The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle in inches, which equation can be used to find its value? x + 6 + 2x = 28 6x + 6x + x + x = 28 2(x + 6) = 28 2(x + 6) + 2x = 28

Answer:

Dive by n square root two, also option one.

Step-by-step explanation:

The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.

Hoped that helped :)

Final answer:

Quadrilaterals that can have two sides of length 7 cm and two of length 4 cm are a rectangle and a parallelogram; a square cannot, and a trapezoid is not certain.

Explanation:

The type of quadrilaterals that can be drawn with two sides of length 7 cm and two sides of length 4 cm are a rectangle and a parallelogram. A square cannot have sides of different lengths, so it wouldn't fit the requirement. A trapezoid could possibly have these side lengths, but only if the non-parallel sides are of different lengths, which isn't stated in the question.

The reason for choosing a rectangle is because it has four right angles and the opposite sides are equal, allowing for two sides to be 7 cm and the other two to be 4 cm. A parallelogram can also have sides of these lengths as long as the opposite sides are equal, and the angles are not restricted to 90 degrees like in a rectangle.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

1) Hello :

let  A(-2,3)    B(4,-5)

the slope is :   (YB - YA)/(XB -XA)

(-5-3)/(4+2)  =  -8/6 =-4/3

2) Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :

m=0      x_1=4        y_1=6

an equation for this line is : y-6 =0(x-4)

so : y=6  

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.

In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.

∠RST + ∠TSU = 90° (Complementary angles)

So, we say that the option "A" is the correct answer.

The correct statement is Option A) m∠RST + m∠TSU = 90°

To determine which statement is true for two complementary angles ∠RST and ∠TSU, we need to understand the definition of complementary angles in geometry.

Complementary angles are two angles whose measures add up to 90 degrees. Therefore, the correct option is:

A) m∠RST + m∠TSU = 90°

This is because, by definition, if two angles are complementary, their measures always sum up to 90 degrees. For instance, if m∠RST is 30 degrees, then m∠TSU must be 60 degrees so that their sum is 90 degrees.

Answer:

The answer is eight.

All you have to do is graph the points and count how many boxes are inside the points.

Answer:

The Answer is 8.

Step-by-step explanation:

When you graph the plots on a graph you might look at the graph and say this looks complicated but if you count the boxes in the shape, you will get your answer as 8 square units.

Answer:

The correct option is;

E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender

Step-by-step explanation:

The question states that Aaliyah randomly selects the following;

First sample

Sample gender = Males

Sample size = 35

Age bracket of sample = 20 to 30 years

Second sample

Sample gender = Females

Sample size = 45

Age bracket of sample = 45 to 55 years

The plan is to determine how age and gender are related to movie genre preference

Appropriate sample distribution to determine movie genre preference is as follows;

Gender = Male

Age bracket = 20 to 55 years

Gender = Female

Age bracket = 20 to 55 years

Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Answer:

E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Step-by-step explanation:

Answer:

(C)

Step-by-step explanation:

I solved it by graphing.

[see picture]

Answer:

2137 kg

Step-by-step explanation:

The number of fish the fisherman harvest in the first five days is

512 kg.

Given,

A fisherman harvested 350 kg of fish on Monday.

From Monday to Friday, the amount of fishes, be harvested increased by

10% per day.

We need to find the total amount of fish the fisherman harvest in the

first five days.

Round your answer to the nearest whole number.

We multiply the required percentage with the given amount.

Example:

10% of 500 = 10/100 x 500 = 10 x 5 = 50

We have,

Each day 10% increases.

Monday:

350 kg of fishes

Tuesday:

350 x 10%

= 350 x 10/100

=350 x 1/10

= 35

The number of fishes:

= 350 + 35

= 385 kg

Wednesday:

385 x 10%

= 385 x 1/10

= 38.5

The number of fishes:

= 385 + 38.5

= 423.5 kg

Thursday:

423.5 x 10%

= 423.5 x 1/10

= 42.35

The number of fishes:

= 423.5 + 42.35

= 465.85 kg

Friday:

465.85 x 10%

= 465.85 x 1/10

= 46.585

The number of fishes:

= 465.85 + 46.585

= 512.435 kg

Rounding to the nearest whole number we get,

= 512 kg

Thus the number of fish the fisherman harvest in the first five days is

512 kg.

Learn more about how to find the amount of fish caught on Monday here:

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Answer:

62.5 would go 5 lines out and 23.35 would go in the middle of the third and fourth line

Step-by-step explanation:

Answer: A / D / E

Step-by-step explanation:

You know that because you have an angle that measures 90 degrees I’m each. You can also make the 90 degree box at the corner.

Answer:

x = 9

Step-by-step explanation:

2/3x +5 = -2/6x +14

Simplify

2/3x +5 = -1/3x +14

Add 1/3x to each side

2/3x + 1/3x +5 = -1/3x +1/3x +14

3/3x +5 = 14

x+5 = 14

Subtract 5 from each side

x+5-5=14-5

x = 9

Answer:

b=-3

Step-by-step explanation:

Let's solve your equation step-by-step.

−11b+7=40

Step 1: Subtract 7 from both sides.

−11b+7−7=40−7

−11b=33

Step 2: Divide both sides by -11.

−11b /−11 = 33 /−11

b=−3

Answer:

The correct answer is b=(-3)

Step-by-step explanation:

First you subtract 7 from both sides and you willl get -11b=33. Then you divide both sides by -11 and you will get b=33/-11. Then you simplifty your answer and you will get b=(-3).

                              ^^Hope this helps!^^

Answer:

what is the equation?

Step-by-step explanation:

Hi.

This is a geometric sequence with the rational of the sequence  : 1.75

If you start with  1,

Then  U0 = 1

and U24 = 1*1.75^24≈ 680 634

Answer:

0.524

Step-by-step explanation:

The probability that the chosen student is a male is 0.524 .

Given,

Number of male students who participated in sports = 110

Number of female students who participated in sports = 100

Number of male students who did not participated in sports = 180

Number of female students who did not participated in sports = 210

Now,

The probability that the male students is chosen will be given by,

P(MALE) = 110/210

P(MALE) = 55/105

P(MALE) = 11/21

P(MALE) = 0.524

Thus the probability of chosing a male student who participates in the sport is 0.524 .

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Answer:

8.43

Step-by-step explanation:

8 + 10 + 10 + 10 + 6 + 7 + 8 = 59

59/7 = 8.43 (or keep as improper fraction)

Answer: [tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]

Step-by-step explanation:

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

[tex]-5x^3y^3+8x^4y^2+(-xy^5-6xy^5)+(-2x^2y^4+3x^2y^4)+8x^6[/tex]

[tex]-5x^3y^3+8x^4y^2+(-7xy^5)+(x^2y^4)+8x^6[/tex]

[tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]

Answer:

D. 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

Step-by-step explanation:

Answer:

Equilateral triangles, squares and regular hexagons are the only regular polygons  that will tessellate. Therefore, there are only three regular tessellations.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Add 8 to both sides.

2x−8+8<12+8

2x<20

Step 2: Divide both sides by 2.

2x/2<20/2

x<10

Answer:

Step-by-step explanation:

It is not valid because not all segments that fit the description are diameters.

Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center.

Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center. In other words, any line segment that connects two points on the circle and passes through the center can be considered a diameter.

For example, if you have a circle with a radius of 5 units, any line segment that connects two points on the circle and measures 10 units in length will be a diameter.

Keywords: diameter, circle, line segment, center

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Answer:

C)

Step-by-step explanation:

Given: Base edge of square pyramid a= 48 cm

Slant height square pyramid l =26 cm

Let h be the height of the right pyramid

Thus,

The volume of square pyramid

Thus C is the right option.The volume of square pyramid=

hope this helped plz let me know :)

Answer: C

Step-by-step explanation:

Alright, first let’s review what compound interest is. Instead of simple interest which pays interest on the principal, it pays interest on the amount in the bank each year, so it basically pays interest on the principal with previous interest. Lets run this example through the years:

Year 1:

= $1800 + 5% (Of 1800)

= $1800 + $90

= $1890

Year 2:

= $1890 + 5% (of 1890)

= $1890 + $94.5

= $1984.50

Year 3:

= $1984.50 + 5% (of 1984.50)

= $1984.50 + $99.23 (I rounded it to the nearest hundredth from its original state, $99.225)

= $2083.73

Year 4:

= $2083.73 + 5% (of 2083.725)

= $2083.73+ $104.19 (I rounded it to the nearest hundredth from its original state, $104.1865)

= $2187.92

Year 5:

= $2187.92 + 5% (of $2187.92)

= $2187.92 + $109.40 (rounded to the nearest hundredth from 109.396)

= $2297.32

This is as close as you can get to answer C, it’s just off one cent because of all the rounding!

Answer:

i can assure you that it is B: 267

Step-by-step explanation:

edge 2020

Answer:

B) 267 in.

Step-by-step explanation:

Answer:

Each student gets 575 gram of clay

Step-by-step explanation:

1 kg  = 1000 g

Mass of the total clay = 6.9 kg = 6.9 * 1000 = 6900.0 = 6900 g

Clay received by each student = Total / Number of students

                = 6900 / 12

                = 575 g

The answer would be B)

Answer: B

Step-by-step explanation: Jane put $600 in a college fund and over the next year she got $890. You don't know how much money she added to the fund (x is added dollars) so 600+x=890.

Answer:

B. 12m + 6

Step-by-step explanation:

Just distribute the 3 to both 4m and 2.

Answer:

B. 12m + 6

Step-by-step explanation:

Because there is a three, we must do three times both of the terms:

(3 x 4m) + (3 x 2)

When you do it, we get:

12m + 6

We cannot simplify it any further, so 12m + 6 is out final answer.

Hope this helped :]

Answer:

B;$573.83 crazy.

Using the compound interest principle, the best loan would be that with the lower return value, Hence, the best option is the option B. The amount saved by going for option B is $90.81

Using the compound interest formula :

Option A :

[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]

[tex] A = 2000(1 + \frac{0.085}{4})^{4 \times 6} [/tex]

[tex] A = 2000(1 + \frac{0.085}{4})^{24} [/tex]

[tex] A = 2000(1 + 0.00708)^24[/tex]

[tex] A = 2000(1.6564) = 3312.83 [/tex]

Option B :

[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]

[tex] A = 2000(1 + \frac{0.10}{1})^{1 \times 5} [/tex]

[tex] A = 2000(1 + 0.10)^{5} [/tex]

[tex] A = 2000(1 + 0.00708)^5[/tex]

[tex] A = 2000(1.61051) = 3257.79 [/tex]

Difference = 3312. 83 - 3221.02 = $90.81

The better loan would be option B ; as it is cheaper.

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Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

Answer:

Answer is D

500 times, lets divide that by 100. So... 3 out of 5 times is 60%

Step-by-step explanation: