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postnew [5]
3 years ago
11

Yogurt is an ever more popular food item. In 2002, American Dairy affiliates produced 2133 million pounds of yogurt. In 2007, th

is number rose to 3478 million pounds of yogurt.
a. Write two ordered pairs of the form (year, millions of pounds of yogurt produced).
Mathematics
1 answer:
Valentin [98]3 years ago
4 0
You would write your 2 ordered pairs based on the year and the amount of yogurt sold in that year.

The x-value (your first number in the ordered pair) the year and the y-value (the 2nd number in the ordered pair) the amount of yogurt.

(2002, 2133) and (2007, 3478) would be your 2 ordered pairs.
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You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression t
MatroZZZ [7]

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

<h3>What is the Sine and Tangent Ratios?</h3>

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

brainly.com/question/24137232

#SPJ1

8 0
2 years ago
A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
zavuch27 [327]

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

8 0
3 years ago
The difference of 8 less a number n, multiplied by twelve, is equal to 3 more than the number. Which of the following equations
makkiz [27]

Answer:

The equation that can be used to find the missing number is 96 - 12n = 3 + n

Step-by-step explanation:

The difference of 8 less a number n

This is 8 - n

Multiplied by twelve

This is:

12(8 - n) = 96 - 12n

Is equal to 3 more than the number.

96 - 12n = 3 + n

The equation that can be used to find the missing number is 96 - 12n = 3 + n

3 0
3 years ago
Read 2 more answers
A giraffe can travel 800 feet in 20 seconds. Write a direct variation equation for the distance traveled any time | Please expla
Diano4ka-milaya [45]
The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft

Hope this helps!
8 0
3 years ago
Someone please help me ?? ​
KATRIN_1 [288]

Answer:

A filled in circle indicates "or equal to" in a graphing situation. If it's open it means anything less than or greater then that number depending on whatever your graph looks like.

Hopefully this helped!

5 0
3 years ago
Read 2 more answers
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