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The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

Answer:

d = √(x²~x¹)² + (y²-y1)²

Step-by-step explanation:

√(1--3)² + (7-2)²

the square root covers everything

then put this answer on the calculator

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help

Formula ->  [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Identify which is x and which is y

-> E (1,7) F(-3,2)

    |[tex]x_1[/tex]|[tex]y_1[/tex]|    |[tex]x_2[/tex]|[tex]y_2[/tex]|

-> [tex]D=\sqrt{(-3-1)^2+(2-7)^2}[/tex]

-> [tex]D=\sqrt{(-4)^2+(-5)^2}[/tex]

-> [tex]D=\sqrt{16+25}[/tex]

-> [tex]D=\sqrt{41}[/tex]

Answer:

∠U=70°

Step-by-step explanation:

[tex]Cos~U=\frac{32^2+40^2+42^2}{2(32)(40)}[/tex]

[tex]Cos~U=43/128[/tex]

∠ U=  [tex]Cos^{-1}(43/28)[/tex]

∠ U= [tex]70[/tex]

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hope it helps...

have a great day!!!

Answer:

∠U=70°

Step-by-step explanation:

hope it helps

Answer:

The variable of interest is NUMBER OF CREDIT CARDS. it is a QUANTITATIVE variable.

u=4

u<4

use a t1-84 go to stat, edit, input the table set into L1, back to stat, tests, t-test, data, u=4, list:L1, u<, calculate, enter that will give you a t0=-.62

p-value is in the range P-value>0.10

The P-value is GREATER than level of significance. DO NOT REJECT the null hypothesis. there IS NOT sufficient evidence to claim that the mean number of credit cards is LESS THAN 4.

Step-by-step explanation:

a. The first question in the study asked for the variable of interest. The variable is number of credit per participants. This variable is quantitative.

The null hypothesis has H0: u = 4

Alternative hypothesis = H1: u < 4

To solve the for the p value and the test statistic, more data would be needed for this question.

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Answer:

$3.50

Step-by-step explanation:

Store X:

0.15*35 = 5.25

35-5.25 = 29.75 dollars

Store Y:

0.05*35 = 1.75

35-1.75 = 33.25 dollars

Total difference:

33.25-29.75 = 3.50 dollars

Answer:

120 I think is the answer not sure tho sorry if u get it wrong

Step-by-step explanation:

Answer:

$100 + $375 + $41(4) = $516

$516 - $425 = $91

$91 / $5 = 18.2 cars

Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.

Answer:

c.

Step-by-step explanation:

First at all you need the half circle area formula:

(Pi*r2)/2 = 18Pi

After resolved this you have: r = 6, then diameter= 12

Then c) Its perimer is 40 because AB + CD + BC + AD = 40

Answer:

-9/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-12)/(0-(-2))

m=-9/(0+2)

m=-9/2

The slope of the line, given the point on the line and the y - intercept, is - 5. 33

The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.

The slope can be found in the slope - intercept formula form of :

y = mx + b

m is the slope

b is the y - intercept

We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:

6 = - 3 ( m ) + ( - 10 )

6 = - 3m - 10

- 3m = 6 + 10

- 3 m = 16

m = 16 / - 3

m = - 5. 33

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Answer:

24

Step-by-step explanation:

The explanation is 12/.5 = 24

P(1.6,-2.9) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.

Let P(x,y) be the circumcentre of △LMN. Then,

PL = PM = PN

Also, PL² = PM² = PN²

PL² = PM²

(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²

(x-3)² + (y+6)² = (x-5)² + (y+3)²

x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9

4x + 6y = -11   ---- (1)

Also, PM² = PN²

(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²

(x-5)² + (y+3)² = (x-8)² + (y+6)²

x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36

6x - 6y = 27   ---- (2)

Solve (1) and (2) simultaneously by elimination:

6 × (4x + 6x = -11)

4 × (6x - 6y = 27)

24x + 36y = -66

24x - 24y = 108

subtract:

         60y = -174

         y = -174/60

         y = -2.9

Put y = -2.9 into (1):

4x + 6x = -11

4x + 6(-2.9) = -11

4x - 17.4 = -11

4x = 6.4

x = 1.6

Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)

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Answer:

24.4 sq. ft.

Step-by-step explanation:

Area of a right square pyramid is:

A = a^2 + 2(a)*square root of ((a^2/4) + b^2)

A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26

A = 4 + 4*5.099

A = 4 + 20.396

A = 24.396 sq ft.

Answer:

5/8            

I had it                                                                        

Answer: 40

Step-by-step explanation:

HI!

1) first you would get any algebra calculator

2) punch in the numbers

3) get the answer

        -YOUR WELCOME

Answer:

(A) So since BE means cost = revenue, you just need to solve

6Q = 500,000 + 5Q

(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0

(C) find revenue for 100,000. If less than cost, shut down.

Answer:

24 miles....you travel 24 miles per hour

Step-by-step explanation:

you multiply your mph by the amount of hours to get the answer

the q3 is just above the median so

Step-by-step explanation:

its higher by 5

Answer: 3

Step-by-step explanation:

5 X 3/5 = 3

Answer:

[tex]x = \± 0.82[/tex]

[tex]y =-3.18 \ or\ -4.82[/tex]

Step-by-step explanation:

Given

[tex]y = 3x^2 + x - 6[/tex]

[tex]y = x -4[/tex]

Required

The solution

First, we equate both expressions.

[tex]y = y[/tex]

[tex]3x^2 + x - 6 = x - 4[/tex]

Subtract x from both sides

[tex]3x^2 - 6 = - 4[/tex]

Add 6 to both sides

[tex]3x^2 = 2[/tex]

Divide both sides by 3

[tex]x^2 = 0.667[/tex]

Solve for x

[tex]x = \± \sqrt{0.667[/tex]

[tex]x = \± 0.82[/tex]

To solve for y, we have:

[tex]y = x -4[/tex]

This gives

[tex]y = \± 0.82 - 4[/tex]

Split

[tex]y = 0.82 - 4 \ or\ -0.82 - 4[/tex]

[tex]y =-3.18 \ or\ -4.82[/tex]

Answer:

45 green candies did the cookie have.

Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.

Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.

From the concept of the similar triangle,

3/BD = BD/12

BD² = 12 × 3

BD² = 36

As triangle BDC is a right-angled triangle, use Pythagoras' theorem

m² = BD² + 3²

m² = 36 + 9

m² = 45

m = √45

m = 6.708

m ≈ 6.71

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Answer:

90

Step-by-step explanation:

4.5*4*5= 90

Answer:

quadrilateral is most specific