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2 years ago

Find x. Leave answers in simplified radical form. (Step by step)

Mathematics

2 answers:

____ [38]2 years ago

8 0

Solution:

Step-1: Find the missing angle.

90 + 45 + y = 180
=> 135 + y = 180
=> y = 180 - 135
=> y = 45°

Step-2: Review the following.

This triangle is an isosceles right triangle because two angles are equivalent.
Two sides of the triangle must equal 4 cm.

Step-3: Use Pythagoras theorem.

x² = 4² + 4²
=> x² = 16 + 16
=> x = √32 ≈ 5.65 cm (Using calculator)

just olya [345]2 years ago

4 0

Answer:

$\sf x = 4\sqrt{2}$

Given:

adjacent: 4 cm
hypotenuse: x cm
angle: 45°

using cosine rule:

$\sf cos(x) = \dfrac{adjacent}{hypotenuse}$

$\sf cos(45) = \dfrac{4}{x}$

$\sf x = \dfrac{4}{cos(45)}$

$\sf x = 4\sqrt{2}$

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Marylee paid $40 for an item after she received a 20% discount. Marylee's friend says this means that the original price of the

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Answer:

Step-by-step explanation:

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2 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:51 Use the data set to determine which statements are correct. Check all that apply. 35,

Nady [450]

Answer:

The true statements are:

The median is 38.5.
There is an outlier.
The lower quartile is 29.
The upper quartile is 70.
The interquartile range is 41.

Step-by-step explanation:

The given data are: 35, 41, 18, 75, 36, 21, 62, 29, 154, 70

Make the data in order from the least to the greatest

18 , 21 , 29 , 35 , 36 , 41 , 62 , 70 , 75 , 154

So, the median of the data = (36 + 41)/2 = 38.5

We can deduce that The number 154 represents an outlier because the difference between 154 and 75 is much greater than the difference between the other data

If we divided the data to two groups , they will be:

(18 , 21 , 29 , 35 , 36) , (41 , 62 , 70 , 75 , 154)

So, The lower quartile Q1 is the median of the first group = 29

And the upper quartile Q2 is the median of the second group = 70

And the interquartile range = Q2 - Q1 = 70 - 29 = 41

So, the true statements are:

The median is 38.5
There is an outlier
The lower quartile is 29
The upper quartile is 70
The interquartile range is 41.

7 0

3 years ago

What is true about a figure dilated by a scale factor of 1

motikmotik

Just something that is true or are there choices? If just something true then dialated by 1 is always the same as the original shape.

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3 years ago

Given the graph below, write the piecewise function. How do I solve?

MaRussiya [10]

Answer:

for x < 0 x^2 - 2

for x $\geq$ 0 2x + 1

Step-by-step explanation:

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2 years ago

elect the correct answer. graph A graph B graph C graph D A credit card company uses these rules to calculate the minimum amount

laila [671]

The graph that correctly shows the minimum amount due for a credit amount (x) is graph B.

<h3>How to determine the graph with the minimum amount due?</h3>

First of all, we would assign a variable to the different amount of money as follows:

Let x be the credit amount.

Let y be the minimum amount due.

Translating the word problem into an algebraic expression, we have;

For a bill of less than $100, the entire amount is due:

0 ≤ x < $100, therefore, y = x

For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300:

$500 ≤ x < $1000, therefore, y = $300

For a bill of $1,000 or more, the minimum due is $500:

Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500

In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x) is graph B.

Read more on graphs here: brainly.com/question/16883029

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1 year ago