The bases of a trapezoid are 4 yards and 6 yards. The height of the trapezoid is 5 yards. What is the area of the trapezoid?

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

For Example:

3 x 3= 9

is the same as...

3^2= 9

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2

78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number

The mode is 88

The mean is 86.75

And the range is 17

Can I have brainliest if it is correct plz?

Answer:

This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)

have a great day

Answer:

(3,12) and (6,18)

Step-by-step explanation:

An order pair is not included if it make the equation false. Substitute each pair to determine this.

(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE

(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE

(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE

(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE

The correct answer is option (B)(D) because the ordered pair (3,12) and (6,18) is not included in graph of [tex]\( p = 3m + 6 \)[/tex].

To determine which ordered pair is not included in the graph of [tex]\( p = 3m + 6 \)[/tex], we need to verify each pair against the equation [tex]\( p = 3m + 6 \)[/tex].

The equation [tex]\( p = 3m + 6 \)[/tex] represents a linear relationship where [tex]\( m \)[/tex] is the independent variable (input) and [tex]\( p \)[/tex] is the dependent variable (output).

Let's check each ordered pair:

A) [tex]\( (1, 9) \)[/tex]:

[tex]\[ p = 3 \times 1 + 6 = 3 + 6 = 9 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

B) [tex]\( (3, 12) \)[/tex]:

[tex]\[ p = 3 \times 3 + 6 = 9 + 6 = 15\neq 12 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

C) [tex]\( (10, 36) \)[/tex]:

[tex]\[ p = 3 \times 10 + 6 = 30 + 6 = 36 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

D) [tex]\( (6, 18) \)[/tex]:

[tex]\[ p = 3 \times 6 + 6 = 18 + 6 = 24 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

Answer:

3.5 Quarts

Step-by-step explanation:

we know that;

4 cups = 1 Quart

Therefore;

1 cup = 1/4 Quart

Therefore;

14 cups will be equivalent to ;

  = 14 × 1/4

  = 14/4 Quarts

  = 3.5 Quarts

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf 12x^4\cdot -\cfrac{5}{6x^3y^2}\implies -\cfrac{12\cdot 5\cdot x^4}{6x^3y^2}\implies -\cfrac{12}{6}\cdot \cfrac{5}{1}\cdot \cfrac{x^4}{x^3y^2}\implies -2\cdot 5\cdot \cfrac{x^4x^{-3}}{y^2} \\\\\\ -10\cdot \cfrac{x^{4-3}}{y^2}\implies -10\cdot \cfrac{x}{y^2}\implies -\cfrac{10x}{y^2}[/tex]

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Answer:

-14 or 13

Step-by-step explanation:

x + x^2 = 182  

x^2 + x - 182 = 0  

rearrange and solve by completing the square  

x^2 + x = 182  

x^2 + x + 1/4 = 182.25  

(x + 1/2)(x + 1/2) = 182.25  

(x + 1/2)^2 = 182.25  

x + 1/2 = root 182.25  

x = + or - root 182.25 - 0.5  

x = + or - 13.5 - 0.5  

x = 13 or x = - 14

Answer:

- 14 or 13

Step-by-step explanation:

let the number be n then it's square is n² and

n² + n = 182 ( subtract 182 from both sides )

n² + n - 182 = 0 ← in standard form

(n + 14)(n - 13) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 13 = 0 ⇒ n = 13

As a check

(-14)² - 14 = 196 - 14 = 182

13² + 13 = 169 + 13 = 182

Answer:

The area of that face is 28

Step-by-step explanation:

because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28

Answer:

[tex]28in^{2}[/tex]

Step-by-step explanation:

We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.

So, the area of the rectangle is

[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]

Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is

[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]

The total area would be

[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]

Therefore, the right answer is [tex]28in^{2}[/tex]

Answer:

a variable numerator

Step-by-step explanation:

Answer:

Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.

Let a algebraic equation is

[tex]4x+4=18[/tex]

Subtract 4 from both sides.

[tex]4x=14[/tex]

Divide both sides by 4.

[tex]x=\frac{14}{4}[/tex]

Now cancel out the common factors.

[tex]x=\frac{7}{2}[/tex]

The final answer in algebraic fraction is 7/2.

Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

[tex] \sqrt{121} [/tex]

[tex] \sqrt{11 \times 11} [/tex]

A. 11

Answer:

A.11

Step-by-step explanation:

sqrt(121)

What number times itself is 121

11*11 = 121

-11*-11 =121

We have two options 11 or -11

Given our choices

A.11

Answer:

explanation below

Step-by-step explanation:

3/4+3/4+3/4=9/4 or 2   1/4 pounds of cheese

1/2+1/2+1/2+1/2= 4/2 or 2 pounds of meat

so in total he buys 2 and 1/4 a pound of cheese and 2 pounds of meat or 4 1/4 pounds of total product

Answer:

The total food that yasuko did buy at the deli was: 4 1/4 pounds.

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1} = 6[/tex]

so

[tex]6^{-1} = \frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36\\[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

= [tex]\frac{1}{36}[/tex]

Answer: 9 or -9 it can be both

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the square root is fundamentally just what two numbers multiply together to make the number within the square root

9 x 9 = 81

so 9 is the square root

also think of the root of the square

9^2 the root in this case is the nine and te answer is 81

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

Answer:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Step-by-step explanation:

To solve this problem you must know the formula of subtraction of angles for the function cosx.

The formula is:

[tex]cos(h-d) = cos(h)cos(d) + sin(h)sin(d)[/tex]

We can write 30° as: 45° - 15°

Then:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Using the formula for subtraction of angles we have:

[tex]cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)[/tex]

Notice that we have achieved the expression shown in the statement

Finally:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Answer:

square root 3/2

Step-by-step explanation:

on usatestprep and the unit circle

Answer:

The lines are perpendicular because the y=-7 is horizontal and the line x=4 is vertical. They intersect at a 90 degree angle

:D brainliest?

Step-by-step explanation:

This is not a linear equation!! You have to have 2 variables, y and x in the same equation in order for this to be made into a line.

You can use the equations y=kx for proportional lines or y=mx+b, which is slope-intercept form.

For example, y=2x-4.

Sorry I can't do more.

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

[tex]4 \times 2[/tex]

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

[tex]3 \times 2[/tex]

add both equations and you get

[tex](4 \times 2) + (3 \times 2)[/tex]

The answer is 14cm! Don't forget to label. ;)

The y-intercept is the Y coordinate when X = 0

replace x with 0 and solve for Y:

y = 3/2(0)-5 = -5

The first point using the Y-intercept would be (0,-5)

Now to find another point replace X with another number other than 0 and solve for Y.

Lets use 2:

y = 3/2(2) - 5

y = 3-5 = -2

The second point would be (2,-2)

Now plot those two points and connect with a line.

See attached picture of how it should look:

To get total miles traveled, multiply 30 miles per hour by number of hours.

The equation would be m = 30h

Answer:

The answer is m=30h

Your welcome :)

Answer:

D. 720 cm

Step-by-step explanation:

20/10 = x / 360

2 = x / 360

x = 360 * 2

x = 720

Answer

D. 720 cm

The circumference of a circle is greater than the length of any of its arcs. Without knowing what fraction of the circle's circumference the arc makes up, it's impossible to calculate the exact circumference from the arc length.

The arc length 's' is the distance traveled along a circular path, and the radius of curvature 'r', is the radius of the circular path. The circumference of a circle can be found using the formula 2πr, and the length AB, if it corresponds to the minor arc, can be the fraction of the entire circle. This fraction is determined by the relation between the length of the arc and the full circumference. Thus, if the length of AB is 20cm, then we can infer that 2πr (the full circumference) is greater than 20cm.

To find the exact value you'd need to know what fraction of the circle the minor arc AB represents. Without this information, we can only conclude that the length of the minor arc is smaller than the circumference (2πr) of the whole circle.

https://brainly.com/question/33875792

#SPJ11

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

Answer:

20 units

Step-by-step explanation:

The area of a parallelogram is A =b*h. Find the base and height by looking at the points. The distance between (2,1) and (7,1) is 5. The height between (9,5) and (7,1) must be found as a perpendicular height. It is 4 and is the distance between y coordinates or 5 - 1 = 4. See attached picture.

So the area is A = b*h = 5*4 = 20

Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think

Answer:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

Step-by-step explanation:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

IQR = Upper quartile - lower quartile

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil