A rectangular garden that measures 6 feet by 8 feet is roped off to form a
right triangle. What is the length of the rope?
Rope
6 ft

Answer:

C. AAS

Step-by-step explanation:

Since we are given two angles and one side, that limits our options to B or C. It can't be B, because ASA is only when the side given is in between the two angles, so it must be C.

Answer:

C

Step-by-step explanation:

Answer:

13, 15, 17

Step-by-step explanation:

Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:

Let the least number be "x". Set the equation:

(x) + (x + 2) + (x + 4) = 45

Isolate the variable, x. First, combine like terms:

(x + x + x) + (2 + 4) = 45

(3x) + 6 = 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:

3x + 6 (-6) = 45 (-6)

3x = 45 - 6

3x = 39

Divide 3 from both sides:

(3x)/3 = (39)/3

x = 39/3

x = 13

Your first number (x) is 13. Solve for the other 2 numbers:

(x) = 13

(x + 2) = 13 + 2 = 15

(x + 4) = 13 + 4 = 17

13, 15, 17 are your numbers:

Check:

13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45

~

Answer:

40

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

figure a to figure b is a reduction so we do the smaller side divided by the bigger side (use the similar sides on the figures)

5/15 = 1/3

or you could do 11/33 = 1/3

Answer:

7i.

Step-by-step explanation:

Note : The given expression must be [tex]\sqrt{-49}[/tex].

We have to write this radical value in the imaginary value.

The given value can be rewritten as

[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]

[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex]    [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\sqrt{-49}=7\times i[/tex]    [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-49}=7i[/tex]

Therefore, the required expression is 7i.

Answer:

8

Step-by-step explanation:

4(HCL)

H=1 mol,CL=1 mol

4(1+1)

4(2)

4x2=8molecules

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:

Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:

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A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent

Answer:

Polygon

Step-by-step explanation:

a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.

Hope this helps!

Answer:

option 4

Step-by-step explanation:

(2x - 3) - (-3x + 4)

= 2x - 3  +3x  - 4    {remove parenthesis by bringing in th (-) sign}

= 2x + 3x - 3 - 4   {add the like term}

= 5x - 7

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

For more references on slope, click;

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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:

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?

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:

Circumference = 81.64 inches

Please choose the closest out of the provided choices or post them if necessary.

Step-by-step explanation:

Circumference = diameter * pi

= 26 * 3.14

= 81.64

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:

Any number larger than 10 units (in my example, 30 units)

Step-by-step explanation:

A scaled copy of a shape means that all the angles are the same and that it is basically the same shape that has been made bigger or smaller but still with the same proportions.

Note: If the scale factor is greater than 1, it means that Iria's scaled copy will be larger than this triangle.

Step 1.

Choose any number larger than 1 (as we aren't given the actual number she chose). To make things easy, I will choose the number 3 as it's a small number and it's a whole number (not a fraction or decimal).

Step 2.

Take the number you chose before (in my case, 3) and multiply it with the base length of the triangle in the diagram.

10 x 3 = 30 units

Note: Since the scale factor could be any number larger than 1, the base length can be any number larger than 10.

I hope this helps! :)

Bluey

Answer:

216 yds

Step-by-step explanation:

Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.

Answer:

216 [tex]yd^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a prism:

[tex]Vol=W\,*\,D\,*\,H[/tex]

where W represents the prism's width, D its depth, and H its height.

In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)

Then the volume of this prism is:

[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]

Answer:

75°

Step-by-step explanation:

Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°

All we need to do is simply subtract 15° from 90° to find m∠ATB:

90 - 15 = 75°

Answer:

Solution,

Let m<ATB be X

[tex]x + 15 + 90 = 180[/tex]

(sum of angle in straight line)

[tex]x + 105 = 180[/tex]

subtract 105 on both sides

[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]

Hope this helps ...

Good luck on your assignment..

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▹ Answer

n = 12

▹ Step-by-Step Explanation

n + 42 ÷ -3 = -2

n - 14 = -2

n = -2 + 14

n = 12

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]n=12[/tex]

Step-by-step explanation:

[tex]n+\frac{42}{-3}=-2[/tex]

[tex]n + -14 = -2[/tex]

[tex]\mathrm{Add\:}14\mathrm{\:to\:both\:sides.}[/tex]

[tex]n + -14+14 = -2+14[/tex]

[tex]\mathrm{Simplify}.[/tex]

[tex]n=12[/tex]

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:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0   ------> this is the required quadratic equation.

Answer:

the point on the plane (-15, 5)

Step-by-step explanation:

These lines are:

1)  a vertical line (x=-15) which implies that all x values of the points that it contains have coordinate x= -15

2) a horizontal line (y=5) which implies that all y values of the points that it contains have coordinate y = 5

Then the intersection must occur at x = -15 and y = 5, that is at the point (-15, 5)

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

Hey there! :)

Answer:

Length = 24 meters.

Width = 8 meters.

Step-by-step explanation:

Recall that to find the area of a rectangle, the formula is as shown:

A = l × w

In this case, the length is 3 times the length of the width, or 3 : 1.

Let w = width, and

3w = length.

Find the value of w by plugging in these values into the equation:

192 = 3w · w

192 = 3w²

Divide both sides by 3:

64 = w²

Square root both sides:

w = 8 meters. This is the width.

The length is equivalent to 3w, so:

3(8) = 24 meters.

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).

Learn more about midpoint here:

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Answer:

Step-by-step explanation:?

Step-by-step explanation:

total hours = 8 1/4= 33/4

Sam = 1 1/3 = 4/3

john=1 5/6 =11/6

matt= twice as long as john= 2(1 5/6)= 11/3

Bob= x

4/3+11/6+11/3 + x =33/4

11+22+8/6 + x =33/4

41/6 + x =33/4

x = 33/4 - 41/6

x= 99-82/12

x=17/12

x =1 5/12

therefore Bob drove 1 5/12.

When x=-2, g=0

Step-by-step explanation:

(-2)^2=4, then add 2(-2)=-4 to this, getting 0

Answer:

Daylilies cost $11 and shrubs cost $11

Step-by-step explanation:

Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:

9x + 4y = 143 -- Equation 1

14x + 4y = 198 -- Equation 2

5x = 55 -- Subtract Equation 1 from Equation 2

x = 11 -- Divide by 5

9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1

4y = 44 -- Subtract 99

y = 11 -- Divide by 4