The base of a parallelogram is (2x + 3) units and the corresponding height is (3x – 2) units. Find the area of the parallelogram in terms of x. What will be the area of parallelogram if x = 30 units?

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

Answer:

Step-by-step explanation:

4.  a) tan x=17/12=1.416

       x=54.8≈55

b)sin  b=78/132=0.59

  b=36.2≈36

cos 28=x/82

x=82*cos 28=82*0.9=73.8

Answer:

1. [tex]xy = 63[/tex]

2. [tex]y = 3[/tex]

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

[tex]y\ \alpha\ \frac{1}{x}[/tex]

Convert variation to equation

[tex]y\ = \frac{k}{x}[/tex] ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

[tex]7 = \frac{k}{9}[/tex]

Multiply both sides by 9

[tex]9 * 7 = 9 * \frac{k}{9}[/tex]

[tex]63 = k[/tex]

Substitute 63 for k in equation 1

[tex]y = \frac{63}{x}[/tex]

Multiply both sides by x

[tex]x * y = \frac{63}{x} * x[/tex]

[tex]xy = 63[/tex]

Hence, the equation connecting x and y is [tex]xy = 63[/tex]

Solving for when x = 21

Substitute 21 for x in the above equation

[tex]21 * y = 63[/tex]

Divide both sides by 21

[tex]\frac{21 * y}{21} = \frac{63}{21}[/tex]

[tex]y = 3[/tex]

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

Answer

4141

4141/4=1035.25

Answer:

5234

Step-by-step explanation:

The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.

We can model this relationship:

[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]

Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

Answer:

16 or 1. There are 2 different answers depending on how you take the question as.

Step-by-step explanation:

8÷2(2+2)=

8÷2(4)=

4(4)=

16

OR

8÷2(2+2)=

8÷2(4)=

8÷8=

1

Hey there! :)

Answer:

x = -7/12.

Step-by-step explanation:

Given:

[tex]x + \frac{5}{12} = -\frac{1}{6}[/tex]

Create a common denominator for each term:

[tex]\frac{12x}{12} + \frac{5}{12} = -\frac{2}{12}[/tex]

Disregard the denominator:

12x + 5 = -2

Subtract 5 from both sides:

12x = -7

Divide both sides by 12:

x = -7/12.

Answer:

1

Step-by-step explanation:

[tex]y - 3 = \frac{1}{4} (x - 8) \\ y = \frac{1}{4} x - \frac{1}{4} \times 8 + 3 \\ \\ y = \frac{1}{4} x - 2 + 3 \\ \\ y = \frac{1}{4} x + 1 \\ equating \: it \: with \: y = mx + b \\ b = 1 \\ y - intercept = 1[/tex]

Answer:

1

Step-by-step explanation:

i just took the test

Answer:

m∠K = 69°

Step-by-step explanation:

"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"

By this theorem,

m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]

Here, [tex]m(\widehat{LBJ})[/tex] = 249°

[tex]m(\widehat{LJ})[/tex] = 360° - 249°

          = 111°

m∠K = [tex]\frac{1}{2}(249-111)[/tex]

        = [tex]\frac{138}{2}[/tex]

        = 69°

Therefore, measure of angle K = 69° will be the answer.

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  [tex]-\sqrt{3}/2[/tex]

Step-by-step explanation: I did the question and got it right

A is the answer.

First, figure out all the coordinates for the points marked red( I Did this for all except first one, which was not on the right point)

They were:

-1,1

0,2

1,4

2,8

3,16.

Then, we must do trial and error for each of the options until we find one that fits perfectly. Luckily, the first option was right!

Hope this helps

Answer:

x = 4

Step-by-step explanation:

2x = 8

Divide both sides by 2.

x = 8/2

x = 4

The value of x in the equation is 4.

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

Answer:

x = 8

Step-by-step explanation:

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

The solution to the equation 4x = 32 is x = 8.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

4x = 32

By dividing both sides of the equation by 4, we have:

x = 32/4

x = 8

Read more on expression here: brainly.com/question/16729936

#SPJ6

Answer:

The inequality shown here is

-3 ≥ x < 2

Hope this helps

Answer:

√0.08¹² = 0.08⁶

Answer:

[tex]0.08^6[/tex]

Step-by-step explanation:

[tex]\sqrt{0.08^{12}}[/tex]

The square root can be written as an exponent.

[tex]0.08^{12 \times 1/2}[/tex]

Multiply the exponents.

[tex]0.08^6[/tex]

Answer:

Vertex:   ( 1 ,  9 )

Y-intercept:   ( 0 ,  8 )

Step-by-step explanation:

y = - (x+2) (x-4)

y = -x² + 2x + 8

Find the vertex.

x = -b/2a

x = -2/2(-1)

x = -2/-2

x = 1

y = -(1)² + 2(1) + 8

y = -1 + 2 + 8

y = 9

Find the y-intercept.

Put x as 0.

y = -(0)² + 2(0) + 8

y = 8

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Answer:

False

Step-by-step explanation:

Isosceles means at least two sides are equal

Equilateral means all three sides are equal

All Equilateral are isosceles, but not all isosceles are equilateral

Answer:

Step-by-step explanation:

Equilateral triangle have all sides equal to each other. Isosceles only have to have two sides equal, so the statement is false.

Answer:

Step-by-step explanation:

A

-2>-7

Answer:

-277.02

Step-by-step explanation:

Given series:

We can see the series is a GP with common ratio of -3, as:

So the next term will be:

Answer:

The object would be a Parabola

Step-by-step explanation:

The mathematical object which represent the given situation is the parabola.

Given that, you want path 2 to be equidistant from the crocodile river and the habitat you chose.

What is a parabola?

In mathematics, a parabola is a plane curve which is mirror-symmetrical and approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.

Therefore, the mathematical object to represent the given situation is the parabola.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

#SPJ5

Answer:

7,680

Step-by-step explanation:

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.