A base of a trapezoid is 16 feet, and the height is 3 feet. The area of the trapezoid is 36 square feet. Find the length of the other base

Answer:

[tex]y=\frac{3}{2} x-3[/tex]

Step-by-step explanation:

Slope Intercept form;

[tex]y=\frac{3}{2} x-3[/tex]

solution 1:

[tex]\rightarrow \sf 7 * 3\dfrac{1}{5}[/tex]

[tex]\rightarrow \sf 7 * \dfrac{16}{5}[/tex]

[tex]\rightarrow \sf \dfrac{112}{5}[/tex]

[tex]\rightarrow \sf 22\dfrac{2}{5}[/tex]

solution 2:

[tex]\rightarrow \sf 5\dfrac{4}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{54}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{108}{10}[/tex]

[tex]\rightarrow \sf 10\dfrac{8}{10}[/tex]

Answer:

The slope equals the rise divided by the run:

Step-by-step explanation:

You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Answer:

(0,−3),(1,3),(2,9) are possible options

Step-by-step explanation:

Answer:

41 Students

Step-by-step explanation:

Step the equation up as 367x+1500=16600. You want to subtract 1500 from both sides and you get 15100. Divide 15100 by 367 for how much it costs for each student and you get 41.1444141689 you want to round down because you can't have a part of a student.

Answer:

the median is 7 for your question center

Answer:

32 inches tall

Step-by-step explanation:

Pythag orean theorem

60^2  + tall^2 = 68^2

tall = 32 inch

Answer:

3

Step-by-step explanation:

hopefully it helps :)

Answer:

210, 330

Step-by-step explanation:

we know that the angle 30 gives the value of 1/2

so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.

make sure to ask if you need any further guidance. :)

Answer:

95 x 6

or  96 x 5

Step-by-step explanation:

If you examine the three numbers, you will see that 5 is the only factor of 10.

If we multiply 5 by an even number, we get a multiple of 10.

If we multiply 5 by an odd number, we get a multiple of 5.

Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.

This means that the first digit of the 2-digit number has to be 9.

So the options are:  95 x 6  and  96 x 5

56 x 9 = 504

59 x 6 = 354

65 x 9 = 585

69 x 5 = 345

95 x 6 = 570

96 x 5 = 480

**Mulitples of 10 have a zero in the units place**

Answer:

√17

Hope it helps.......

We will see that we have a piecewise function:

The graph can be seen at the end.

A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.

In this case, we know that:

f(x) = x^2   for x > 0.

Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:

f(x) = -x^2  for x ≤ 0.

This is the odd function (a piecewise function) for the whole domain:

The graph of the piecewise function can be seen below.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Answer:

[tex]f(x) =\frac{x^3}{|x|}[/tex]

Step-by-step explanation:

Being an odd function means that [tex]f(-x) = -f(x)[/tex].

Graphically, it means the function will be symmetric across the origin.

So, the graph will have to look like the shown graph.

This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.

To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.

However, this will simply result in the function [tex]f(x) = x^2[/tex].

If we divide by the absolute value of x however, the graph will look as desired.

Answer:

21.98

Step-by-step explanation:

u have 2 multiply 3.14 and 7

ur wlcm

Answer:

21.98

Step-by-step explanation:

might be 21.99 but schould be 21.98

c=pie(d)

C=3.14(7)

21.98=7x3.14

Answer:

8 $10 notes

Step-by-step explanation:

I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.

So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes

Answer:

Architect Characteristics

Negotiation Skills

Love of Learning

Broad Knowledge

Love of Nature

Hard Workers

Step-by-step explanation:

Answer:

-2, 1, 4

Step-by-step explanation:

Question was already answered.

Answer:

its D on edge 2022

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Your required probabilty answer is 1/9

Step-by-step explanation:

Hi please can u post the diagram so that we can find the perimeter

For the given parabola, the axis of symmetry is x = 2.

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

Answer:

Step-by-step explanation:

Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Answer:

Step-by-step explanation:

According to definition of the function, it should have one-to-one relation.

We can see all pairs are unique, no repeated ranges for same domain.

Yes, this is a function.

Given relationship

Domain:-

Range:-

As every domain has an unique range it's a function

ANSWER: 8.3

EXPLANATION :perimeter= (length + width)2

29.6 m = ( length+6.5)2

29.6 = 2l + 13

29.6 Subtract 13 = 2 lengths

16.6÷2 =2l ÷2

length = 8.3

Answer: $17.55

Step-by-step explanation:

    We will multiply the bill by 117% to account for the original amount and the tip being given.

117% / 100 -> 1.17

$15 * 1.17 = $17.55

     Sarah should leave $17.55 in total.

Answer:

The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i

Answer:

No solution

Step-by-step explanation:

If the answer has no solution you can't change it, just write No solution

Answer:

I believe the answer would be 3/2 or 1 1/2

Step-by-step explanation:

This is how I did it

6 7/12 - 2 5/12 =  4 1/6

Then,

4 1/6 - 2 8/12 = 1 1/2

In decimal form, it'll be 1.5

----------------------------------

I hope i helped you.

Answer:

  a. 2 7/9 miles

  b. 21.6 minutes

  c. 8 1/3 miles

Step-by-step explanation:

The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.

We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...

  k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile

__

The proportion can be written ...

  distance/(20 minutes) = (1 mile)/(7.2 minutes)

  distance = (20/7.2) miles = 2 7/9 miles

Catlin will run 2 7/9 miles in 20 minutes

__

The proportion can be written ...

  time/(3 miles) = (7.2 minutes)/(1 mile)

  time = (3)(7.2 minutes) = 21.6 minutes

Catlin was running 21.6 minutes

__

In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...

  3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles

Catlin will run 8 1/3 miles in one hour.

_____

Additional comment

Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.

Answer:

4,7,0,

Step-by-step explanation:

answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know