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s344n2d4d5 [400]
2 years ago
13

Find the missing side lengths. Leave your answers in simplest radical form.

Mathematics
1 answer:
saveliy_v [14]2 years ago
8 0
ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications



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What is the best estimate for the quotient 5,397 divided by 62
marysya [2.9K]

Answer:

The best estimate is 90.

Step-by-step explanation:

Given : Quotient 5,397 divided by 62 .

To find : The best estimate of the given situation.

Solution : We solve this by approximating the term and then divide to get solution.

Approximation is rounding off the number

→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.

→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.

Approximation of 5397 to hundredth is 5400

Approximation of 62 to tenth is 60

Now, divide 5400 by 60

\frac{5400}{60}= 90

Therefore, The best estimate is 90.

We can also cross check by actual division of 5397 by 62.

\frac{5397}{62}= 87.04

When we approximate 87.04 it round off to 90.

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3 years ago
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Unit activity: exponential and logarithmic functions
nirvana33 [79]

We will conclude that:

  • The domain of the exponential function is equal to the range of the logarithmic function.
  • The domain of the logarithmic function is equal to the range of the exponential function.

<h3>Comparing the domains and ranges.</h3>

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty

So the range of the logarithmic function is the set of all real numbers.

<h3>So what we can conclude?</h3>
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  • The domain of the logarithmic function is equal to the range of the exponential function.

If you want to learn more about domains and ranges, you can read:

brainly.com/question/10197594

3 0
2 years ago
A garden table and a bench cost $653 combined. The garden table cost $97 less than the bench. what is the cost of the bench?
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T is the cost of the table. B is the cost of a bench.

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