What is the surface area of this square pyramid

Answer:

(x+8)^2=77    and   x=negative 8±√77

Step-by-step explanation:

After watching a video, I got it right on Khan

The equation with completing the squares is (x + 8)² = 77.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 16x - 2 = 11

We can make complete squares.

x² + 16x - 2 - 11 = 0

x² + 16x - 13 = 0

x² + 2 x 8 x (x) -8² + 8² - 13 = 0

(x² + 16x + 8²) - 64 - 13 = 0

(x + 8)² - 77 = 0

(x + 8)² = 77

Thus,

The equation is (x + 8)² = 77.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

The base is 4.2426.

Step-by-step explanation:

Logarithm definition:

Suppose we have that:

[tex]\log_{a}{b} = c[/tex]

It means that;

[tex]b = a^c[/tex]

In this question:

[tex]\log_{x}{(5832)} = 6[/tex]

It means that:

[tex]x^6 = 5832[/tex]

[tex]x = \sqrt[6]{5832}[/tex]

[tex]x = (5832)^{\frac{1}{6}}[/tex]

[tex]x = 4.2626[/tex]

The base is 4.2426.

Answer:

The average repair cost per saw for the past month is 20.

The bound of error of estimation is ±10.

Step-by-step explanation:

a) Data and Calculations:

Industry        No.of saws   Total repair cost   Average

                                           for past month

1                            3                        50           16.67

2                           7                        110           15.71

3                          11                       230          20.91

4                          9                        140           15.56

5                          2                         60           30

6                         12                       280           23.33

7                         14                       240           17.14

8                          3                         45           15

9                          5                        60           12

10                         9                      230           25.56

11                          8                       140           17.50

12                         6                       130           21.67

13                         3                        70           23.33

14                         2                        50           25

15                         1                          10           10

16                        4                         60           15

17                       12                       280           23.33

18                        6                        150           25

19                        5                         110           22

20                       8                        120           15

Total               130                    2,565           19.73

Average = Sum of the total repair cost for past month divided by the number of saws repaired

= 19.73 (2,565/130)

= 20

The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean

= 30 - 20

= 10

The lower bound = 10

The bound of error is also = (30 -10)/2 = 10

Answer:

502 cubic feet

Step-by-step explanation:

The Volume of the tank is 502 cubic feet.

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = [tex]\sqrt{1156-256}[/tex]

     = [tex]\sqrt{900}[/tex]

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                           = [tex]\frac{1}{2}(30)(16)[/tex]

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

Answer:

m=√180

Step-by-step explanation:

n² = 6×24

n² = 144

m² = n² + 6²

m² = 144 + 36

m² = 180

m =√180

Answer:

It's D... Isosceles and right

Step-by-step explanation:

got it right on the quiz.

Answer:

2 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

First convert to mixed fractions 7 1/2-> 15/2

Then multiply by the reciprocal---> 15/2 x 4/3

The answer is 60/6

Then simplify---> 10/1 or 10

Answer:

2

Step-by-step explanation:

Answer:

5/6 x 2 2/5 = 2

Step-by-step explanation:

https://www.fractioncalc.com/

This calculator link will help you with fraction equations

:))

Answer:

A. 12 ft², 16 ft², and 20 ft²

Step-by-step explanation:

Answer:

Every quadrilateral's 4 angles add up to 360 degrees.

The four angles would be 100° + 7x +37 + 100° + 7x +37 = 360°

200° + 14x + 74° = 360°

14x = 360° - 274

14x = 86

x = 6.1428571429

Step-by-step explanation:

Answer: x=43/7

Step-by-step explanation:

One of the properties of the inner angle of a parallelogram is that the two angles on the same side add up to 180°

100+(7x+37)=180

100+7x+37=180

137+7x=180

137+7x-137=180-137

7x=43

x=43/7≈6.14

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Sorry but im struggling with this too :(

Answer:

Step-by-step explanation:

4x + y = 23

3x - y = 11

I got x = 34/7

Answer:it will be x= 34/7 and y= 25/7

Step-by-step explanation:4x+y=23for y:

4x+y=23

4x+y+−4x=23+−4x(Add -4x to both sides)

y=−4x+23

−4x+23foryin3x−y=11:

3x−y=11

3x−(−4x+23)=11

7x−23=11(Simplify both sides of the equation)

7x−23+23=11+23(Add 23 to both sides)

7x=34

7x

7

=

34

7

(Divide both sides by 7)

x=

34

7  

Step: Substitute

34

7

forxiny=−4x+23:

y=−4x+23

y=−4(

34

7

)+23

y=

25

7

(Simplify both sides of the equation)  

Answer:

x=

34

7

and y=

25

7  

Answer:

Area is 10x^2 - 4x + 6

Step-by-step explanation:

To find this area, multiply the width and height together:

(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6

Answer: 5 ounces

Step-by-step explanation:

volume is 20*250*2=10000 cubic mm

10,000*0.0005=5

Answer:

120 Miles

Step-by-step explanation:

Answer:

[tex]60%[/tex]%

Step-by-step explanation:

[tex]17+23=40[/tex][tex], 40[/tex] in total.

[tex]10+14=24[/tex], 24 students trying out.

24 of 40 as a percent[tex]=60[/tex]

Answer:

60%

Step-by-step explanation:

According to formula if finding percent, given number(10+14)divide by total number(17+23) multiply 100% which is 24/40*100= 60%

Answer:

I was trying to look up the answer to help out but I think I accidently found the answer key ill put it in the explanation

Step-by-step explanation:

https://www.louisianabelieves.com/docs/default-source/assessment/grade-7-answer-key.pdf?sfvrsn=e005981f_2

Answer:

603.35%

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, to determine what is the percentage in mark up, the following calculation must be performed:

1.49 = 100

8.99 = X

8.99 x 100 / 1.49 = X

899 / 1.49 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35%, which implies an increase of more than 6 times its initial value.

Step-by-step explanation:

-6-9<3x<21-9

-15<3x<12

1) -15<3x

-5<x

2) 3x<12

x<4

so the range of the solution is -5<x<4

Answer:

no solution

Step-by-step explanation:

The given equation is :

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

We need to solve the equation. It can be done as follows :

2-3x-12 = 9-3x

As -3x gets canceled from both sides. It means the given equation has no solution.

Answer:

[tex] \tan(55) = \frac{x}{8} \\ x = \tan(55) \times 8[/tex]

Answer:

D

Step-by-step explanation:

the 80*10=800

8 in 183= 80

8 in 4879 = 800

Answer:

The answer is C or B i dont really know

Step-by-step explanation:

Complete the table below to show the differences between algebraic

expression and equation.

Describe each to show their differences.

Give 3 examples of each.

Answer:

Explained below with examples

Step-by-step explanation:

1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.

Examples include;

>> 2x² − xy

>> 3ab + 2b²

>> x² + y²

2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).

Examples are;

>> 3y - y² = 2y² + 2

>> 3x - 4y = x + 2

>> 5a + 3b = 2b - 1

Answer:

smaller r =-21

larger r =-7

The vertex of the parabola is at

(-14,-49)