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Answer:

143 yards squared.

Step-by-step explanation:

According to the diagram, there are 6 sides: two trapezoids, and 4 rectangles.

To find the area of a trapezoid, you need to calculate using the formula shown below.

The height of each trapezoid is 3.5 yards. The b1 of each trapezoid is 3 yards. The b2 of each trapezoid is 7 yards.

So, the area of a single trapezoid is [3.5(3 + 7)] / 2 = (3.5 * 10) / 2 = 35 / 2 = 17.5 yards squared.

The area of two trapezoids will be 17.5 * 2 = 35 yards squared.

To find the area of a rectangle, do base times height.

There are, apparently, three types of rectangles in the diagram. All four rectangles have a width of 6 yards. One rectangle has a length of 3 yards, two rectangles have lengths of 4 yards, and one rectangle has a length of 7 yards.

So, the total areas of the rectangles are: (3 * 6) + 2(4 * 6) + (7 * 6) = 18 + 2 * 24 + 42 = 18 + 48 + 42 = 108 yards squared.

So, the total surface area of the figure is 35 + 108 = 143 yards squared.

Hope this helps!

Answer:

Part 1: Already solved.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

Answer:

1

Step-by-step explanation:

On khan

Answer:

solution,

Angles in a straight line ( linear pair)= 180°

180°-110°=70°

Now,

Sum of angle in triangle= 180°

[tex]70 + x + x + 70 = 180 \\ or \: 70 + 2x + 70 = 180 \\ or \: 140 + 2x = 180 \\ or \: 2x = 180 - 140 \\ or \: 2x = 40 \\ or \: x = \frac{40}{2} \\ x = 20[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

$118

Step-by-step explanation:

The amount Jordan will have on 1st of the February is $118

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,

The saving are

In 1st week = $86

In 2nd week = $94

Therefore, we can consider the coordinates as (1, 86) or (2, 94)

We know that, standard equation of a line = y = mx+c

Where, m is the slope,

We have here slope = 8

Finding for c, put x = 1 and y = 86

c = 78

Now finding the amount for 5 weeks, that means x = 5

y = 5x8+78

y = 118

Hence, The amount Jordan will have on 1st of the February is $118

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Answer:

805

Step-by-step explanation:

Scaling up by a factor of ten means that you must multiply the original number by 10. Because 10 has one zero, the best way to figure this out is just moving the decimal to the right ONCE (just like there is ONE zero)! This gives us 805.

If you have any other questions about this concept, please comment on my answer!!

Answer:

D

Step-by-step explanation:

An arithmetic sequence has to increase or decrease by the same amount each time

-3 ,-10,-17,-24,-31

Decreases by 7 each time so it is an arithmetic sequence

Answer:

i think its D not to sure

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Step 1: Plug in x

2¹ - 2^-1 + 2⁰

Step 2: Evaluate

2 - 1/2 + 1

3/2 + 1

5/2

Answer:

[tex]\boxed{\frac{5}{2} }[/tex]

Step-by-step explanation:

=> [tex]x - x^{-1} + x^0[/tex]

Rule of exponents [tex]x^0 = 1[/tex]

For x = 2

=> 2 - [tex](2)^{-1}[/tex] + 1

=> 5 / 2

=> [tex]\frac{5}{2}[/tex]

Answer:

x

Step-by-step explanation:

Answer:

D) 1040- EZ Form

Step-by-step explanation:

Hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

a) What is her average speed in mph?

= 65 mph

b) How many miles does Matthew drive?

=310 miles

Step-by-step explanation:

The average speed in meters per hour (mph) of Helen is 65 miles per hour

Given:

Total distance = 195 miles

Time taken = 3 hours

= 195 miles ÷ 3 hours

= 65 miles per hour

If Matthew drives at an average speed of 62 mph for 5 hours.

Total distance between traveled = Average speed × Time taken

= 62 mph × 5 hours

= 310 Miles

Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles

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Answer:

C; x = 900

Step-by-step explanation:

1. Write out the problem: x/15 = 60

2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).

3. Equation then becomes this: x = 15*60

4. Answer: 900

5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines  we can get the y- intercept

[tex]y = 10x + 30\\\y= mx+c[/tex]

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

The y-intercept in this model for the average gym costs is 30.

In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.

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Answer:

f(x) = |x|

g(x) = |x| - 2

h(x) = |x| + 3

Step-by-step explanation:

All the functions graphed represent the absolute value functions.

Since function g(x) passes through (0, 0) and (1, 1),

Let the equation of a line passing through these points is,

y = mx + b

Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]

m = 1

y-intercept of the line 'b' = 0

Therefore, equation of the line will be,

y = x

And the function representing the two lines (both are the mirror images) joining at the origin will be,

f(x) = |x|

When the parent function is shifted 3 units up, the new function will be

h(x) = |x| + 3

When the parent function is shifted 2 units down,

g(x) = |x| - 2

Answer:

yes

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

The given equation is

[tex]10b=5(\sqrt{c}+2)[/tex]

We need to find an equation which is equivalent to the given equation.

Using distributive property, we get

[tex]10b=5(\sqrt{c})+5(2)[/tex]

[tex]10b=5\sqrt{c}+10[/tex]

Subtract both sides by 10.

[tex]10b-10=5\sqrt{c}[/tex]

Divide both sides by 5.

[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]

Taking square on both sides.

[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]

[tex]\dfrac{(10b-10)^2}{25}=c[/tex]

[tex]c=\dfrac{(10b-10)^2}{25}[/tex]

This equation is equivalent to the given equation.

Therefore, the correct option is D.

Answer:

d on edgenuity

Step-by-step explanation:

The answer is A) 5 cm³

Volume is represented by cubic units.

Hope it helps <3

Answer:

25 units.

Step-by-step explanation:

The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.

Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.

Now that we know the triangles are similar, we can construct a proportion...

[tex]\frac{16}{20} =\frac{20}{x}[/tex]

That means that 4/5 = 20/x

1/5 = 5/x

x = 25

Hope this helps!

Answer:

m(-6,2)

Step-by-step explanation:

m=(-8+-4/2,-6+10/2)

=(-12/2,4/2)

=(-6,2)

The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The formula to find the midpoint using the coordinates of the line is,

[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.

The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,

[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]

Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

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Answer:

1

Step-by-step explanation:

answer is 1 trust me use simple algebra

Answer:

240 is the number with a zero and 24 is the number with no zero

Step-by-step explanation:

240 + 24 equals 264 . 240 has a zero take away the zero and you get the second number

Answer:

x= 3/2 = 1.5

Step-by-step explanation:

● 5(4x-10)+10x =4(2x-3)+2(x-4)

Simplify the products

● 5*4x-5*10+10x = 4*2x-4*3+2*x-2*4

● 20x-50+10x = 8x-12+2x-8

Add the terms that don't contain x with each other

●20x-50+10x = 8x-20+2x

Add 20 in both sides

●20x-50+20+10x = 8x-20+2x+20

●20x-30+10x = 8x+2x

Add together the terms that contain x

●30x -30 = 10x

Add -10x in both sides

●30x-30-10x = 10x-10x

● 20x -30 = 0

Add 30 in both sides

● 20x-30+30 = 30

● 20x = 30

Divide both sides by 20

●20x/20 = 30/20

● x= 30/20

● x= 3/2

● x= 1.5

Answer:

3/2

Step-by-step explanation:

Answer: 10.

Step-by-step explanation:

You are given the equation

(ax+b)(ax+c)=4x^2-25

Expand the Left hand side by opening the bracket.

a^2x^2 + axc + abx + bc

a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25

From the equation above, we can see that;

a^2x^2 = 4x^2

a^2 = 4

a =  √4

a = 2

Also, axc + abx = 0x

axc = abx

ax will cancel out from both sides

c = b

From the equation, bc = 25

But c = b. Substitute c for b

b^2 = 25

b =  √25

b = 5 = c

b + c is therefore 5 + 5 = 10

Answer:

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]

[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]

[tex] = \frac{2880000}{360000} [/tex]

[tex] = 8 \: years[/tex]

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

Answer: 62

Step-by-step explanation:

The surface area of a rectangular prism is 2(wl+hl+hw).

Simply plug in the values to get 62

Answer:

62cm ^2

Step-by-step explanation:

every cube has 6 sides,

2(3*5) + 2(2*3)+ 2(2*5)=

2(15)+2(6)+2(10)=

30+12+20=

62

Answer: 3 notebooks

Step-by-step explanation:

First take the three mechanical pencils out of the equation by doing

15 - (3*1.75) = 9.75.  Because each notebook costs 3 dollars, she can afford 3 notebooks, with 1 dollar left over.

Hope it helps <3

Answer:

3 notebooks

Step-by-step explanation:

(1,75x3)=5.25   15.00-5.25=9.75

2.99x=9.75

x=3,26

so she can buy 3 notebooks

Answer:

19900kk

Step-by-step explanation:

i need deez points fr doe

Step-by-step explanation:

convert the angle from radian to degree you will get 225°

To draw it draw first 180° then ad 45° to make it easy

Answer:

can you please make the question more clear!

Step-by-step explanation:

i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=

1/ 4+17+3

1/24?