Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3)−9= 8 2 ÷ 4 × ( 2 + 3 ) − 9 = Ʃ 789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]

So, the height of right circular cone is h = 15.416 cm

we have a formula for the distance between two poits

AB=[tex]\sqrt{(5-2)^2+(10-2)^2}[/tex]

AB=[tex]\sqrt{3^2+8^2}[/tex]

AB=[tex]\sqrt{9+64}[/tex]

AB=[tex]\sqrt{73}[/tex]

AB=8.54400

AB≈8.54

Answer:

X = root 73

Step-by-step explanation:

Basically you have to use the slope formula and slope intercept aka y = mx+b to find the equation. The equation is: 8/3x minus 10/3 and if you were to set this equation to zero and plug in root 73 you would get 0 meaning this answer is true/right.

Answer:

actually it is a simultaneous equation from linear combinations

Understanding:

The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

Solution:

Our start point is 1, [tex]a=1[/tex],

The common ratio is 5, [tex]r=5[/tex],

And finally, the number of terms is 7, [tex]n=7[/tex].

[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]

The answer is [A] 19531.

Answer: 3.35

i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50

Answer:

25.50

Step-by-step explanation:

You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

3

Step-by-step explanation:

Answer:

1,5,9,13,17,21,25,29

Step-by-step explanation:

From the information given.

Let represent the number of white beads with x and the number of blue beads with y. So, the beads can be illustrated as:

bead   color

1             x

2            y

3            y

4            y

5            x

6            y

7            y

8            y

Suppose n denotes the no. of beads that are white.

Then the subsequent no is ( n + 4).

Since the first number n = 1

Then the subsequent numbers will follow the pattern of adding 4 to the number.

i.e.

n = 1 + 4 = 5

n = 5 + 4 = 9

n = 9 + 4 = 13

n = 13 + 4 =1 7

n = 17 + 4 = 21

n = 21 + 4 = 25

n = 25 + 4 = 29

Thus, the number for the first eight beads that are white are:

1,5,9,13,17,21,25,29

The pattern shows odd numbers only.

Answer:

The ratio 90: 105 is not equivalent to 15: 18 ⇒ C

Step-by-step explanation:

Let us simplify the given ratio to its simplest form first

∵ The ratio is 15: 18

∵ 15 and 18 have a common factor 3

→ Divide each term of the ratio by 3

∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6

∴ The simplest form of ratio 15: 18 is 5: 6

Let us find which choice will not give us the same ratio 5: 6

∵ 60: 72 have a common factor 12

→ Divide each term of the ratio by 12

∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6

∴ The simplest form of ratio 60: 72 is 5: 6

∴ The ratio 60: 72 is equivalent to 15: 18

∵ 35: 42 have a common factor 7

→ Divide each term of the ratio by 7

∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6

∴ The simplest form of ratio 35: 42 is 5: 6

∴ The ratio 35: 42 is equivalent to 15: 18

∵ 90: 105 have a common factor 15

→ Divide each term of the ratio by 15

∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7

∴ The simplest form of ratio 90: 105 is 6: 7

∴ The ratio 90: 105 is not equivalent to 15: 18

Answer:

[tex]\dfrac{7}{9}[/tex]

Step-by-step explanation:

[tex]\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1[/tex]

[tex]\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5[/tex]

Putting it in matrix form

[tex]\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}[/tex]

From Cramer's rule we have

[tex]x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7[/tex]

[tex]y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9[/tex]

Verifying the results

[tex]\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}[/tex]

[tex]\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Hence, the fraction is [tex]\dfrac{7}{9}[/tex].

Unit rate = cost / quantity

Lower unit rate is better deal.

3.50/10 = 0.35

2.40/6 = 0.40

The original 10 for 3.50 is the better deal.

Answer:

As we know that

Unit = Rate/Quantity

[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]

[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]

The original deal was better because it was cheap than new deal.

Answer: Just dropout

Step-by-step explanation: What kinda classes are you taking

Answer: do it by your self and marry Christmas you filthy animal.

Step-by-step explanation:

Answer:

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

Answer:

15 and 8

Step-by-step explanation:

Answer:

In think is the first one

Answer:

time the number together

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

7*2 - 2*2 = 14 - 4 = 10

Plz mark as brainliest!

Answer:

10

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

(NOTE: Do you mind marking me as Brainliest?)

Answer:

I think the first one is 4 and the second one is 2

Step-by-step explanation:

what is the price of the chian

Answer:

x = 7

Step-by-step explanation:

From the above question, we are told that:

∠A and ∠B vertical angles.

It is important to note that vertical angles are equal to each other

Hence:

∠A = ∠B

From the question,

∠A = (5x−2)°

∠B = (3x+12)°

Hence:

(5x−2)°= (3x+12)°

5x - 2 = 3x + 12

Collect like terms

5x - 3x = 12 +2

2x = 14

x = 14/2

x = 7

Answer:

X=14

Step-by-step explanation:

Answer:

1. The fraction is 11/9

Step-by-step explanation:

You didn't specify which ones you need help with so I'm answering the first one for you.

let x=1.2 —equation 1

10x=12.2 —equation 2

subtract equation 1 from 2

10x-x=12.2-1.2

9x=11

x=11/9

Step-by-step explanation:

x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)

4x+5+6=2x+2.5+9

4x+11=2x+11.5

-11         -11

4x=2x+0.5

-2x    -2x

2x=0.5

x=0.25

The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Given:

Each triangle = 2.5 pounds

Each circle = 3 pounds

Each square = x pounds

The hanger has two sides

Side 1:

squares = 4

Triangle = 2

Circle = 2

Side 2:

Squares = 2

Triangle = 1

Circle = 3

The equation:

side A = side B

4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)

4x + 5 + 6 = 2x + 2.5 + 9

4x + 11 = 2x + 11.5

x + x + x + x + 11 = x + x + 11.5

Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Read more:

https://brainly.com/question/16450098

Answer:

k = 1

Step-by-step explanation:

so we basically have to solve for k

13 = 4k + 9

subtract 9 from both sides

4 = 4k

divide both sides by 4 to get k by itself

4/4 = 1

4k / 4 = 1k = k

1 = k

hope this helps <3

Answer:

$61.25

Step-by-step explanation:

Given that:

There are 5 persons (Martha and 4 other friends)

Fee for admission for each person = $3.50

Price for snacks for each person = $2.50

Price for drinks for each person = $1.50

Price for frappucino for each person = $4.75

All the money was paid by Martha.

To find:

Total money paid by Martha.

Solution:

First of all, let us find the total cost for one person.

Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25

There are a total of 5 persons.

Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25

Total money paid by Marth = $61.25