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9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

Answer:

protons- (i hope this helps!) Im sorry if this is wrong!

Step-by-step explanation:

I think its the answer i have the same question and i don't know it so...

Answer:

145

Step-by-step explanation:

The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.

Answer:

5670 usd

Step-by-step explanation:

27000×0.21=5670

Answer:

663

Step-by-step explanation:

ratio of Malay = 5

ratio of Indian= 4

ratio of Chinese= 8

Total number of Indian + Chinese= 468

Total ratio= 5+4+8= 17

Let the total number of students= X

Ratio of India= 4/17 × X=

Ratio of Chinese= 8/17 × X=

Addition of ratio of both India and Chinese=

4X/17 + 8X/17= 468

(4X +8X)/17 = 468

12X/17= 468

X= 663

Hence, total number of students is 663

Answer:

1 : 7

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

divide 42 by 6 to get how many he can do in one hour

42/6=7

7:1

Answer:

B) 1/5

Step-by-step explanation:

Remy has 2 taxis, and 10 cars in all. It is asking for the probability that Remy will choose a taxi. Divide the amount of taxis from the total amount of cars. Simplify the fraction:

2/10 = (2/10)/(2/2) = 1/5

B) 1/5 is your answer.

~

Answer:

Mmmmm maybe is A 1/10 por que se suman todas las posibilidades y luego se le coloca la cantidad que podria elegir

Answer:

It's $499, unless you don't care about having a disc drive, then it's $399. That simplicity was by design, said Sony ...

Answer: a is 4 mm, c is 8 mm

Step-by-step explanation:

the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side  is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.

the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse

divide the adjacent side by [tex]\sqrt{3}[/tex]  and we have the opposite side: 4

the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm

170 ..I think I'm correct

Answer:

78

Step-by-step explanation:

Formula is already provided

2pir

2×3×13

The answer is 0

0+0=0

9514 1404 393

Answer:

  B)  3.2%

Step-by-step explanation:

The future value is given by ...

  A = P(1 +r)^t

Filling in the given information, we can solve for r.

  4097.01 = 3500(1 +r)^5

  4097.01/3500 = (1 +r)^5 . . . . divide by 3500

  (4097.01/3500)^(1/5) = 1 +r . . . . take the 5th root

  (4087.01/3500)^(1/5) -1 = r ≈ 0.032 = 3.2%

The annual interest rate on this account is 3.2%.

Answer:

A

Step-by-step explanation:

Answer:

I can answer if you make me brainliest

9514 1404 393

Answer:

  $850

Step-by-step explanation:

The amount of interest earned is ...

  I = Prt . . . . . on principal P at annual rate r for t years

Using the given values, the interest earned is ...

  I = $2000·0.0425·10 = $850

The interest Rozlyn's account earns in 10 years is $850.

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

[tex]x^{2}-3x-28[/tex]

Answer:

48 outfits

Step-by-step explanation:

Using Fundamental Principal of counting

number of outfits that Juan can wear

=number of ties * number of pants * numberof pants

=4*3*4

=48 outfits

The number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

The arrangement of different things or numbers in a number of ways is called a combination.

A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.

Given that Juan has four ties, three shirts, and four pairs of pants.

Using the Fundamental Principle of counting,

Number of outfits that Juan can wear

N =number of ties x number of pants x number of pants

N =4 x 3 x 4

N =48 outfits

Therefore, the number of different outfits can he wear if he chooses one Tie, one shirt, one pair of pants for each outfit is 48 outfits.

To know more about permutation and combination follow

https://brainly.com/question/4658834

#SPJ2

Answer:

D, all the students in each grade

Step-by-step explanation:

Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.

Answer:

441 square feet

Step-by-step explanation:

Answer:

  x° ≈ 51.1°

Step-by-step explanation:

In this geometry, you are given the side opposite the angle, along with the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 14/18

  x° = arcsin(14/18) ≈ 51.0576°

  x° ≈ 51.1°

√6x^3y^2

Step-by-step explanation:

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

Answer:

6

Step-by-step explanation:

Answer:

(7x+3)(-x-3)

Step-by-step explanation:

-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x

Answer:

603.71

Step-by-step explanation:

Use a function to solve this.

F(x)

Now lets put in the data for the function.

We have 910, which is the orginal number. This should be the first number, and will have to be multiplyied by the other numbers in the function to find the answer. I think of all these numbers like the things in a penut butter and jelly sandwhich, is sounds very nice since I am hungry.

F(x) = 910 *

Next, we have 5%, which is what we are taking from 910. So, we can think of this as 910 being multiplyied by 0.95. Lets add this to our growing penut butter and jelly sandwhich. The reason I put this into a parenthese is so that the 910

F(x) = 910 * (0.95)

Now for the last step, we must add in the years. So, eahc year we reduce the 910 by 5%, and we need to do this 8 years This means that the 910 times 0.95 must repeat 8 times. To do this, we need ot use exponent. This exponent is 8. So, here is our completed function:

F(x) = 910 * (0.95^8)

Lets plug this into a calculator, since doing this out on paper would be a real pain and will take far to long. I would probably die of hunger and never get a penut butter and jelly sandwhich if I did this out on paper.

In the end, you should get 603.7125 blah blah blah it goes on for a long time. I attached a file of what it looks like in the calculator if you want some evidence.

Oh, you said you want it rounded to the nearest whole number. Well, lets remember our rounding here. Anything below 5 goes down, anything 5 and higher goes up. Since we have 603.7125, we can round that too 603.71

Answer:

603.71

Ti⊂k∫∈s ω∅∅p

Im gonna go grab my PBJ now.