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3 years ago

A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

1.6 cups of vinegar for 4 cups of soap.

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please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss

beks73 [17]

Answer:

The Value of $a=\frac{15}{4}$ .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

$sin\ \theta = \frac{opposite\ side}{Hypotenuse}$

$sin \ S= \frac{PQ}{QS}$

Substituting the given values we get;

$sin\ 30\°=\frac{x}{15}$

Now we know that;

$sin\ 30\° = \frac12$

So we can say that;

$\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}$

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

$Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\$

$Cos\ Q = \frac{QR}{PQ}$

Substituting the given values we get;

$cos 60\°= \frac{a}{x}$

Now we know that;

$cos 60\°= \frac12$

$x=\frac{15}{2}$

So substituting the values we get;

$\frac{1}{2}=\frac{a}{\frac{15}{2}}$

By Using Cross Multiplication we get;

$a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}$

Hence The Value of $a=\frac{15}{4}$ .

6 0

3 years ago

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table.

vova2212 [387]

The probability that a randomly chosen person from this group has type B is 3/25

The probability that a randomly chosen person from this group has type AB is 1/25

The probability that a randomly chosen person from this group has type B or type AB blood is 4/25

8 0

3 years ago

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What are the two major theories of how Native American arrived in the Western Hemisphere? Which is the most popular and also exp

Virty [35]

The land bridge (Bering strait) and the crossing from Canada

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3 years ago

Explain why the Annual Percentage Rate does not compare loans for different lengths of time.

Vika [28.1K]

APR is different than other compounding periods because you would need to find some equivelancy to compare things at.

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3 years ago

A. $35.00

liraira [26]

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

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3 years ago