A straw is placed inside a rectangular box that is 10 inches by 6 inches by 7 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answer:

10.5 cm

Step-by-step explanation:

took the test

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

Answer:

80% increase

Step-by-step explanation:

There are two ways to do this

The first way is to set up a percent proportion

[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]

To find x, we can do:

x = [tex]\frac{72 * 100}{40}[/tex]

x = [tex]\frac{7200}{40}[/tex]

x = 180

72 is 180% of 40

There is an 80% increase.

The second way to do it (the way I find easier) is to use benchmark fractions:

We look at 40 and 72 and realize that (40 * 2) - 8 = 72

So 200% of 40 - 8 = 72

Then, we find out what percent of 40 is 8.

10% of 40 is 4

so that means 20% of 40 is 8 (10% * 2 = 4 * 2)

Then we do:

80 - 8 = 72

200% - 20% = 180%

72 = 180% of 40

Which is an 80% increase

Let me know if you have any questions

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Compare the given equation of the line y = 3x + 5 with the general equation.

y = mx + c

y = 3x + 5

The slope, m = 3

y-intercept = 5

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

( it's below)

Step-by-step explanation:

a. electron

b. proton

c. neutron

d. electron shell

Answer:

a:Electron

b:proton

C:neutron

d:electron shell

Answer:

Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).

Step-by-step explanation:

Hello!

So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.

(LEAST TO GREATEST):

3/2, 1 8/11, -28/5, -5.2

________________________________

(GREATEST TO LEAST):

-5.2, -28/5, 1 8/11, 3/2

________________________________

There you go, I hope this helps! Have a great day/night and stay safe! :)

Just pick the one that you were suppose to find the answer for. :)

Answer:

1/6 square miles

Step-by-step explanation:

lw=a

1*1/6=1/6

Answer:

1/6 square mlies

Step-by-step explanation:

respuesta : 8 espero tesirba

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

Explanation:-

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

Answer:

140

Step-by-step explanation:

You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.

Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

[tex]8x = 5*64[/tex]

Simplifying by 8

[tex]x = 5*8 = 40[/tex]

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

Answer:

whats the question

Step-by-step explanation:

Answer:

231

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you mean log₅(x) = 4, take the antilog₅ of both sides.

x = 5⁴

Answer:

<

Step-by-step explanation:

hhahaha

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

Answer:

46/100

23/50

46%

Answer:

bleh

Step-by-step explanation:

so that da other guy can get brainliest

Answer:

The bench costs $375

Step-by-step explanation:

t + b = 793

t = b+43

(b+43) + b = 793

2b + 43 = 793

2b = 750

b = 375

The bench costs $375

Answer:

it would be larger. the square footage is 56 square feet.

Step-by-step explanation:

What’s 59+(h-11) ??????

Answer:

90

Step-by-step explanation:

8 x 11 = 88

So now you have to add 2 to get to the nearest 10. ;)

Answer:

Slope of the line is 3

Y-intercept is (3/2) three-halves

Explanation:

I saw this also on Brainly! Hope this helps! :)

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer: 4

Step-by-step explanation: I think

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

Answer:

67%

350/ 210 -1 = .67 x 100%

Answer:

67%

Step-by-step explanation:

21/35

Answer:

61+x=180

x=180-61

x=119

y+39=90

y=90-39

y=51

Answer:

(a)119°

(b)51°

Step-by-step explanation:

(a)Subtract the given angle from 180.

=180°-61°

=119° (The supplement of 61° is 119°)

(b)Subtract the given angle from 90.

=90°-39°

=51° (The complement of 39° is 51°)