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Romashka-Z-Leto [24]
3 years ago
5

It takes 12 minutes to fill an entire bathtub using both the cold and hot water. if just the cold water is used, it takes 18 min

utes to fill the bathtub. how long would it take to fill the bathtub if just the hot water were used?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0
Roughly 30 minutes to fill the bathtub due to vaporization.
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Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
Eddi Din [679]

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = sin^{-1}(\frac{14}{20})

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = cos^{-1}(\frac{14}{20})

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

3 0
3 years ago
The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total a
Julli [10]

The​ loan's future value​ A, or the total amount due at time t is $1105.

Given, P = ​$1000​, r = 3.5​%, t = 3 months.

We need to find the loan's future value A.

<h3>What is Simple interest?</h3>

Simple interest is computed on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, therefore an account holder will only get interest on the principal, and a borrower will never have to pay interest on previously collected interest.

We know that, Simple Interest=\frac{P\times\ T \times\ R }{100}

Now, Simple Interest=\frac{1000\times3\times3.5}{100\times12}

=\frac{10,500}{100} =105

As we know, Amount=Principal+Simple Interest

=1000+105=1105

Hence, the​ loan's future value​ A, or the total amount due at time t is $1105.

To know more about simple interests visit:

brainly.com/question/25663053?referrer=searchResults

#SPJ1

6 0
2 years ago
Choose all the numbers that are common multiples of 3 and 12
Andre45 [30]

Answer:

Step-by-step explanation:

-48

-72

-84

basically if its divisible by 12 its divisible by 3

6 0
3 years ago
5 in.<br> 256 in2<br> 160 in2<br> 8 in.<br> 4 in.<br> 288 in2<br> 96 in<br> 4 in.<br> 8 in.
masya89 [10]
This isnt a question its just all numbers and inches what did u want to get from that?
8 0
3 years ago
lisha is making headbands using ribbon. she would like to make 12 head bands. Each one requires 15.5 inches of ribbon. She estim
katrin2010 [14]
No her estimate is to low because if you multiply 15.5 by 12 you get 186
8 0
3 years ago
Read 2 more answers
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