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DanielleElmas [232]
3 years ago
6

You studied for 14 hours last week. What was your unit rate of hours of study per day?

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

The unit rate of hours is 2 per day.

There are 7 days in a week. You studied for 14 hours total. 14/7 is 2. So, 2hr/day.

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Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
Novosadov [1.4K]

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

<u>Solving for cos</u>θ

  • cos²θ = 1 - sin²θ
  • cos²θ = 1 - (0.27)²
  • cos²θ = 0.0729

<u>Finding tan</u>θ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

  • θ = tan⁻¹ (3.7)
  • θ = 74.88°
  • Range is : 0 < θ < π/2 [or 0 < θ < 90°]
  • It lies in the range [Verified]
7 0
2 years ago
Which phrase describes the algebraic expression B2+7?
svp [43]

Answer:

180

Step-by-step explanation:

3 0
3 years ago
I need help on this one <br> No rush but plz hurry I need it NOW‼️‼️
inessss [21]

Answer:

The  same (42 degrees)

Step-by-step explanation:

This is because the angles are congruent or the same.

3 0
3 years ago
Read 2 more answers
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought
djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 \times 2 = $6.5

Price of two drink = $1.85 \times 2 = $3.70

Price of two bags of popcorn = $0.99 \times 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0
3 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

3 0
3 years ago
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