2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,​

Answer: Any number smaller than 6

3k - 6 < 12

(Add six to both sides)

= 3k < 18

(Divide by 3 on both sides)

= k < 6

Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.

Answer:

35

area of traingle b xh/2 5x4/2 - 10

area of square lxl - 5x5 -25

add- 35

Answer:

The answer would be 35.

Step-by-step explanation:

The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.

Answer: Is Square feet/minute if there is two of them the second one is Cubic feet/minute

Step-by-step explanation: feet/minute would cover anything linear {forward, backward, left, right}

square feet/minute would cover two-dimensional areas  {walls, floors, sides of buildings, etc.}

cubic feet/minute would cover three dimensional situations  {swimming pools, buckets, containers, etc.}

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Rewrite and add each vector:

[tex]p=\langle40cos70^\circ,40sin70^\circ\rangle\\q=\langle50cos270^\circ,50sin270^\circ\rangle\\r=\langle60cos235^\circ,60sin235^\circ\rangle\\p+q+r=\langle40cos70^\circ+50cos270^\circ+60cos235^\circ,40sin70^\circ+50sin270^\circ+60sin235^\circ\rangle\\p+q+r\approx\langle-20.73,-61.56\rangle[/tex]

Find the magnitude of the resulting vector:

[tex]||p+q+r||=\sqrt{x^2+y^2}\\||p+q+r||=\sqrt{(-20.73)^2+(-61.56)^2}\\||p+q+r||\approx64.96[/tex]

Therefore, the best answer is D) 64.959

Problem 2

Think of the vectors like this:

[tex]t=\langle7cos240^\circ,7sin240^\circ\rangle\\u=\langle10cos30^\circ,10sin30^\circ\rangle\\v=\langle15cos310^\circ,15sin310^\circ\rangle[/tex]

By adding the vectors, we have:

[tex]t+u+v=\langle7cos240^\circ+10cos30^\circ+15cos310^\circ,7sin240^\circ+10sin30^\circ+15sin310^\circ\rangle\\t+u+v\approx\langle14.8,-12.55\rangle[/tex]

Since the direction of a vector is [tex]\theta=tan^{-1}(\frac{y}{x})[/tex], we have:

[tex]\theta=tan^{-1}(\frac{y}{x})\\\theta=tan^{-1}(\frac{-12.55}{14.8})\\\theta\approx-40.3^\circ[/tex]

Don't forget to take into account that the resulting vector is in Quadrant IV since the horizontal component is positive and the vertical component is negative, so we will add 360° to our angle to get the result:

[tex]\theta=360^\circ+(-40.3)^\circ\\\theta=319.7^\circ[/tex]

Therefore, the best answer is D) 320°

Problem 3

Again, rewrite the vectors and add them:

[tex]u=\langle30cos70^\circ,30sin70^\circ\rangle\\v=\langle40cos220^\circ,40sin220^\circ\rangle\\u+v=\langle30cos70^\circ+40cos220^\circ,30sin70^\circ+40sin220^\circ\rangle\\u+v\approx\langle-20.38,2.48\rangle[/tex]

Using the direction formula:

[tex]\theta=tan^{-1}(\frac{y}{x})\\\theta=tan^{-1}(\frac{2.48}{-20.38})\\\theta\approx-6.94^\circ[/tex]

As the vector is located in Quadrant II, we need to add 180° to our angle:

[tex]\theta=180^\circ+(-6.94)^\circ\\\theta=173.06^\circ[/tex]

Therefore, the best answer is D) 173°

Problem 4

Using scalar multiplication:

[tex]-3u=-3\langle35,-12\rangle=\langle-105,36\rangle[/tex]

Find the magnitude of the resulting vector:

[tex]||-3u||=\sqrt{x^2+y^2}\\||-3u||=\sqrt{(-105)^2+(36)^2}\\||-3u||=111[/tex]

Find the direction of the resulting vector:

[tex]\theta=tan^{-1}(\frac{y}{x})\\\theta=tan^{-1}(\frac{36}{-105})\\\theta\approx-18.92^\circ[/tex]

As the vector is located in Quadrant II, we need to add 180° to our angle:

[tex]\theta=180^\circ+(-18.92)^\circ\\\theta=161.08^\circ[/tex]

Therefore, the best answer is C) 111; 161°

Problem 5

Using scalar multiplication:

[tex]5v=5\langle25cos40^\circ,25sin40^\circ\rangle=\langle125cos40^\circ,125sin40^\circ\rangle[/tex]

Since the direction of the angle doesn't change in scalar multiplication, it only affects the magnitude, so the magnitude of the resulting vector would be [tex]||5v||=125[/tex], making the correct answer C) 125; 200°

[tex]18 = 2\times 3 \times 3\\\\30 = 2 \times 3 \times 5\\\\\text{HCF}~ = 2\times 3 = 6[/tex]

Answer:

(- infinitysymbol,-5]

see image.

Step-by-step explanation:

Interval notation uses parenthesis or square brackets in the format:

( or [ begin , end )or]

Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"

see image.

Answer:

Step-by-step explanation:

7) m + 6 > 17

   m > 17- 6

8. 500 + p > 1500

9. Let cost of pencil be 'x' and it is 5 less than y

x < y -5

Cost of pencil and ruler is less than $ 30.

x + y < 30

10. r + 5 > 17

         r > 17 - 5

         r > 12

12.She is spending $ x. So, we have to subtract from $10.

10 -x < 5

Answer:x.

Step-by-step explanation:

Answer:

Median: 5

Interquartile range: 4

Have an amazing day!

Please rate and mark brainliest!!

Answer:

2,3,4

Step-by-step explanation:

Given data:

2,0,2,4,4,4,3,2,3,4,1,3,3,2

Solution:

Mode = Most often number

There are

4 = two's

1 = zero's

4 = four's

4 = Three's

1 = ones's

Hence the mode is:

2,3,4

~lenvy~

Answer:

13 a) 12% prefer pumpkin pie

   b) 6.4% prefer pumpkin pie

   c) 80% did NOT prefer raspberry pie

   d) 235 people would be expected to say that their favorite pie is apple

       or blueberry.

14 a) 20% prefer Marlin

   b) 12% prefer Dolphins

   c) 48.33% prefer seahawks or sharks as their mascot.

   d) 116 students would be expected to say that their favorite mascot is a

       Penguin.

15 a) 20% prefer Science fiction

   b) 46 people would be expected to report mystery as their favorite

       genre.

   c) 810 people would be expected to report drama, history, or romance

       as their favorite genre.

Step-by-step explanation:

13.  *There are a total of 125 participants or customers.*

a) 15/125 = 0.12 = 12%

   12% prefer pumpkin pie

b) 8/125 = 0.064 = 6.4%

   6.4% prefer pumpkin pie

c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.

    100/125 = 0.8 = 80%

    80% did NOT prefer raspberry pie

d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?

   Apple: 35/125 = 0.28 = 28%

   Blueberry: 14/125 = 0.112 = 11.2%

If there were 600 people:

    Apple: 600*0.28 = 168

    Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 67)

168 + 67 = 235

235 people would be expected to say that their favorite pie is apple or blueberry.

14. *There are a total of 60 students.*

a) 12/60 = 0.2 = 20%

   20% prefer Marlin

b) 14/60 = 0.12 = 12%

   12% prefer Dolphins

c) Seahawks: 9/60 = 0.15 = 15%

  Sharks: 20/60 = 0.33 = 33.33%%

   15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.

d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.

   Penguins: 5/60 = 0.083 = 8.33%

If there were 1,400 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 116)

116 students would be expected to say that their favorite mascot is a Penguin.

15. *There are a total of 75 people.*

a) 6/75 = 0.2 = 20%

   20% prefer Science fiction

b) Out of 500 people, how many would you expect to report mystery as their favorite genre?

   Mystery: 7/75 = 0.093 = 9.3%

If there were 500 people:

    Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a    

                                                        person, so it's rounded to 46)

46 people would be expected to report mystery as their favorite genre.

c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?

   Drama: 16/75 = 0.2133= 21.33%

   History: 12/75 = 0.16 = 16%

   Romance: 10/75 = 0.1333 = 13.33%

If there were 1,600 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a    

                                                        person, so it's rounded to 116)

   Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a    

                                                        person, so it's rounded to 341)

   History: 1,600*0.16 = 256

   Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a    

                                                        person, so it's rounded to 213)

341 + 256 + 213 = 810

810 people would be expected to report drama, history, or romance as their favorite genre.

Hope this helps!

Answer:

From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.

Step-by-step explanation:

Sorry if none of these answers have helped you.

Answer:

The 2nd offer - 3 pounds of apples for 5.76

Step-by-step explanation:

1. Find the unit price for the 1st offer.

The unit price is 1 pound of apples for $2.15.  <-- given information

2. Find the unit price for the 2nd offer.

We can set up a proportion to find the unit price.

3 pounds / $5.76 = 1 pound / $x

Let x = how much 1 pound of apples are for the 2nd offer

Cross multiply

3 · x = 5.76 · 1

Simplify

3x = 5.76

Divide both sides by 3 to isolate x

x = 1.92 = $1.92 for a pound of apples (2nd offer)

3. Compare the two offers' unit prices.

$2.15   <-- 1st offer

$1.92   <-- 2nd offer

The second offer is the better value because it costs less for each pound of apple.

I hope this helps and please mark me as brainliest!

Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

there will be your 1000 caterpillars

Answer:

12

Step-by-step explanation:

4a = b and A-41=b-5

a-41+5=b

a-36 =b

which means a+36 =4a

so 3a=36 and a=12

Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

Answer:

3x>18

Step-by-step explanation:

Three times the number x will be called 3x. If an expression is more or greater than a number, we use the greater symbol: >

So, we can write,

3x>18

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

Answer:

y = 5.5 ·x

Step-by-step explanation:

x= pounds purchased

y = cost in $

Given:

4 pounds for $22

x pounds for $ y

Find unit price so will know how much will pay for 1 pound

22/4 = 11/2 = $ 5.5 for 1 pound

Make a general formula :

y = 5.5 ·x

Answer:

I think 9 units is the correct answer

Answer:

its 15 units

Step-by-step explanation:

momma told me it was right

Answer:

10 inches by 8 inches

The length and with would be half the perimeter: 36/2 = 18

find 2 numbers when added together equal 18 and when multiplied together equal 80.

8 + 10 = 18

8 x 10 = 80

Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180

Answer:

unit price= $23.75

Step-by-step explanation:

$71.25/ 3

unit price means the price of 1

Answer:

D, E

Step-by-step explanation:

In the table, r = 3p, and by converse, p = 1/3r. These options are D and E

Answer:

This is not college level stuff.

But the answer is D. r = 3p and E. p =r/3

Step-by-step explanation:

As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and  so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.

Answer:

x=20

y and z=160

Step-by-step explanation:

the arc of the circle is congruent to the central angle therfore x is also 20

next for y and z we can tell they are congruent now to find the measure. we can tell A is 180 so we do 360-180-20=160

Answer:

(There's actually a few ways of solving this, but here's one)

Multiplying the second equation by 2.

EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.

(multiplying the second equation by -2 is the actual answer, my apologies)

Step-by-step explanation:

So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.

In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.

If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.

This is helpful because when you subtract this from the first one, you eliminate x.

4x + y = 4

-(4x + 12y = 48)

is

-11y = -44

Answer:

2/4 * 40 4/5 * 5/7 = 102/

7

= 14 4/

7

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

5

= 200/

5

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

4

* 204/

5

= 2 · 204/

4 · 5

= 408/

20

= 102 · 4/

5 · 4

= 102/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

5

.

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

7

= 102/

5

* 5/

7

= 102 · 5/

5 · 7

= 510/

35

= 102 · 5/

7 · 5

= 102/

7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

7

.

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

Answer:

O 21 your ita not correct

Using linear function concepts, it is found that consumption would increase by $800.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the function is given by:

C = 200 + 0.8Y.

Which means that the slope is of m = 0.8 per unit of Y.

For 1000 units:

0.8 x 1000 = 800.

Consumption would increase by $800.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer: 13

Step-by-step explanation:

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

Hope it helps!

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