An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

Answer:

y= -.5x+2

Step-by-step explanation:

Answer:

448000

Step-by-step explanation:

First 10^4 is just 10*10*10*10=10000

44.8*10000 = 448000

Hope this helped!!

Answer:

4.48 x 10^5

Step-by-step explanation:

44.8 x 10000 = 448000 = 4.48 x 10^5

Answer:

Step-by-step explanation:

A

Answer:

It is a not a Function.

Because one number has two arrows pointing to two different numbers.

Answer:

No

Step-by-step explanation:

(the image is fuzzy so you can't really see the lines)

It seems that when x = 1, f(x) is both 4 and 5.

While two different x values can equal the same y value, one single x value cannot be equal to more than one value.

If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.

Answer:

34,567-22,999=11,568

Answer:

not positive but i would say 48

Step-by-step explanation:

Answer:

32x+256

Step-by-step explanation:

Answer:256+32x

Step-by-step explanation:

Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

i took the quiz

Answer:

6⅓ The answer is not in the options..

Step-by-step explanation:

6x = 38

x = 38÷6

x = 6 ⅓ / 6.33333..

Answer:

17% of 13 is 2.21

13 + 2.21 = 15.21

Step-by-step explanation:

Joseph's lunch costs = $13 without taxes

He leaves tip for the waiter = 17% of cost of the lunch

= 17% of $13

= 13 ×  

= ( 13 × 0.17)

= $2.21

Total cost of lunch + tip = 13 + 2.21

                                      = $15.21

Answer:

Step-by-step explanation:

100=10+5x  x is the hours she needs to babysit

90=5x

x=18

She needs to babysit for 18 hours at $5 an hour if she already has $10

Answer:

Blue car: 30.8 miles per galon

Red car: 27 miles per galon

Blue car can travel longer distances on one galon!

Step-by-step explanation:

Blue car:

38 1/2=77/2=38.5 miles

1 1/4=5/4=1.25 gasoline

38.5/1.25=30.8miles per galon

Red car:

21 3/5=108/5=21.6 miles

4/5=0.8 gasoline

21.6/0.8=27 miles per galon

Answer:

all three are correct

Step-by-step explanation:

Answer:

1,600,000

Step-by-step explanation:

Answer:

1001600

Step-by-step explanation:

Answer:

The slope is 3/4

Step-by-step explanation:

You can Y2-Y1/X2-X1 to find the answer to this question

Since the points are (-2,3) and (2,6) it will be..

6-3/2+2   ** the 2 becomes a plus in the denominator because negative and negative is positive

3/4 is the slope

Answer: I think the answer is 32 bacteria after 40 minutes.

Step-by-step explanation:

I think that's right because the bacteria that have previously multiplied will also be multiplying. 2 becomes 4, 4 becomes 8, etc. until you've reached 40 minutes. (I'm honestly unsure, but I think this is right?) I hope this helped!

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

Answer:

the same type of skin on your lips is the same type of skin on you bo- it wont let me say it haha

Answer:

What's the best thing about Switzerland.

Answer:

I don't know, but the flag is a big plus.

Step-by-step explanation:

Answer:

Yeah, I also got 2.4 percent..

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

Answer:

Step-by-step explanation: