Find the area of the parallelogram.
42mm
20 mm
Area =
mm2

Answer:

4

Step-by-step explanation:

Because there are 8 numbers so there is a 50% possibility of a even number and it just makes sense to me bye have a great day. <3

Answer:

110 miles

Step-by-step explanation:

Answer:110

Step-by-step explanation:

Answer:

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator. To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division. why because You might find the wrong answer to the problem and You will Get every problem wrong unless You use the slant asym.

Step-by-step explanation:

goodluck

Answer: A. Translate 10 units to the right and 8 units up.

Step-by-step explanation:

The total amount of balls there are is : 8 + 2 + 1 + 3 + 5 = 19 (balls)

There are 5 footballs in the bag, so the probability of you selecting a football is 5 : 19 = 5/19

The mean points of the team is the average points per game

Dom's claim is wrong

The number of players in the team is:

n = 8

The mean score per game is:

Mean = 12

The mean of a dataset is calculated as:

[tex]Mean = \frac{Total}n[/tex]

So, we have:

[tex]12= \frac{Total}8[/tex]

Multiply both sides by 8

[tex]Total = 96\\[/tex]

When Dom's point is removed, we have:

[tex]Points = 96 - 33[/tex]

[tex]Points = 63[/tex]

There are 7 players left.

So, the mean point is:

[tex]Mean = \frac{63}7[/tex]

[tex]Mean = 9[/tex]

The mean score is not 10.

Hence, Dom's claim is wrong

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Answer:

D is your correct answer

Step-by-step explanation:

This is a quadratic equation which means that it has two roots which is your X-Intercepts. As seen on the graph, your X-intercepts are 3 and 5 which are your roots. Simple bring them over to the other side so you have (X-3) and (X-5)

You now multiply them into each other:

(X-5)×(X-3)=0

: X^2-8x+15

Answer:

D)  y = x² - 8x + 15

Step-by-step explanation:

x-intercepts are at x = 3 and x = 5

⇒ y = (x - 3)(x - 5)

⇒ y = x² - 8x + 15

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

We have,

We know that,

Area of semicircle

[tex]\bold{\pink{ = }}{\bold{\pink{\dfrac{1}{2}}}}{\bold{\pink{\pi{r^{2}}}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{\dfrac{4^{2}}{2}}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{\dfrac{16}{2}}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{176}{7}}}[/tex]

[tex]\bold{ = 25.142\: in.^{2}}[/tex]

Area of parallelogram

[tex]\bold{\red{ = Base }}{\bold{\red{\times{ Height }}}}[/tex]

Subsitute the required values,

[tex]\sf{ = 10 }{\sf{\times{ 6 }}}[/tex]

[tex]\bold{ = 60 \:in.^{2}}[/tex]

Thus, The area of parallelogram is 60 in.

Area of the given figure

= Area of semicircle + Area of parallelogram

Subsitute the required values,

[tex]\sf{ = 25.142 + 60 }[/tex]

[tex]\sf{ = 85.142\: in^{2}. }[/tex]

When round off to nearest Hundred

[tex]\bold{ = 85.1 in.^{2}}[/tex]

Hence, The area of the given figure is 85.1 inches² .

The area of the composite figure to the nearest hundredth is 85.12 inches squared.

The area can be defined as the space occupied by a flat shape or the surface of an object.

Therefore, the figure is a composite figure, it has a parallelogram and a semi circle.

area of the figure = area of parallelogram + area of semi circle

area of parallelogram = bh

where

b = 10 inches

h = 6 inches

area of parallelogram = 10 × 6 = 60 inches²

area of semi circle = πr²  / 2

where

Therefore,

r = 8 / 2 = 4 inches

area of semi circle = 3.14 × 4² / 2

area of semi circle = 3.14 × 16 / 2

area of semi circle = 50.24 / 2

area of semi circle = 25.12 inches²

area of the figure = 60 + 25.12 = 85.12 inches²

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Answer:

both plumbers charge $120 for 3 hours of work

Step-by-step explanation:

1) x=3 and x stands for hours.

2) 120=y and y stands for money charged

so the points (3, 120) show that the plumbers both charge 120 for 3 hrs.

Answer:

15

Step-by-step explanation:

First, we need to add 9 to the other side to get k by itself, giving us 15 = k.  

Key Points:

- Remember: we always want the thing we are solving for by itself.

Answer:

1. 130°

2. 65°

3. 158°

4. 135°

5. 135°

Step-by-step explanation:

Let x be the unknown angle

1. Congruent angles are marked with a dash

Sum of interior angles of a 5-sided polygon is 540°

⇒ x + 90 + 110 + 100 + 110 = 540

⇒ x = 130°

2. Congruent angles are marked with a dash

Sum of interior angles of a triangle is 180°

⇒ 2x + 50 = 180

⇒ x = 65°

3. Sum of interior angles of a 5-sided polygon is 540°

⇒ x + 76 + 90 + 90 + 126 = 540

⇒ x = 158°

4. Congruent angles are marked with a dash

Sum of interior angles of a 6-sided polygon is 720°

⇒ 4x + 90 + 90 = 720

⇒ x = 135°

5. Congruent angles are marked with a dash

Sum of interior angles of a 8-sided polygon is 1080°

⇒ 8x = 1080

⇒ x = 135°

Answer:

4 and 7

Step-by-step explanation:

let's call the first number 'x' and the second number 'y'

so from the question we obtain two equations:

2x+y=15 ..... equation 1 and

x+y=11 .........equation 2

rearranging equation 2

y=11-x

now let's substitute it to equation 1

2x+11-x=15

x=15-11

x=4

now solving for y(let's take equation 2)

4+y=11

y=11-4

y=7

Answer:

2 + √3

Step-by-step explanation:

Multiply the expression by [tex]\dfrac{\sqrt{3} +1}{\sqrt{3} +1}[/tex] :

[tex]\implies \dfrac{\sqrt{3} +1}{\sqrt{3} -1}\times\dfrac{\sqrt{3} +1}{\sqrt{3} +1}=\dfrac{(\sqrt{3} +1)^2}{3+\sqrt{3}-\sqrt{3}-1}=\dfrac{(\sqrt{3} +1)^2}{2}[/tex]

[tex]\implies \dfrac{(\sqrt{3} +1)^2}{2}=\dfrac{3+2\sqrt{3}+1 }{2}=\dfrac{4+2\sqrt{3} }{2}=2+\sqrt{3}[/tex]

Answer:

B. -41

Step-by-step explanation:

It’s the only negative number, which makes it the farthest away from 0. The numbers in the brackets are always positive even though they show as negative because of absolute value.

Answer:

the answer is -41

Step-by-step explanation:

that furthest

Answer:

Step-by-step explanation:

Answer:

9.4

Step-by-step explanation:

You can figure out the Hypotenuse length with only 1 angle and side length using the following formula:

Adjacent/cos(theta)

Which gives 9.433, which equals the hypotenuse.

Rounded up gives 9.4

The correct statements about the polynomial are as follows;

The terms 4x3 and 8x have a common factor.

The terms 4x3 and – 6x2 have a common factor.

The polynomial can be grouped in different ways to factor by grouping.

A polynomial is comprised of variables, exponents, constants, and these can be added, subtracted, multiplied, or divided.

Given

The polynomial is;

[tex]\rm 4x^3-6x^2+8x-12[/tex]

The correct statements about the polynomial are as follows;

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In a right triangle, the side that is opposite to a 30 degree angle is equal to half the hypotenuse (you can search it up)

So, the hypotenuse is equal to 3 x 2 = 6

Using the pythagorean theorem, we have :

[tex]x^{2} +3^{2} =6^{2}[/tex]
[tex]x^{2} =6^{2} -3^{2}[/tex] [tex]=36 - 9[/tex] [tex]= 27[/tex]
[tex]x = \sqrt{27}[/tex] [tex]= 5.19615242271...[/tex] (round to 5.2)

Simplify :

[tex]\sqrt{27} = \sqrt{9.3} = 3.\sqrt{3}[/tex]

Answer: 2/3x 3/5 = 6/15

Step-by-step explanation: the grid has 15 squares so shade in 6 of the 15 squares

140.4                                                                                    hope its helps!!! :)))

Answer:

[tex]81^{108}=1.30732\dots E206[/tex]

Step-by-step explanation:

[tex]81^{108}[/tex]

[tex]\mathrm{Refine\:to\:a\:decimal\:form}[/tex]

[tex]=1.30732\dots E206[/tex]

[tex]81^{108}=1.30732\dots E206[/tex]

Answer:

A=B*H

Step-by-step explanation:

multiply B (base) by H (height)

ANSWER:

x = -3

Step-by-step explanation:

55+54+x+74=180

109+x+74=180

183 + x = 180

x = -3

Answer:

Step-by-step explanation:

All triangles have 180 as the sum of the 3 interior angles.

x + 74 + 55 + 54 = 180            Combine

x + 183 = 180                           Subtract 183 from both sides.

x = 180 - 183                            Combine

x = - 3

You probably have been told that there is no such thing as a minus angle, and that's true. The angle isn't minus. Just x is. The size of the angle is

Angle size = 74 - 3 = 71

Now try adding them together

55 + 54 + 71 = 180 which is what it should come to  

Answer:

h=6

Step-by-step explanation:

multiply 2 by the denominator (3) and then you get 6

- to check ur answer, just plug ur answer into the equation and see if you get the same results (6/3 = 2)

Answer:

k = 6

Step-by-step explanation:

"The product of 12 and k"  means 12*k

"is 84" means = 84

Therefore:  

12k = 84

k = 6

Answer:

I believe the answer is -243

Step-by-step explanation:

The line which is the best model for the data in a scatter plot is: D. A scatterplot with an x axis labeled, variable A from twenty to sixty in increments of ten and the y axis labeled, variable B from twenty to forty in increments of five with a negative trend line through the middle of eight points.

A scatter plot can be defined as a graph which uses Cartesian coordinates (x-axis and y-axis) to display the values of two (2) variables, with the resulting points revealing any correlation between the data.

A trend line refers to an statistical (analytical) tool that is used in conjunction with a scatter plot, so as to determine whether or not there's any correlation between a data.

For example, a scatterplot with an x-axis with its points ranging from twenty (20) to sixty (60) in increments of ten (10) while the y-axis has  its points ranging from twenty (20) to forty (40) in increments of five (5) with a negative trend line through the middle of eight (8) points i.e above and below the trend line.

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The diagrams showing pairs of adjacent angles and the given description is shown in the attachments below.

Adjacent angles are angle that share the same vertex and also has a side in common.

a. An obtuse angle is greater than 90°.

Figure 1 shows a pair of adjacent angles that are obtuse which are ∠ABD and ∠CBD

b. Figure 2 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 180 degrees.

c. Figure 3 shows two adjacent angles, ∠ABD and ∠CBD whose sum equals 60 degrees.

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