of shampoo in each bottle as b (in ounces). Since there are 12 bottles of shampoo, the total volume of shampoo in ounces (y) is given by the product of the number of bottles (x) and the amount in each bottle (b). So, the equation is:

y = x * b

The problem states that the case of 12 bottles holds a total of 126 ounces. This can be expressed as:

126 = 12 * b

Now, we can solve for b by dividing both sides of the equation by 12:

b = 126 / 12

Simplifying:

b = 10.5

So, each bottle of shampoo contains 10.5 ounces.

Therefore, the formula for the total volume of shampoo (y) in terms of the number of bottles (x) is:

y = 10.5x

Answer:

Step-by-step explanation:

it is A

Answer: Feet

Step-by-step explanation:

Well, Katie can use whatever unit of measure she prefers. However, in this case she must take into account the measuring instrument that she is going to use and the unit of measurement that is generally used or according to the established rules.

On the other hand, a softball field has an average area of ​​[tex]225 ft^{2}[/tex], which is quite a lot. Therefore Katie needs to use a convenient unit of measure (let's assume she uses a measuring tape, which gives her the option to measure in feet or inches) to quickly measure the distance between the pitcher mound and home plate.

So, if we have to choose between feet and inches, we must consider the following:

[tex]1 ft=12 in[/tex]

This means [tex]ft[/tex] as a unit of distance is greater than [tex]in[/tex]. Hence, Katie should use feet instead of inches.

In addition, according to the Softball rules, generally the dimensions are given in feet. So, it is better for Katie to use feet to measure the distance from Pitchers Mound to Home Plate.

I think I would be 30% maybe... I could be wrong

Answer:

27%

Step-by-step explanation:

First get the decrease

Decrease = $23500 - $17155

= $6345

Percentage decrease = decrease/initial price x 100%

That’s

$6345/$23500 x 100%

0.27 x 100%

27%

The percentage decrease in the price of the car is 27%

Answer:

x≤5

Step-by-step explanation:

-2+x≤3

Add 2 to each side

-2+2+x≤3+2

x≤5

Answer:

5/12

Step-by-step explanation:

Let the unknown number of sugar requires by 1/2 recipe be x

1 recipe requires 5/6 cup of sugar

1/2 recipe requires x cup of sugar

Cross multiply

x=1/2×5/6

x=5/12

So the amount of sugar requires to make 1/2 recipe is 5/12

Answer:

i think disagree ._.

Answer:

A

Step-by-step explanation:

L.C.M. fo 3,2,3=6

multiply by 6

4x-3=2+5x

4x-5x=2+3

-x=5

x=-5

Answer:

x=-5

Step-by-step explanation:

link attached with answer

hope this helps :)

Answer:

Answer is below

Step-by-step explanation:

<-----|---------------|-----------|------->

     -3/2            0            1/4

Answer:

The answer is 56 cm2

Step-by-step explanation:

You have to multiply the height times the base then divide that answer by two.

8x14= 112

112/2= 56

Answer:

Step-by-step explanation: Area = 1/2 b.h

= 1/2 8cm.14cm

= 1/2 112 Square cm

= 112/2

= 56 Square cm.

Answer:

5n

Step-by-step explanation:

The result of n x 5 is equal to 5 times the value of n.

The equation 'n x 5' represents the product of a number n and 5. The result can be positive or negative based on the value and sign of n. Also, parenthesis placement in expressions greatly affects the outcome due to the order of operations.

Understanding the Multiplication of Numbers and Order of Operations

The equation n x 5 indicates that a number n is being multiplied by 5. The results of this product will depend on the value of n and whether n is positive, negative, or zero. For example, if n is positive, like 2, then the product is also positive: 2 x 5 = 10. If n is negative, like -3, the result is negative: (-3) x 5 = -15. It's important to remember that when two positive numbers multiply, the answer has a positive sign, and when two negative numbers multiply, the result is also positive. However, if the two numbers have opposite signs, the answer will have a negative sign.

Furthermore, the placement of parentheses can affect the result of mathematical expressions. For instance, 2 + (3 x 5) is not the same as (2 + 3) x 5 due to the order of operations. In the first expression, multiplication is performed first, resulting in 17, whereas the second expression results in 25.

Understanding the rules of multiplication, including the signs of the numbers involved and the order of operations, is essential for solving equations and expressions correctly.

Answer:

We need to find the area of the semicircles + the area of the square.

The area of a square is equal to the square of the lenght of one side.

As = L^2 = 58m^2 = 3,364 m^2

Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:

Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2

And the area of a semicircle is half of that, so the area of each semicircle is:

a =  (2,289.06m^2)/2 = 1,144.53m^2

And we have 4 of those, so the total area of the semicircles is:

4*a = 4* 1,144.53m^2 = 4578.12m^2

Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2

This is nothing like the provided anwer of Val, so the numbers of val may be wrong.

Answer:

The answer is 4,112.00 m

Step-by-step explanation:

Val subtracted the​ square's area from area of the semicircles when it should be added to it.

Answer:

The diagonal length of the square equals:

diagonal ^ 2 = 7^2 + 7^2

diagonal ^ 2 = 49 + 49

diagonal ^ 2 = 98

diagonal = 9.899 cm

The diagonal is smaller than the circle's diameter and so it will ft inside the circle.

Step-by-step explanation:

Answer:

They both contain circles or its either they both are nets.

Step-by-step explanation:

Answer:

A positive correlation on a scatter plot would show the points  closer tog.ether heading in an upward direction

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If x=2 and y=4

7•4 - 3•2

28-6

So the answer is 22

Answer:

In (3x)^2, you are squaring both the 3 and the x:

9x^2

in 3x^2, you are squaring just the x:

3x^2

Answer:

(3x)^2=9x^2

(3x^2)=3x^2

Step-by-step explanation:

The difference between the two is that

(3x)^2 means the square applied to both the 3 and the x to give 9x^2

But on the other side

(3x^2) means that the square only applies to x without involving 3 which gives 3x^2

So there is difference between them

Answer:

A=6

Total base area is 12

A=96

Total surface area is 108

Answer:

Step-by-step explanation:

A=6

There are two bases, so total base area is 12

A= 96

The total surface area is 108

The area in square millimeters of the triangle outlined on the origami figure is 441 square millimeters.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle = 1/2 × b × h

Where:

Conversion:

7 cm to mm = 7 × 10

7 cm to mm = 70 mm.

1.26 cm to mm = 1.26 × 10

1.26 cm to mm = 12.6

By substituting the given side lengths into the formula for the area of a triangle, we have the following;

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 70 × 12.6

Area of triangle = 35 × 12.6

Area of triangle = 441 square millimeters.

Answer:

13

Step-by-step explanation:

If they are equal to each other, than angle DF is the same as angle AC, and angle AC is 13, so DF must be 13

Answer: The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the rectangular area occupied by the truck, by multiplying its dimensions:

Area = length x width

11.7 ft x 6.1 ft = 71.37 ft2

Now, we have to compare it with the available parking space:

150 > 71.3

The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.

Given:

Height of cylinder = 6 inches

Volume of cylinder = 60π in³

To find:

The area of the cross section.

Solution:

Volume of cylinder:

[tex]V=\pi r^2h[/tex]

[tex]\pi r^2h=60\pi[/tex]

Cancel the common factor π on both sides.

[tex]r^2h=60[/tex]

Substitute h = 6.

[tex]r^2\times 6=60[/tex]

Divide by 6 on both sides, we get

[tex]r^2=10[/tex]

Taking square root on both sides.

[tex]r=\sqrt{10}[/tex] inch

Area of cross section = [tex]\pi r^2[/tex]

                                   [tex]=\pi (\sqrt{10} )^2[/tex]    

                                   [tex]=10 \pi[/tex] in²

The area of the cross section is 10π in².

Answer:

yes it is the answer is 15696