Please help me!!!!!!

Your Answer should be 16

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

What is the diagonal?

A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect

at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],

[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]

So,

[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

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Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Answer:

$30.38

Step-by-step explanation:

Final Price = Original Price - Discount

Final Price = 75 - 41.25

Final Price = $33.75

Then its the additional 10%

So now you make your original cost $33.75 to make it easier so

Final Price = Original Price - Discount

Final Price = 33.75 - 3.375

Final Price = $30.38

Final Answer: $30.38

The final price Kelly will pay round to the nearest cent is $30 38¢

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Discount = 55%

Additional discount = 10%

Original Price of Blue Sandals = $75

Original Price of Tan Sandals =  $68

Since Kelly bought blue sandels,

So, discount on Blue Sandals = 55% of $75

⇒ discount on Blue Sandals = 0.55 * $75 = $41.25

So, Cost of Blue Sandals = $75 - $41.25

⇒ Cost of Blue Sandals = $33.75

Now there is additional discount of 10%

Additional discount = 10% of $33.75

⇒ Additional discount = 0.10% * $33.75

⇒ Additional discount = $3.375

Thus, Final Cost of Blue Sandals = $33.75 - $3.375

⇒ Final Cost of Blue Sandals = $30.375

Round to the nearest cent final cost of Blue Sandals = $30 38¢

Thus, the final price Kelly will pay round to the nearest cent is $30 38¢

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9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

Answer:

the third one

Answer:

4.8

Step-by-step explanation:

Answer:

r = 2

r = -1

Step-by-step explanation:

So first, we need to get this is order of: ax^2 + bx + c

3r^2 - 6 - 3r

3^2 - 3r - 6

the formula is: -b ± √b^2 -4ac/2a

"ax^2 + bx + c" = "3^2 - 3r - 6"

a = 3

b = -3

c = -6

-b ± √b^2 -4ac/2a

-(-3) ± √(-3)^2 -4(3)(-6)/2(3)

3 ± √9 + (-12)(-6)/6

3 ± √9 + (72)/6

3 ± √9 + 72/6

3 ± √81/6

3 ± 9/6

3 - 9/6

-6/6

-1 = r

3 + 9/6

12/6

2 = r

Formula down below --

                                      |

                                     V

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Answer: 18 by8

Step-by-step explanation:

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

Step-by-step explanation:

number of minutes I guess

Answer:

0.000032, 0.0000064

Step-by-step explanation:

Each is divided by 5

0.00032 and 0.00064

Think, each is divided by 5!

0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.

Posted By:

ehie, BenjiDev#3339

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

Answer:

It goes in 2 times

Step-by-step explanation:

Can i have branliest, so i can go up a rank?

Answer:

35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

i just finished answering the question

Answer:

C

B

B

C

Step-by-step explanation:

for the lazy ppl

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

Answer:

[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Step-by-step explanation:

To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].

Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:

[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]

[tex]=-cos(\pi)+cos(0)[/tex]

[tex]=-(-1)+1[/tex]

[tex]=2[/tex]

∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Hope this helps :)

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276