Find the length of side x in simplest radical form with a rational denominator

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

Answer:

x = 2√3

Step-by-step explanation:

x² = √6² + √6²

x² = 6 + 6 = 12

x = √12 = 2√3

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

Answer:

135

Step-by-step explanation:

135+45=180

Answer:

a peicewise function with seperate pieces of linear and step functions

Step-by-step explanation:

The statement that describes the function is: (a) a piecewise function with separate pieces of linear and step functions

From the attached graph, we have the following highlights

This means that: the function is best described by the given graph is statement (a)

Read more about piecewise and step functions at:

https://brainly.com/question/13907972

Answer:

2/5 of hangar a = hangar b

Step-by-step explanation:

I do know the first figure is 24 square feet.

To get your answer,

Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.

Image Form:

l x w = a

(length x width = area)

I hope this is a clear explanation!

Answer:

first one is 24

second one is 12

third one is 9

fourth one is 18

Step-by-step explanation:

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

Answer:

AB<BC

Step-by-step explanation:

Just put that answer hope I helped!!

Answer:

30

Step-by-step explanation:

5x6=30

Answer:

sec y = x+1 + ce x ; c is constant

Hope it helps....

Answer:

first 2 , second 50, third 8

Step-by-step explanation:

Answer:

good

Step-by-step explanation:frog

Answer:

U10 = 19

Step-by-step explanation:

The sequence is [tex]Ux=(x*2)-1[/tex]

x is the coefficient to U.

So, [tex]U10=(10*2)-1[/tex]

Which means [tex]U10=20-1[/tex]

Which means [tex]U10=19[/tex]

And there is your answer.

Hope this helps. Have a nice day.

Answer:

≈ 53.7° (Option 3)

Step-by-step explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.

[tex]=> \tan x = \frac{15}{11}[/tex]

Using inverse tan function , lets find x.

[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°

Adding K shifts the graph up that many units.

The vertex of f(x) is at y = -3

The vertex of g(x) is at y = 1

This as a 4 unit shift upwards.

K = 4

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

Answer:

a and c

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

16=n +10

subtract 10 from both sides and your left with 6=n

Answer:

£14.85

Step-by-step explanation:

The total number of tiles needed

= 5 × 3

= 15

∴ The total cost of the tiles

= £0.99 × 15

= £14.85

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

Answer:

a.. 8% of ? = 20    240

b.75% of ? = 30    40

c. 20% of ? = 45   225

d. 150% of ? = 36  24

The steps of  answer is in attached file

Hope it helps..

Have a great day : )

Answer:

p=-6

Step-by-step explanation:

So we need to get p by its self so we have to to divide both sides to get the answer. 7p=-42 so p= -6 because we divided -42/7