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find trapezoid sides from right triangle

base is 2 unit and the height is 6 unit

let's find hypothenus(trapezoid side)=x

x^2=2^2+6^2=40

x=2 square root of 10

let's sum of the trapezoid sides

2x+2 bases

4 square root of 10+(7unit+3unit)

4 square root of 10 +10

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

Answer:

rearrange in ascending order

15,19,21,25,27,28,36,37,40,42,45,50

using formula (n\2)th + (n/2)+1)th/2

(12/2)th + (12/2)+1)th/2

6th +7th/ 2

the 6th number=28and the 7th number=36

28+36/2

64/2

32

median =32

Answer:

14.25ft

171 in

Step-by-step explanation:

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Answer:

It is correct

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

Answer:

10) b = 6.25

11) y = -3.94

12) n = 4.16 repeating

13) a = -0.83 repeating

14) t = 0.9

15) h = -0.9

Hope this helps!

Answer:

104

Step-by-step explanation:

sso if you use the angle right it looks just right

Answer:

[tex] m\angle EFG = 52\degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]

[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]

[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]

[tex] (x+51)\degree =(5x +47)\degree [/tex]

[tex] x+51 =5x +47 [/tex]

[tex] x+51 - 47=5x - x[/tex]

[tex] 4=4x[/tex]

[tex] x=\frac{4}{4}[/tex]

[tex] x=1[/tex]

[tex] \because m\angle EFG = (x+51)\degree[/tex]

[tex]\therefore m\angle EFG = (1+51)\degree[/tex]

(plug x = 1)

[tex] \therefore m\angle EFG = 52\degree[/tex]

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Answer:

its b

Step-by-step explanation:

(9,-2)

Answer:

(9, -2)

Hope that helps!

Step-by-step explanation:

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

Answer:

50

Step-by-step explanation:

90-54=36

then u do 36-10 which will give u 26

that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got

Answer:

D

Step-by-step explanation:

i think because the range is 2 because it went up to plots and the domain stay in a flat line

Answer:

dont know what to do

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We use the formula:

a² + b² = c²

x² + 3² = 5²

x² + 9 = 25

x² = 16

[tex]\sqrt{x^2} =\sqrt{16}[/tex]

x = 4

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

Answer:

c

Step-by-step explanation:

interest = loan x interest x time

1200 x 0.09 x 5 = $540

Answer:

11x4=44

Step-by-step explanation:

Answer:

2/6 or 1/3 (simplified)

Step-by-step explanation:

each dice has 6 sides and there is one 3 on each die, so you would add 1/6 + 1/6 to get 2/6 which simplifies to 1/3

Answer:

2/12 or 1/6

Step-by-step explanation:

Answer:

OK

Step-by-step explanation:

What language us That

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

Answer:

2535 cm²

Step-by-step explanation:

Part 1

Cube root the ratio to find the length factor as volume factor = length factor³

∛512 : ∛2197 = 8 : 13

Part 2

Square the ration as area factor = length factor²

8² : 13² = 64 : 169

Part 3

Apply the ratio

64 : 169

960 / 64 = 15

15 x 169 = 2535

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation: