Write the expression with fewer terms:
10x 2x

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

Answer:

b

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

738.00 - 78.00 =  660

Am subtracting because he made a down payment so I can get  the remaining of the money.

Let x = # of months

You use the remaining of the money to divide by 30 because of his monthly payments.

660 / 30x =

x = 22

Divide by 30 to isolate the variable x.

Answer: $90.67

Step-by-step explanation:

Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.

The sales tax paid on the PlayStation can be calculated by the formula:

= Price of purchase * Sales tax percentage

= 1,099 * 8.25%

= $90.67

Answer:

He has 109 tickets left!

Step-by-step explanation:

ok, let's find out how many tickets he bought in total!

he bought: 9 packs with 16 tickets inside each pack

so...

9 x 16 = 144

144 - 35 = 109

Make sure to double check before writing it down!

Answer:

29.89%

Step-by-step explanation:

Step 1: We assume that 435 is 100% since it is our output value.  

Step 2: We next represent the value we seek with [tex]$x$[/tex].  

Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].  

Step 4: In the same vein, [tex]$x\%=130$[/tex].  

Step 5: This gives us a pair of simple equations:  

[tex]100\%=435(1)\\\\x\%=130(2)[/tex]  

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left-hand side) of both equations have the same unit (%); we have  

[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]  

Step 7: Taking the inverse (or reciprocal) of both sides yields  

[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]  

Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].

Answer:

∠1=102 ∠2=78

Step-by-step explanation:

Answer:

54 degrees.

Step-by-step explanation:

So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).

Given this, set these values equal to each other to get the value of a.

d = a + b

2a = (a+10)+44

2a = a + 54

a = 54

The measure of the exterior angle is 54 degrees.

Answer:

carl and ben aint human chief

Step-by-step explanation:

Answer:

1 11/12

because they ain't human chief ant answer

Answer:

{x,y} = {3,1}

Step-by-step explanation:

visit this for more info;

https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/

Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

Answer:

m<D = 34

Step-by-step explanation:

Exterior angles thm:

3x - 2 + 68 = 9x - 6

3x + 66 = 9x - 6

3x - 9x = -6 - 66

-6x = -72

x = 12

<D:

3x - 2

3(12) - 2

36 - 2

34

Answer:

4. - 3

5. 5 / 11

6. - 2

Step-by-step explanation:

4.

9 / x = - 3

x = 9 / - 3

x = - 3

5.

11 = 5 / x

x = 5 / 11

6.

- 2 = 4 / x

x = 4 / - 2

x = - 2

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

Answer:

10

Step-by-step explanation:

every day he doubles the number of sold cars compared to the previous day.

so the sequence goes along the powers of 2 :

1

2

4

8

16

32

64

128

256

512

1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.

but - maybe we reached the total of 1000 cars already before that.

as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.

e.g. 8 = 4 + 2 + 1 + 1

64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1

therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.

so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.

It takes 11 days for the salesman to sell at least 1000 cars.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.

The inequality is : a(1-rⁿ)/(1-r) ≥ 1000

In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:

1(1-2ⁿ) ≥ 1000

1-2ⁿ ≥ 1000

2ⁿ ≤ 999

Now we can take the log base 2 of both sides

n ≤ log₂(999) +1

n ≤  9.97+1

n ≤ 11

As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

x=32

Step-by-step explanation:

To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer:

1.37

Step-by-step explanation:

1

Answer:

the answer is in the picture above

Step-by-step explanation:

and so is the solution pls give branliest if you wish

Answer:

1.632 ft cubic

Step-by-step explanation:

Volume = width * height * length

Volume = 0.6 * 0.8 * 3.4

Volume = 0.48 * 3.4

Volume = 1.632 ft cubic

Hope this helps.....

Have a good day ahead :)

Answer:

y = 25

Step-by-step explanation:

Substitute x = 5 into the equation for value of y

y = 3(5) + 10 = 15 + 10 = 25

Answer:

cot(x)=-sqrt(3)/3

Step-by-step explanation:

I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.

Plug in:

sin^2(x)+(-1/2)^2=1

Simplify:

sin^2(x)+1/4=1

Subtract 1/4 on both sidea:

sin^2(x)=3/4

Square root both sides:

sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]

cot(x)=(-1/2)/(sqrt(3)/2))

cot(x)=-1/sqrt(3)

Rationalize denominator by multiplying by sqrt(3)/sqrt(3):

cot(x)=-sqrt(3)/3

cot(x)=

Answer:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Step-by-step explanation:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

Answer:

First box-time

Second box-distance

Third box-correlation

Step-by-step explanation:

Horizontal is along the bottom.

Vertical in going up.

Correlation shows the relation between the horizontal and vertical axis.