Joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is the with, in meters, of the rug? Answer in fraction pls!!

The answers are shown below:

On the other hand, In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.

Quadrilaterals are polygons that have four sides. The sum of the interior angles of a quadrilateral is 360 degrees. Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same( the fourth angles automatically become the same as the interior angle sum is 360 degrees), and two adjacent sides have equal ratios.

1. scale factor= 4 units

1.  perimeter of rectangle JKLM is 48 units

2. Area= 8

4. same

5. square

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Answer:

The answer is 43 degrees (plz mark branliest)

Step-by-step explanation:

All triangles must add up to 180 degrees

We have two other angles that are 92 and 45 degrees

If we subtract both of these measurements from 180 we will find x

92 + 45 = 137

180 - 137 = 43 degrees

Hope This Helps!

The length of line segment LN is 6 units.

To determine the length of line segment LN, we can use the segment addition postulate, which states that if you have three collinear points A, B, and C, and point B is between A and C, then AB + BC = AC.

In this case, point M is between L and N. We're given that MN = 2 and LM = 4. So, we can set up the equation:

LM + MN = LN

Substitute the given values:

4 + 2 = LN

Now, calculate the sum:

6 = LN

So, the length of line segment LN is 6 units.

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Answer:

The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.

Step-by-step explanation: I just did the assignment

To solve such problems we need to know about supplementary angles.

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

The exterior angle to ∠C is ∠D, which is the supplementary angle to ∠c and also, to the sum of ∠A and ∠B.

Given information:

A triangle has angles A, B, C. The exterior angle to angle C is angle D.

We know,

Supplementary angles are those two angles whose sum measures up to 180°.

These angles are when adjacent to each other, they form a straight line.

∠C and ∠D form a line BE.

therefore, the ∠C and ∠D are supplementary angles for each other, and

∠C + ∠D = 180°.

∠C = 180° - ∠D

Also, we know that the sum of all angles of a triangle is 180°.

So, ∠A + ∠B + ∠C = 180°

Substituting the value of ∠C,

∠A + ∠B + (180° - ∠D) = 180°

Canceling 180° from both sides,

∠A + ∠B + 180° - ∠D = 180°

∠A + ∠B - ∠D = 0

∠A + ∠B = ∠D

Hence, the exterior angle to ∠C is ∠D, which is the supplementary angle to ∠c and also, to the sum of ∠A and ∠B.

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Answer:

Step-by-step explanation:11580

Answer:

11580 notebooks

Step-by-step explanation:

3860/4=965 notebooks per day

965x12=11580 notebooks in 12 days

Answer:

Yes I agree, because 32 times 8 plus 48 times 8 equals 8x(32+48)

Step-by-step explanation:

answer:(x,y)=(5,3)

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.plz mark as brainliest

Final answer:

The solution to the system of linear equations x + y = 8 and 3x + 2y = 21 is found using the elimination method, resulting in x = 5 and y = 3.

Explanation:

To solve the given system of equations:
x + y = 8
3x + 2y = 21
we can use either substitution or elimination method. For this instance, let's use the elimination method.

Multiply the first equation by 2 to match the coefficient of y in the second equation:

2(x + y) = 2(8)
2x + 2y = 16

Now, we have:

2x + 2y = 16

3x + 2y = 21

Subtract the second equation from the first:

(2x + 2y) - (3x + 2y) = 16 - 21
-x = -5
x = 5

Now that we have x, we can plug it back into the first equation:

x + y = 8
5 + y = 8
y = 8 - 5
y = 3

The solution to the system of equations is x = 5 and y = 3.

Answer: A=2(wl+hl+hw)

Step-by-step explanation:

W=15 L=5 H=4

A= 2((15*5)+(4*5)+(4*15))

A= 310

The surface area of a rectangular prism with dimensions 15in by 5in by 4in is calculated using the formula 2lw + 2lh + 2wh, resulting in a surface area of 310 square inches.

The question asks: What is the surface area of the rectangular prism with dimensions 15in, 5in, 4in?

To find the surface area of a rectangular prism, we use the formula: Surface Area = 2lw + 2lh + 2wh, where l represents length, w represents width, and h represents height.

Using the given dimensions:

Length (l) = 15in

Width (w) = 5in

Height (h) = 4in

We calculate the surface area as follows:

Surface Area = 2(15)(5) + 2(15)(4) + 2(5)(4)

Surface Area = 150 + 120 + 40

Surface Area = 310 square inches

Therefore, the surface area of the rectangular prism is 310 square inches.

Answer:

49/54

Step-by-step explanation:

Answer:Look below

Step-by-step explanation:

f(x) = x^3

g(x) = f(x-4) which shifts f(x) 4 units to the right

g(x) = (x-4)^3

h(x) = g(x) + 6 shift g(x) 6 units up

h(x) = (x-4)^3 + 6

The turning point of f(x) is at (0,0),  then shift  4 units to the right and 6 units up, I got (4,6)

Answer:

2 times 8 is 16. 16 minus 4 is 12 plus 5 is 17. answer is 17.

Step-by-step explanation:

since h=8

The steps of the value of the expression:

2(8)-4+5

16-4+5

12+5

17

Answer:

57.1 milometer square

Step-by-step explanation:

The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.

The volume is a measure of how much a figure can hold and is measured in cubic units. The volume tells us something about the capacity of a figure.

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. There are both rectangular and triangular prisms.

Answer : (a+b+c)h=

(4+4+5.7)3=41.1

Answer is 41.1

Answer:

6

Step-by-step explanation:

Label them as variables

A, B, and C

Now try and list them

ABC

ACB

BAC

BCA

CAB

CBA

There should be 6

The more mathematical way is using factorials

So you would do 3! which is 3*2*1

This also gives you 6

Step-by-step explanation:

I kind of forgot but it should be 6

3!=6

for the first event there are three choices, then 2, then 1. You them multiply them all.

Im sorry if this made no sense lol, i will delete if people in the comments want to give a better explanation.

Answer:

20

Step-by-step explanation:

You're trying to find the hypotenuse. To do that you have to square 16 and 12. That gets you 256 and 144. You then have to add the 2 numbers. That gets you 400. Finally square root 400 to get 20.

Answer:52%

Step-by-step explanation:1.3x100=130% 0.4x100=40%

130%x40%=52% or 1.3x0.4=0.52 / 0.52x100=52%

Answer:

+180

Step-by-step explanation:

The slope of a mountain road with a 10-foot rise for a 494-foot run is found by dividing the rise by the run, resulting in a slope of approximately 0.0202 or 1/49.4, which is a dimensionless ratio.

The student's question involves finding the slope of a mountain road, which is a concept in mathematics. Slope is calculated as 'rise over run', where the 'rise' refers to the change in height and the 'run' refers to the horizontal distance covered. In this instance, the rise is 10 feet and the run is 494 feet.

To calculate the slope of the mountain road, you divide the rise by the run:

Slope = Rise ÷ Run

We substitute the given values:

Slope = 10 ft ÷ 494 ft

The slope is therefore equal to approximately 0.0202 or 1/49.4. In mathematics, slope is dimensionless; it is just the ratio of the rise to the run and does not carry any units.

Answer:

The height is actually 5.5 Meters

Step-by-step explanation:

its simple division. Just divide 18.15÷3.3

The tree is 18.15 feet and your changing feet to meters.

It gives you the conversion.

1 meter is 3.3 Feet

Final answer:

To convert the height of the tree from feet to meters, divide the height in feet by the conversion factor of feet to meters (1meter= 3.3 feet). For this specific case, the tree is 18.15 feet tall, which is equivalent to 5.5 meters.

Explanation:

To convert the height of the tree from feet to meters:

Given: Tree height = 18.15 feet, Conversion factor: 1 meter = 3.3 feet

Calculate: Height in meters = 18.15 feet / 3.3 feet/meter

Height in meters = 5.5 meters

Answer:

x² - 9

Step-by-step explanation:

A difference of squares has the form

a² - b²

Thus

x² - 9

= x² - 3² ← is a difference of squares

Answer:

area of a circle = 1808.64meters²

Step-by-step explanation:

given that ,

π = 3.14

circumference = 150.72meters

calculate the area of the circle.

to calculate the circumference of a circle

recall,

circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x r

circumference of a circle =  6.28r

150.72meteras = 6.28r

divide both sides by 6.26

150.72meters/6.28 = 6.28r/6.28

24meters = radius

radius = 24 meters

now to calculate the area of the circle

recall the formulae for finding the area of a circle is given to be = πr²

area of a circle = πr²

area of a circle = 3.14 x ( 24)²

area of a circle = 3.14 x 576meters²

area of a circle = 1808.64meters²

Answer:

B-$ 16.89

Step-by-step explanation:

when the cups of flour increase from 5 to 15, the cups of sugar also increase from 10 to 30, maintaining the constant ratio of 1 : 2.

To find the number of cups of sugar needed when 15 cups of flour are used, let's first determine the constant ratio between cups of flour and cups of sugar.

Given:

- 5 cups of flour are mixed with 10 cups of sugar.

We can set up a ratio:

[tex]\[ \text{Cups of flour} : \text{Cups of sugar} = 5 : 10 \][/tex]

Now, let's simplify this ratio by dividing both parts by their greatest common divisor, which is 5:

[tex]\[ \frac{5}{5} : \frac{10}{5} = 1 : 2 \][/tex]

So, the constant ratio between cups of flour and cups of sugar is 1 : 2.

Now, to find out how many cups of sugar should be used if 15 cups of flour are used, we can use the constant ratio.

[tex]\[ \text{Cups of flour} : \text{Cups of sugar} = 15 : x \][/tex]

Since the ratio is constant, we can use the ratio 1 : 2 to set up a proportion:

[tex]\[ \frac{15}{1} = \frac{x}{2} \][/tex]

Now, let's solve for (x):

[tex]\[ 15 \times 2 = x \times 1 \]\[ 30 = x \][/tex]

So, if 15 cups of flour are used, we will need 30 cups of sugar.

We can also verify this using the constant ratio table:

Cups of flour  Cups of sugar

5                       10

15                      30

As we can see, when the cups of flour increase from 5 to 15, the cups of sugar also increase from 10 to 30, maintaining the constant ratio of 1 : 2.

The probable question maybe:

For a given recipe, 5 cups of flour are mixed with 10 cups of sugar. How many cups of sugar should be used if 15 cups of flour are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.

Answer:

  0.35 ft

Step-by-step explanation:

We assume that the lawnmower is mowing a spiral around the pole and that each turn increases the radius by 2.2 feet. That is, each turn around the pole captures (or releases) 2.2 feet of rope, so that is the circumference of the pole.

  C = 2πr

  2.2 ft = 2(22/7) r

  (2.2 ft)(7/44) = r = 0.35 ft

The radius of the pole needs to be about 0.35 feet, or 4.2 inches.

_____

We assume that the lawnmower width is a multiple of 22 because we are intended to use 22/7 as our approximation of pi. A more accurate value of pi would give a radius of 0.35014 feet, about 4.202 inches.

Answer:The probability is 0.14 or 14%

Step-by-step explanation:

Please give me brainliest,this is correct

Answer:

Answer:The probability is 0.14 or 14%

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

If she burns 15 per minute, the she will burn 30 in 2 min and 45 in 3 min, etc. Therefore it is proportional.

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

[tex]V=l\times b\times h[/tex]

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

[tex]V_1=kl\times kb\times kh[/tex]

[tex]V_1=k^3(l\times b\times h)[/tex]

[tex]V_1=k^3V[/tex]       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

[tex]V_1=2^3(1800)[/tex]

[tex]V_1=14400[/tex]

Therefore, the volume of required sink is 14400 cubic inches.

Answer:

The volume is 14,000

Step-by-step explanation:

v= 2 to the power of 3 times 1800

so 8 x 1800=14,400

Hope this helps!!

Answer:

280

Step-by-step explanation:

Answer:

Common Ratio = 2

Step-by-step explanation:

Emily started with 12 lb at start.

She will double each day

So,

2nd day she will take up weight = 12 * 2 = 24

3rd day she will take up weight = 24 * 2 = 48

and so on

This is a geometric sequence, which is a sequence where each term is found by multiplying the previous term by a constant which is known as the common ratio.

Here, we are multiplying by "2" to get the next term, so we an say the common ratio is "2".

Answer: Common Ratio = 2

Answer:

The rate is [tex]\frac{2}{5}[/tex] degree per hour.

Step-by-step explanation:

Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose [tex]\frac{1}{10}[/tex] degree every [tex]\frac{1}{4}[/tex] hour for a limited time.

To find : What was the rate, in degrees per hour that the temperature of the compound rose ?

Solution :

In every [tex]\frac{1}{4}[/tex] hour the temperature of a compound rose [tex]\frac{1}{10}[/tex] degree

To get  the rate, in degrees per hour,

In every 1 hour the temperature of a compound rose is

[tex]r=\dfrac{\frac{1}{10}}{\frac{1}{4}}[/tex] degree

[tex]r=\dfrac{4}{10}[/tex] degree/hr

[tex]r=\dfrac{2}{5}[/tex] degree/hr

Therefore, the rate is [tex]\frac{2}{5}[/tex] degree per hour.