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aniked [119]
3 years ago
7

What are the amplitude. Phase shift and midline if f(x) = 2 sin(x+pi)-4

Mathematics
1 answer:
kherson [118]3 years ago
7 0
Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios
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How many liters of pure water should be mixed with a 18-L solution of 80% acid to produce a mixture that is 90% water?
Sphinxa [80]

126 liters of pure water should be added

<em><u>Solution:</u></em>

Let "x" be the liters of pure water

Then, 18 + x is the liters of final solution

18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used

Pure water is 100%

Then according to question, we can say,

"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water

Thus we frame a equation as:

Equation:

water + water = water

x \times 100\% + 18 \times 20 \% = (18+x) \times 90\%

x \times \frac{100}{100} + 18 \times \frac{20}{100} = (18+x) \times \frac{90}{100}\\\\Simplify\ the\ above\ equation\\\\x + 0.2 \times 18 = (18+x) \times 0.9\\\\x + 3.6 = 16.2 + 0.9x\\\\0.1x = 12.6\\\\Divide\ both\ sides\ of\ equation\ by\ 0.1\\\\x = 126

Thus 126 liters of pure water should be added

8 0
3 years ago
A 12 foot ladder is leaning against the building. The ladder makes a 45° angle with the building. How far up the building does t
DaniilM [7]

check the picture below.


make sure your calculator is in Degree mode.

6 0
3 years ago
If the age of brother A is 3 years which is half of brother B i.e 6 years then what will be the age of brotherA when brother B i
saw5 [17]

The older brother was born three years before the young one, which means that their age will always differ by 3. Don't be fooled by the fact that, in this particular year, the age of the older brother is exactly twice the age of the younger! This is not a property that will be carried on with the years: for example, next years bother A will be 4 and brother B will be 7, and 4 is not half of 7!

So, since the property that remains constant is the three year gap, when brother B (the older one) will be 60 years old, brother A will be 3 years younger, as always, which means that he will be 57.

6 0
3 years ago
Read 2 more answers
Can someone please helppppp meeeeeeeee
love history [14]

Answer: AB is (-1, -11

              CD is (0, -1)

              EF is (-12, 5)

Step-by-step explanation:

.

7 0
3 years ago
Given right triangle ABC, what is the value of tan(A)? <br>o 15/13<br>o 12/13<br>o 12/5<br>o13/12​
m_a_m_a [10]

Answer:

12/5

Step-by-step explanation:

tan(a) = opp / adj

tan(a) = 24 / 10

tan(a) = 12 / 5

3 0
3 years ago
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