A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches.

A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches.

The resulting parallelogram has a base of approximately 9.22 inches.

Complete the following steps to calculate the altitude of the parallelogram using area methods.

The area of the sheet of paper is
square inches.

The combined area of the triangle cutouts is
square inches.

The area of the parallelogram is
square inches.

The altitude of the parallelogram rounded to two decimals is
square inches.

Answer:

Direct Variation:

Inverse Variation:

1. The bank balance is inversely proportional to expenditures.

2. The number of family members (which not work) are inversely proportional to amount of saving.

3.The working days required to complete the work are inversely proportional to number of labors.

4. The velocity of body is inversely proportional to time.

5. The acceleration is inversely proportional to time.

6.  The acceleration of body is inversely proportional to mass of body.

7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.

8. The battery power is inversely proportional to time for which it used.

9. The ability of do work hard is inversely proportional to age of man after youngness to onward.

10.  The number of mistake in work is inversely proportional to practice.

Explanation:

Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.

Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.

Answer:

Step-by-step explanation:

Kamille is wrong, because:

or

She needs about 8 inches ribbon not 60 inches

Answer:

Step-by-step explanation:

The direct distance there (without the island in the way) is found using the Pythagorean Theorem

c^2 = a^2 + b^2

a = 8.4

b = 11.5

c = ?

c^2 = 8.4^2 + 11.5^2              Square the length of the legs.

c^2 = 70.56 + 132.25            Combine  

c^2 = 202.81                          Take the square root.

c = 14.24

But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles

So the additional distance = 19.9 - 14.24 = 5.66 miles.

Answer:

y=2x-1

Step-by-step explanation:

up 2 right 1 for slope

y intercept is -1

Answer:

[tex] \boxed{(b) \: y = 2x - 1}[/tex]

Step-by-step explanation:

( 2,3 ) and ( 0, -1)

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2[/tex]

Gradient is 2

y - y1 = m ( x - x1 )

y - 3 = 2 ( x - 2 )

y - 3 = 2x - 4

y = 2x - 4 + 3

[tex] \boxed{y = 2x - 1}[/tex]

Answer:

Step-by-step explanation:

m=26 when u as u go as down as {{6-2} -13

Answer:

2

Step-by-step explanation:

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

m = y2 - y1 / x2 - x1

Where

m — slope

If the 2 Points are Known:

Slope (m) = ΔY/ΔX

= 7-(-1) / 3-(-1)

= 8/4

= 2/1

= 2

θ = arctan (ΔY/ΔX)

= tan¯¹(8/4)

= 63.434948822922°

ΔX = 3 – (-1) = 4

ΔY = 7 – (-1) = 8

Distance (d) = √ΔX2 + ΔY2 = √80

= 8.9442719099992

Equation of the line:

y = 2x + 1

When x=0, y = 1

When y=0, x = -0.5

Answer:

you must be so stiupid that you have to use answers ff a website to cheat for school

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

325( Three digit number)

No zero

5-3=2

3+2+5=10

The house number if the house number is a three-digit number, it is a multiple of 5. There are no zeros in this number, is 235.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

A house number is a three-digit number.it is a multiple of 5,

The number in the hundreds place is two less than the number in the one's place,

The sum of the digits is 10,

Write the equation as shown below,

x + y + z = 10

Here x is in one place y is in the tens place and z is in the hundred places,

The number will be = 100z + 10y + x

y = x - 2

As we know if the number is a multiple of 5 then its one's place is either 0 or 5 here no zeroes in the number,

x = 5,

y = 5 - 2 = 3

z = 10 - 3 - 5

z = 2

Thus, the number will be,

Room number = 100 × 2 + 10 × 3 + 5

Room number = 200 + 30 + 5

Room number = 235

To know more about equation:

https://brainly.com/question/12788590

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Answer:

1.  60%

2. 70

3. 8%

Step-by-step explanation:

I attached pictures to show my work (sorry if they’re a bit messy)!

Answer:

y = 2x - 11

                                               Explanation:

using the formula:

[tex]\boxed{y-y1= m(x-x1)}[/tex] .........where m is slope || y1 is y value || x1 is x value

y - -3 = 2( x - 4 )

y + 3 = 2(x -4)

y + 3 = 2x - 8

y = 2x - 8 - 3

y = 2x - 11

Answer:

11.7 - 12y

Step-by-step explanation:

1. Open parenthesis

3 - 4y - 8y + 8.7

2. Combine like terms

11.7 - 12y

The answer is 11.7 - 12y

Hope this helps :)

Have an awesome day!

Using the percentage concept, it is found that the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching on the internet, we find that:

Hence:

[tex]P = \frac{17.9}{15.2} \times 100\% = 117.76\%[/tex]

117.76% - 100% = 17.76%.

Hence the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

More can be learned about percentages at https://brainly.com/question/24372153

Step-by-step explanation:

It is possible to determine if a triangle contains a right angle using Pythagoras' theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Answer:

B) [tex]-38[/tex]

Step-by-step explanation:

[tex]\frac{4}{(-1.6+3.6)}+\frac{0.8(9+11)}{-0.4}\\\\=\frac{4}{2}+\frac{0.8(20)}{-0.4}\\\\=2+-2(20)\\\\=2-40\\\\=-38[/tex]

Answer:

480 Boy

Step-by-step explanation:

The ratio of Boys =  4x

The ratio of  Girls =  5x

The Number of Boys in the School = 4x + 5x = 1080

=         9x = 1080

=        x  = 1080/9

=         x  = 120

The ratio of Boys = 4x  = 4 x 120 = 480

The ratio of  Girls =  5x = 5 x 120 = 600

Hence, Number of Boys = 480

Ratio Boys to Girls = 480:600

[RevyBreeze]

Answer:

121

Step-by-step explanation:

(5-2)180

180-135-105-87-92=121

Answer:

$5

Step-by-step explanation:

20/4 = 5

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

Answer:

The choice B. 5°

Step-by-step explanation:

The angle in the figure is 90°

[tex]36 + (11x - 1) = 90 \\ 36 + 11x - 1 = 90 \\ 11x + 35 = 90 \\ 11x = 90 - 35 \\ 11x = 55 \\ \\ x = \frac{55}{11} \\ \\ x = 5[/tex]

Answer:

16,22

larger number=22

smaller number=16

Step-by-step explanation:

let 2x-10=larger number

let x=smaller number

x+2x-10=38

Simplify

3x-10=38

   +10  +10

Add 10 to both sides of the equation

3x=48

divide both sides by 3

x=16

First answer.

2x-10=22

2nd answer

Check your work:

16+22=38

It is correct.

Answer:

66 & -28

Step-by-step explanation:

x > y

x + y = 38

x = 10 - 2y

10 - 2y + y = 38

-y + 10 = 38

-y = 28

y = -28

x + (-28) = 38

x = 66

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

The given figure is composed of two figures triangle and circle. In which triangle is enclosed in the circle.

We know that,

Area of triangle

[tex]\bold{\red{ = }}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{\times{ Base }}}}{\bold{\red{\times{ height }}}}[/tex]

Here,

Subsitute the required values,

Area of the given triangle

[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{\times{ 10 }}}{\sf{\times{ 5 }}}[/tex]

[tex]\sf{ = 5 }{\sf{\times{ 5}}}[/tex]

[tex]\bold{ = 25\: units }[/tex]

Thus, The area of triangle is 25 units

We have to find the area of the circle

We know that,

Area of circle

[tex]\bold{\pink{ = }}{\bold{\pink{\pi{r^{2}}}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\pi{(5)^{2}}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{ 25}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{550}{7}}}[/tex]

[tex]\bold{ = 78.57\: units }[/tex]

Thus, The area of circle is 78.57 units

Area of shaded region

= Area of circle - Area of triangle

Subsitute the required values,

[tex]\sf{ = 78.57 - 25 }[/tex]

[tex]\bold{\green { = 53.57 \: units }}[/tex]

Hence, The area of shaded region is 53.57 units.

The area of the shaded figure is 13.375 square units.

The shaded region is a circle with a triangle inside of it removed.

To get the area, we need to get the area of the circle and remove the area of the triangle.

Remember that for a circle of radius R, the area:

A = 3.14*R^2

In this case, we can see that the diameter of the circle measures 5 units, then the radius (half of the diameter) measures 2.5 units.

A = 3.14*(2.5)^2 = 19.625 square units.

And a triangle of base B and height H has an area:

A' = B*H/2

In this case, the base of the triangle is equal to the diameter of the circle, and the height is equal to the radius of the circle, so we have:

B = 5 units.

H = 2.5 units.

Then:

A' =5*2.5/2 = 6.25 square units.

Then the shaded area is:

shaded area =  19.625 square units -  6.25 square units.

                     = 13.375 square units.

If you want to learn more about areas, you can read:

https://brainly.com/question/19819849

Solution:

To classify the system of equations as no solutions, the lines must be parallel (Not intersect).

First, let's identify the equation forming the line.

We also know that the slope of the equation must be -1.5.

A) 2x + 3y = 0

B) 2x + 3y = 6

C) 2x - 3y = 9

D) y = 3x + 2

Option B is correct.

Answer:

(1,3), (2,1

Step-by-step explanation:

Answer:

1. m = -3

2. m = 4

Step-by-step explanation:

1. m = -3

2. m = 4

slope intecept form is y = mx + b

Answer:

118

Step-by-step explanation:

LCM = 12×10 = 120

HCF = 12-10 = 2

Difference = 120-2 = 118

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I think 100 grams per box

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

Answer: 25°

Step-by-step explanation: Notice that in this figure, we are given two triangles and to find the value of x, we first need to find the missing angle measure in the big triangle.

Since all the interior angles of a triangle add up to 180 degrees, we know that the missing angle of the big triangle is 180° - 94° - 41° or 45°.

Now we know all the angles of the big triangle and we know two of the angles of the smaller triangle, so we can find the value of x.

The missing angle of the smaller triangle will be 180° - 110 - 45° or 25°

So we know that the missing angle is 25°.

Answer:

you need picture with it

Step-by-step explanation: