URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!
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Step-by-step explanation:
Given that,
Perpendicular = 17 units
Hypotenuse = 25 units
We need to find the value of x.
Using Pythagoras theorem to find x.
Hypotenuse² = base²+perpendicular²
25² = x² + 17²
x = 18.3 units
So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.
Related Questions
A pie was cut into 8 equal slices. If Ruben ate 3/4 of the pie, how many slices did he ate? Explain your answer using a number line and words.
Write 9(39) using the Distributive Property. Then simplify.
. Find x: 3x − 14 + 6 − 4 − 2x = 12
A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x. Write and simplify a function P that represents the profit made from selling x bracelets. How many bracelets must the company sell to break even? Keep answer simple
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Answer:
The other line is y= 8x - 7
Step-by-step explanation:
The given equation in two variable is
y= 8x ± 7
The two equations in two variables are:
Ax + By +C=0
P x + Q y +R=0
Now, the condition that these two equations has no solution is if;
A/P = B/Q ≠ P/R
Another condition is in terms of line , if the two lines have same slope.
For example, y= ax + b and , y = ax + p are two lines having same slope means they are parallel, that is they will never intersect.
If the line is , y = 8x + 7, the other line will be, y= 8x - 7
Answer: Y = 8X - 7
Step-by-step explanation:
A system of equations with no solution, means the two lines are parallel to each other.
If parallel to each other, they will have common gradient but different intercept.
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Answer:
0.8% is a probability that a calculator chosen at random will be defective
Step-by-step explanation:
Probability of any event is given by:
where, A is any event.
As per the statement:
In a batch of 960 calculators, 8 were found to be defective.
here,
A = Defective calculator.
⇒Number of defective calculator = 8
and
Total number of outcomes = 960 calculators.
then by definition we have;
Simplify:
= 0.833333333 %
Therefore, a probability that a calculator chosen at random will be defective to the nearest tenth place is, 0.8 %
Probability:
0.00833...
As a Percent:
0.00833....× 100
0.833%
To the nearest tenth of percentage:
0.833% ≈ 0.8%
Movie B-
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X = 2y + 33
3y - × = 57
x- 2y = 33
-× + 3y = 57 => y = 90
=> x 33 + 180 = 213
a=33+2b & 57=3b-a
for this to work we need to substitute a variable to get rid of it.
look at
57=3b-a (lets switch it around s that the equation reads "a=")
57+a=3b
a=3b-57 (this is our new equations)
so now we know that
a=33+2b & a=3b-57
so we can write 33+2b=3b-57. we have now "gotten rid" of "a"
SOLVE FOR B
33+2b=3b-57 (get variable alone)
33= 3b-2b-57 (subtract and add accordingly)
33= b-57
33+57=b
90=b (this means that movie b is 90 long)
SOLVE FOR A
you can plug "b" into any of the original equations.
a=33+2b
a=33+2(90)
a=33+180
a=213
CHECK
plug "a" into any of the original equations to find "b" if b=90 then you know you've done it right
213=33+2b
213-33=2b
180=2b
180/2=b
90=b
hope this helps :)
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Answer: Price (P) = 0.025n + $2.75
Step-by-step explanation:
a) Based on the data provided, a line model will reasonably fit the data. The given data points form a consistent pattern, where the number of pages increases linearly with the price.
b) To find an equation for price in terms of the number of pages, we can use the slope-intercept form of a linear equation: y = mx + b.
Let's use the data points to determine the slope (m) and y-intercept (b) of the equation.
Using the points (100, $5.25) and (400, $12.75):
Slope (m) = (12.75 - 5.25) / (400 - 100) = 7.5 / 300 = 0.025
Now, let's substitute one of the data points into the equation to solve for the y-intercept (b). Let's use the point (100, $5.25):
$5.25 = 0.025(100) + b
$5.25 = 2.5 + b
b = $5.25 - $2.5 = $2.75
Final answer:
The relationship between the number of pages and the price is linear, so a line will model the data well. The equation of the price per page can be found using the point-slope form of a line equation, which in this case leads to the equation: Price = $0.025*Pages + $5.00.
Explanation:
To determine how well a line will model the given data, it is essential first to examine the relationship between the number of pages and the price. Here, we observe a consistent increase of $2.50 for every 100 extra pages. This suggests a linear relationship, meaning a line should model the data well.
To find the equation for the price in terms of the pages, we can use the point-slope form of a line equation, y - y1 = m(x - x1). Here, (x1, y1) is a point on the line, and m is the slope of the line. The slope (m) can be found by determining the difference in price (y values) divided by the difference in pages (x values). The slope will be ($7.75 - $5.25)/(200 - 100) =$2.50/100 pages = $0.025/page.
Choosing the first data point (100, $5.25) as our point on the line, the price equation (Price = m * Pages + b) becomes Price = $0.025 * Pages + $5.00. Thus, based on the data, a line model is well-suited to represent the relation between the number of pages and the price.
Learn more about Linear Relationships and Line Models here:
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