Answers
Answer:
[tex]4\sqrt{21}[/tex]
Step-by-step explanation:
Pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].
Which in this case:
'c' is hypotenuse. (hypotenuse = 20)
'a' and 'b' are the other sides. (a = x, b = 8)
[tex]a^{2} +b^{2}= c^{2}[/tex] [tex]x^{2} +8^{2} =20^{2}[/tex] [tex]x^{2} + 64 = 400[/tex] [tex]x^{2} = 336[/tex]Now we should just take square root from the both sides.
and the answer will be [tex]\sqrt{336}[/tex] or [tex]-\sqrt{336}[/tex], but a side of a triangle can not be a negative number! so the answer will be [tex]\sqrt{336}[/tex].
As you see [tex]\sqrt{336}[/tex] is not the simplest radical.
We can write [tex]\sqrt{336}[/tex] as [tex]\sqrt{16 * 21}[/tex].
And from the laws of radical we can write [tex]\sqrt{16*21}[/tex] as [tex]\sqrt{16} * \sqrt{21}[/tex].
[tex]\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}[/tex]
I hope it helps you. Please choose my answer as the brainliest.
Related Questions
please with answer and explanation!!
Answers
Subtract the height of the dive from
The total distance he dove:
15 - 9 = 6
The pool is 6 meters deep
13. A manager is comparing the drive-through service times for two fast-food restaurants, and the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the two samples, then
compare the two sets of results
Restaurant A 120 123 153 128 124 118 154 110
Restaurant B 115 126 147 156 118 110 145 137
Restaurant A: 44 sec; 298.34 sec?; 17.27 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant A.
Restaurant A: 44 sec; 260.79 sec?; 16.15 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Restaurant A: 44 sec; 260.79 sec2; 16.15 sec
Restaurant B: 46 sec; 245.64 sec?; 15.67 sec
There is more variation in the times for restaurant A.
Restaurant A: 46 sec; 260.79 sec2; 16.15 sec
Restaurant B: 44 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Answers
Answer:
The answer is A.
Step-by-step explanation:
An arts academy requires there to be 5 teachers for every 115 students and 3 tutors for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 77 students ?
Answers
Answer:
1.23
2. Question incomplete
3. Needs Question 2 to Answer
Step-by-step explanation:
1. 115÷5=23
What is the opposite reciprocal of the slope 7?
Answers
Answer: m=0
Use the slope-intercept form y=m, x+b, to find the slope m.
There ya go sweat heart
f(x) = x^2 + 6x - 5
f(-1) =
Answers
Answer:
∅
Step-by-step explanation:
x = -sqrt(5 f(-1) + 9) - 3, sqrt(5 f(-1) + 9) element R
Answer:
-10
Step-by-step explanation:
f(-1)=(-1)²+6(-1)-5
f(-1)=1-6-5
f(-1)=1-11
f(-1)=- -10
Mel sells jumbo cheesy pretze nuggets in a 5 nugget "diet" size, a 8 nugget "share" size, and a 14 nugget "party size". What is the greatest total number of jumbo cheesy pretzel nuggets that cannot be purchased from Mel?[example it is possible to buy 8 nuggets but not possible to buy 9 nuggets.]
Answers
Answer: 15??
Step-by-step explanation:
If a²+b²=8ab, determine (a+b) in terms of a and b
Answers
[The question's not wholly right! Since, (a+b) has a and b in it, it already is in terms of a and b. Here, we'll be representing (a+b) in terms of ab]
Answer:
[tex]\mathsf{\sqrt{10ab} }[/tex]
Step-by-step explanation:
We have the rules of indices, one of which is:
[tex]\boxed{\large{\mathfrak{(a+b)^2=a^2+b^2+2ab}}}[/tex]
Indices are the powers, the numbers written as superscript in front of a variable or the numbers that come along with "^". It shows how many times a number is to be multiplied by itself.
In the question, we're provided with one equation, i. e.,
a² + b² = 8ab . . . . . . . . (¡)And, were asked to find out the value of (a+b) in terms of ab.
The above rule has variables that fit in the question efficiently!
So, instead of solving for (a+b), we'll be solving for (a+b)², then go for (a + b):
=> (a + b)² = (a² + b²) + 2ab
from eqn. (¡):
=> (a + b)² = 8ab + 2ab
=> (a + b)² = 10ab
taking under root on both the sides:
=> (a + b) = [tex]\mathsf{\sqrt{10ab} }[/tex]
That's the answer, [tex]\mathsf{\sqrt{10ab} }[/tex]!
[tex]\overline{\mathfrak{Hope \:this \:makes\: sense!}}[/tex]
given m || n, calculate the value of x
Answers
Answer: x = 41
Step-by-step explanation:
4x - 68 = 2x + 14 [since alternate interior angles are equal]
4x - 2x = 14 + 68
2x = 82
x = 41
Answer:
x=41
Step-by-step explanation:
this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.
4x-68=2x+14
2x-68=14 <- subtract 2x from both sides
2x=82 <- add 68 to both sides
x=41 <- divide both sides by 2
check:
4(41)-68=96
2(41)+14=96
which type of agency is responsible for maintaining public lands held in trust
Answers
Answer:
resource management agency
Step-by-step explanation:
Which system of linear inequalities is graphed?
Answers
Answer:y>2x+1 and x+y<-2
Step-by-step explanation: Plot those two lines and they should appear the same as the graph, with the area to the left of (-1,-1) and between the lines greyed out.
what is 4/15 divided by 10/13
Answers
Answer:
26/76 or 0.346 is the answer
Answer:
26/75 or 0.346
Step-by-step explanation:
4/15 * 13/10
2/15 * 13/5
26/75
Compare the values A B C or D
Answers
Answer:
In the pic
Step-by-step explanation:
All the ans is in the pic
Own made 60% of the shots he attempted during his hockey practice he made 18 shots . How many shots did owen attempt during his hockey practice
Answers
Answer:
come on the answer is 30 lol.
Step-by-step explanation:
Chloe works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 10% of her total sales for the week. How much would Chloe make in a week in which she made $975 in sales? How much would Chloe make in a week if she made xx dollars in sales?
Answers
Answer:
See Below
Step-by-step explanation:
Making $250/week in salary and 10% of the $975 in sales.
First find what 10% of $975 equals. The decimal equivalent of 10% is 0.10
So multiply the decimal and total sales.
0.10 x 975 = 97.5
Her weekly salary plus the commission would be:
$250 + $97.50 = 347.50
If you don't know her sales for the week, you can use X to represent the sales. The equation would be:
0.10x + 250 = y where y is her total pay.
it took jose two-thrids of an hour to complete his math homework on monday,three- fourths of an hour on tuewsday , and two- fifths of an hour on wednesday. how many hours did it take jose to complete his homework altogether
Answers
On Monday, Jose took 2/3 of an hour to complete his math homework. We know that is hour is 60 minutes. Divide 60 by 3 (the denominator) and you get 20. Multiply 20 x 2 (numerator) and you get 40 minutes! 2/3 of an hour is 40 minutes.
On Tuesday, Jose took 3/4 of an hour to complete his homework. Divide 60 by 4 (denominator), and you get 15! Multiply 15 x 3 (numerator) and you get 45. 3/4 of an hour is 45 minutes.
On Wednesday, Jose took 2/5 of an hour to complete his homework. Divide 60 by 5 (denominator), and you get 12. Multiply 12 x 2 (numerator) and you get 24! 2/5 of an hour is 24 minutes.
Finally, you add the three sums of minutes from each day. 40 + 45 + 24 = 109.
Subtract 60 from 109 (109 - 60) and you get a remainder of 49 minutes. This means that it took Jose and hour and 49 minutes to finish his homework.
Hope this helps :)
What is 49.5x divided by 88
Answers
Answer:
0.5625
Step-by-step explanation:
0.5625x
Isn’t really much of a step by step, in your calculator just put in the numbers divided by eachother then add the “x”.
Is the square of an irrational number always irrational? Explain
Answers
Step-by-step explanation:
For example, √3 is irrational, but (√3)2 = 3, which is rational.HOPE IT HELP
Answer:
No.
Explanation:
For example, √3 is irrational, but (√3)2 = 3, which is rational.
Hope this helps....
p(-2)=-3+4x please help
Answers
Answer:
first off, this may be completely wrong, but I did try my best. You need to clarify what this is for so I went with the easiest route, solving for variables.
P=0
X= - 3/4
Step-by-step explanation:
P(-2)=-3+4x
Solving for X
-2P=-3+4x
-2(0)=-3+4x
-3=4x
- 3/4=X
Solving For P
P(-2)=3+4(- 3/4)
P(-2)3-3
P=0
What is the point halfway between (a, 2b) and (-a, 8b)?
Answers
The midpoint of the x values a and -a would be 0 because of a was a number the mid point between the negative and positive of the same number is 0
The midpoint of 2b and 8b is found by adding them together and dividing by 2:
2b + 8b = 10b / 2 = 5b
The midpoint is (0,5b)
what is 1.5 as a ratio
Answers
Answer: 3/2
Step-by-step explanation:
Slopes, and y-Intercepts: Mastery Test
Here's a graph of a linear function. Write the
equation that describes that function.
8
Express it in slope-intercept form.
6
Enter the correct answer.
OOO
DONE
Clear all
+1?
-8
-6
6
8
6
Answers
Since m/slope = 2/3 and b/y-intercept = -1, the equation would be:
y = 2/3x - 1
hope this helps !!
A line is a one-dimensional shape that is straight. The equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line goes through two points, (0, -2) and (6, 3). Therefore, the slope of the given line can be calculated as,
Slope, m = (-2 - 3)/(0 - 6) = -5 / -6 = 5/6
Further, it can be seen that the line intersects the y-axis of the graph at (0, -2), therefore, the y-intercept of the given line is -2.
Since the equation of a line in slope intercept form is written as y=mx+c. Therefore, substituting the slope and the y-intercept in the equation.
y=mx+c
y=(5/6)x -2
Thus, the equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ5
Write the equation of the line that passes through the given point and its parrallel to the given line
(2, 7); 3x - y = 5
if you know how to do this could you explain? its okay if you dont want to though
Answers
Answer:
PLEASE MARK BRAINLIEST
Step-by-step explanation:
y= mx + c
-y = 5- 3x
y= 3x - 5; m =3
since it is parallel
m1=m2
y- y1= m(x -x1)
y -7 =3(x -2)
y- 7=3x - 6
y= 3x +1
A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 50-kilogram crates that can be loaded into the shipping container.
Answers
Answer:
See belowStep-by-step explanation:
Capacity of the container = 24000 kgLoaded weight = 3900 kgNumber of crates = xRequired inequality:
50x + 3900 ≤ 24000Solving:
50x ≤ 20100x ≤ 20100/50x ≤ 402Answer:
Inequality: 50x+9500≤27500
Answer: x≤360
Step-by-step explanation:
In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does Lincoln's birthday fall in 2025?
Need solution thanks
Answers
Wednesday
If you use a calender, it falls on a wednasday
9x2y3, for x= 5 and y=3.
Answers
Answer:
if you tell me what it means I can help you
HELP PLEASE!!!!!!!!!!!!
Answers
Then:
m< 1 + m < 38° = 180°
m < 1 = 180° — m < 38°
m < 1 = 142°
Since m < 1 = m < 3, then m < 3 = 142°
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the
number of pounds of apples.
What is the unit price apples at store B? How did you use the equation to find the unit price?
Answers
Answer:
.50 per pound of apples in store
Today only, a desk is being sold at a 33% discount. The sale price is $603.
What was the price yesterday?
Answers
The original price of the desk before discount was $900.
What is discount?A discount is the reduction in the marked price of items, discounts are generally given to customers to attract them towards some items or on sale.
Given that a desk is at sell today, the shop is offering 33% discount on it, which will give a selling price of $603.
We need to find the desk's yesterday price,
So, let the yesterday price be x,
Therefore,
100 - 33 = 67
Therefore,
67% of x = 603
x = 603 × 100 / 67
x = 900
Hence the original price of the desk before discount was $900.
Learn more about discount click;
https://brainly.com/question/31430480
#SPJ2
A line with a slope of 1/3 passes through the point (-8,9). What is its equation in point-slope form?
Answers
Answer:
y - 9 = 1/3 (x+8)
Step-by-step explanation:
point slope form is y - y1 = m (x - x1)
marking as brainliest + 80 pts <3 do it all please and if you have any questions you can ask here or add my dxisxcord, insxtax or snxapcxhxat so i can send the image up close if you can't see, js ask for it :P
Answers
Answer: BRAINLIEST?
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
Answer:
hi i know she alreaady andwerd but hi
Step-by-step explanation: