Find cos A if a=5, c=13

Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups

Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

Nia mixed 1 teaspoon salt with 3 cups warm water.
Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

$\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\$

Thus 1 : 3 is equivalent to the ratio $\frac{1}{3}:1$ , which means that Nia's solution has $\frac{1}{3}$ teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is $\frac{1}{2}:1\frac{1}{2}$ in Trey’s solution.

On dividing the amount of salt and the amount of water by $1\frac{1}{2}$ , the ratio will be the same.

$\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1$

So Trey’s ratio is also equal to the ratio $\frac{1}{3}:1$ .

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

4 0

3 years ago

At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps

Natali5045456 [20]

Answer:

50 percent

Step-by-step explanation:

3 0

3 years ago

Consider the equation -5\cdot e^{10t}=-30−5⋅e

yulyashka [42]

The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

<h3>What is Exponential equation?</h3>

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, given equation; (we are using n in place of t)

-5.e¹⁰ⁿ = -30

On dividing -5 both sides, we get

-5.e¹⁰ⁿ/-5 = -30/-5

e¹⁰ⁿ = 6

Taking 'ln' on both side, we get

10n = ln 6

n = (ln 6)/10

n = 1.791759/10

n = 0.179

Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

Learn more about exponential function from:

brainly.com/question/14355665

#SPJ1

4 0

3 years ago

The following pairs of equations are equivalent. Describe the operation that occurred in the second equation. 3+9=12 and 3+9-5=1

elena55 [62]

Answer:

See explanation

Step-by-step explanation:

A. Given the equation

$3+9=12$

Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation

$3+9-5=12-5$

B. Given the equation

$x-4=7$

Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation

$x-4+4=7+4$

C. Given the equation

$2(6)=12$

Using the division property of equality (dividing both sides of equation by 2), we'll get an equivalent equation

$\dfrac{2(6)}{2}=\dfrac{12}{2}$

D. Given the equation

$\dfrac{x}{2}=5$

Using the multiplication property of equality (multiplying both sides of equation by 2), we'll get an equivalent equation

$2\cdot \dfrac{x}{2}=2\cdot 5$

8 0

3 years ago

Whats the difference between a proper fraction and an improper fraction 10 POINTS

Svetach [21]

the difference between a proper fraction and an improper fraction is an improper fraction is a fraction that is bigger then the denominator for example 3/4 is a fraction and 7/4 is an improper fraction

6 0

3 years ago

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