A jewelry store is featuring a diamond in the shape of a square pyramid. The side length of

the diamond is 8 millimeters and the slant height is 6 millimeters.

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

Leearn more here: https://brainly.com/question/13805464

2(z+10)

2z+20

Answer:

2z+20

Answer:

a^2 b^7

Step-by-step explanation:

I believe this is right

The correct answer is 90

Answer:

C

Step-by-step explanation:

because I took the test

Answer:

A .part of a line that has two end points

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

Answer:

Step-by-step explanation:

Divided the first 2 numbers by eachother and then by four use a calculator

Answer:

1146198.07

Step-by-step explanation:

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

Answer:

288

Step-by-step explanation:

you would do 180 devided by 3 then multiply that number by 5

The profit made id each sign is sold for $20 is $4460

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

Learn more : https://brainly.com/question/18109354

Answer:

$4,460

Step-by-step explanation:

I got a 100% on my test

Answer:

If the equation is actually typed like that the answer will be

3-2x

If is typed like this 3-2x-3+3=

It will be

-2x+3

Answer:

(6⋅2)−(9/3)

Simplify each term.

12−3

Subtract 3 from 12.

9

Step-by-step explanation:

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

Answer: Tammy would have 9

Step-by-step explanation:

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

Answer:

4.75

Step-by-step explanation:

Given:

[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.

Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.

[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]

[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].

Answer:

100-32=68

Step-by-step explanation:

there are 68 feets on the playground

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Answer:

I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am