Factor the expression 20x + 12y - 28

Answer:

0.05

Step-by-step explanation:

- All zeros before any non-zero digit in decimal are non-significant.

-All zeros after any non-zero digit in decimal are significant.

Therefore, the answer is 0.05.

Hey there!

Easy word problem

Since there are 84 students total and their goal is to collect 16 cans

We multiply

=> 84 × 16 ⇒ 1,344

Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal

Answer:

18 mi^2

...

...

...

...

...

Answer:

  42 square miles

Step-by-step explanation:

The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.

The area of the triangle at the top of the figure is ...

  A = 1/2bh

  A = 1/2(6 mi)(3 mi) = 9 mi²

The area of the overall rectangle (including the space at lower right) is ...

  A = LW

  A = (9 mi)(5 mi) = 45 mi²

The area of the rectangle at lower right that is not included in the shaded area is ...

  A = LW

  A = (4 mi)(3 mi) = 12 mi²

The total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.

  total area = 9 mi² +45 mi² -12 mi² = 42 mi²

The area of the figure is 42 square miles.

_____

Additional comment

Other ways to divide the figure into two rectangles are ...

For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :

[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]

Which suits the B) option

Hence, Option B) is correct

Answer:

total no. of butterflies=11000

no.of butterflies=679

percentage of butterflies=?

Percentage of butterflies= (11000/679) percent..

= 16.20 percentage

therefore 16.20 percentage butterflies are in US

Answer:

multiplication, so d, 2 x 3

Step-by-step explanation:

remember... PEMDAS!!

Answer:

Here is the answer

Step-by-step explanation:

Interest=$580 x 6.5%

=580 x 6.5/100

=$37.70

$37.70= 37dollars and 70 cents

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a hexagonal prism = area of base * height

Hence:

Volume = 7.35 cm² * 4 cm = 29.4 cm³

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

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Answer:

The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^

Step-by-step explanation:

I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3

Answer:

2:1

Step-by-step explanation:

divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1

Answer:

Step-by-step explanation:

No choice is given but here is the general interpretation.

Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.

Given function

Now

Compare to slope intercept form y=mx+b

Here y intercept may be the fixed charge .

so point C would be on Quadrant I

T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.

Answer:

C. 7/20

Step-by-step explanation:

There are 20 arrival times on the table.

7 of those twenty are before 8:20.

p(before 8:20) = 7/20

Answer: C. 7/20

Answer:

30%

Step-by-step explanation:

So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)

9/30 = 0.3

Now we multiply the 0.3 by 100 to get it as a percent!

0.3 x 100 = 30%

Now you know how to find the probability of an object!

Have a great day!!

Please rate and mark brainliest!!

Explanation:

Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".

This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

John bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:

2x + 3y + 4z = 20.

Cindy bought 5 folders and 5 notebooks for a total of $25, hence:

5y + 5z = 25.

x + z = 5.

x = 5 - z.

Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:

3x + y + 2z = 11.

y = 11 - 3x - 2z

Replacing the second and the third equation on the first, we have that:

2x + 3y + 4z = 20.

2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.

10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.

2z + 3(11 - 15 + 3z - 2z) = 10

2z + 3(z - 4) = 10

5z = 22.

z = 4.4

x = 5 - z = 5 - 4.4 = 0.6

y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.

Hence:

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.

Step-by-step explanation: I just took the test.

The correct answer is the frostbite cases and sledding accidents were not randomly selected.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.

if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.

In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.

Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents

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Answer:

Volume = a.b.c = k^3  

Step-by-step explanation:

Volume = a * 22.5 * 12 = 4320

a = 16 inches

Answer:

add it all up

Step-by-step explanation:

Answer:

I think the file of the picture is corrupted because it is not loading

Step-by-step explanation:

Answer: A

Step-by-step explanation:

P

E

M

A

S

Answer:

A = 3x² - x - 10

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

   = 3x² - 6x + 5x - 10 ← collect like terms

   = 3x² - x - 10

Answer:

A = 3x² - x - 10

Step-by-step explanation:

A = length × width

A = (3x + 5)(x - 2)

A = 3x(x - 2) + 5(x - 2)

A = 3x² - 6x + 5x - 10

A = 3x² - x - 10

keeping in mind that in a rhombus all sides are equal, Check the picture below.

The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.

This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.

We have:

The length of the diagonals of the rhombus is 24 cm and 18 cm

As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.

So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.

a = 24/2 = 12 cm

b = 18/2 = 9 cm

From the Pythagoras theorem the length of the hypotenuse:

[tex]c = \sqrt{12^2+9^2}[/tex]

c = 15 cm

Now the perimeter will be:

The perimeter of the rhombus = 4(15) = 60 cm

Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

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Answer:

the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 1.645. My calculator is a little off though; see attached picture.

Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )

[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

Answer:

y-5=-2(x+4)

Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.

Answer:

0.6 x 0.1

Step-by-step explanation:

Answer:

66.6667

Step-by-step explanation:

100% correct mark brainliest

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Therefore, we have:

[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Thus, using these values, and the definition of the trigonometric ratios, we get:

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

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