Which expression is equivalent to ...

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

-1 4 x y

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

i took the exam

Answer: 22.4 cm!

Step-by-step explanation:

If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Answer:

v = 7

Step-by-step explanation:

a. v = 5x + 2y

= 5 × 3 + 2 × -4

= 15 + -8

= 7

Sorry I know only the A one anyways , hope this helps :)

Answer:

Step-by-step explanation:

a  v = 5x+ 2y = 5*3 + 2*-4 = 7

b 3p(p+5) = 3p^2 =15p

c 4k = 44

k=44/4 =11

i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

Answer:

there are 25 nickels and 30 dimes

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Answer:

Step-by-step explanation:

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

To know more about length, refer here:

https://brainly.com/question/30177995

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Answer:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Step-by-step explanation:

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.