What is the area of the trapezoid shown? The figure is not drawn to scale.

284.31 in.²
303.75 in.²
568.62 in.²
607.5 in.2

The area of the rectangle, as shown in the image given is calculated as: 48 square units.

The area of a rectangle = length × width.

Find the length and width of the rectangle:

Area of rectangle ABCD = 8 × 6 = 48 square units.

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In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

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The number of schools have participated for 1 year or less are below the first quartile, which is: A. 6 schools.

The first quartile marks the 25th data point of a data distribution (1/4) and is represented at the beginning of the edge of the rectangular box in a box plot.

Using the box plot given, 1 year is the first quartile mark on the box plot. So, the schools that participated for 1 year or less is 1/4 of the total schools. That is:

1/4 × 24 = 6 schools.

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Answer:

Step-by-step explanation:

A regular pentagon has five interior angles of the same measure.

Then

An interior angle has a  measure of :

540/5 = 108°

Hello, the answer should be [tex]108^o[/tex].

The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;

[tex]Interior=\frac{Sum(angles)}{Side}[/tex]

Regular pentagon has 5 sides.

The sum of interior angles of regular pentagon is [tex]540^o[/tex].

[tex]Result=\frac{540^o}{5}=108^o[/tex]

Good luck! If you have any question(s), then feel free to ask in comments.

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

A reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;

P = (-4, -3)

Q = (-2,-4)

R = (1, -2)

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

The y coordinates are multiplied by a factor of 2

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Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

x = -1 or x = -8 ✅

To solve this equation, you have to use the zero product property.

↳ Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

⇒x = -8

Therefore, x = -1 or x = -8.

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Answer:

Metaphor

Step-by-step explanation:

This is a comparison between the ocean and a magnet, but it did not use like or as, so it is a metaphor.

Answer: The correct answer is 3. metaphor.

Step-by-step explanation:

A hyperbole is an exagerration.

A simile is a comparison used with like or as.

A metaphor is a comparison used without like or as.

Therefore, "The ocean was a magnet pulling me closer to it." includes a metaphor.

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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Answer:

[tex]B) ~\dfrac 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{4-2}{3-(-2)}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Automobile insurance with the split limits 200/300/400 will cover up to $200,000 in bodily injury per person.

This is a form of protection from financial loss and is used as a means of risk management.

$200,000 medical bodily injury coverage per person, $300,000 bodily injury coverage for the entire accident and $400,000 total property damage limits.

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Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7

ae need inequalities

#1

No more than means maximum

#2

At least means minimum

#3

No more than is maximum

h≤7

speed = distance / time

35 minutes / 60 minutes = 0.583 hours

speed = 49 km / 0.583 hours

Speed = 68.57 km/hr

answer: C. 68.57 km/hour

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

Check the picture below.

[tex]y = x\implies y = \stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0} \\\\\\ \begin{cases} \stackrel{\textit{2 units up}}{D=+2}\\\\ \stackrel{\textit{3 units left}}{C=+3}\\ B=1 \end{cases}\qquad \implies y = \stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+3})\stackrel{D}{+2}\qquad \implies y=(x+3)+2[/tex]

Answer:

The median is 11.

Explanation:

Add the middle values to calculate the mean, then divide this by 2. That gives you 11.

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

Answer:

Let us assume your secret number is 12, and we can simply write down ALL the factors of 12:

1, 12

2, 6

3, 4

Answer:

29/48

Step-by-step explanation:

Total number of spins: 8 + 11 + 17 + 12 = 48

Total number of spins greater than 2: 17 + 12 = 29

p(greater than 2) = 29/48

Answer:

fx 8

Step-by-step explanation:

ao the answer ia fx 8 do times

Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

Answer:

2827.43in²

Step-by-step explanation:

formula for area of a circle is r²π with r being the radius (30 in this case)

we can plug in 30 for r to solve for the area

30²π

900π

2827.43

that is the answer

- kan academy advance

Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.