Answers
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Explanation:
This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.
We can then apply the Pythagorean theorem to say
a^2 + b^2 = c^2
m^2 + n^2 = (9*sqrt(2))^2
m^2 + m^2 = 9^2*(sqrt(2))^2
2m^2 = 81*2
m^2 = (81*2)/2
m^2 = 81
m = sqrt(81)
m = 9
As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.
Related Questions
A triangle has sides with lengths of 3 yards, 4 yards, and 5 yards. Is it a right triangle?
Answers
Answer:
It is a right triangle
Step-by-step explanation:
Depending on how you make the triangle if 3 is A 4 is B and 5 is C then the Pythagorean Theorm would be correct and it would be a right triangle.
Answer:
A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?
Step-by-step explanation:
What is 990-990
I need correct answers only
Answers
Answer:
according to my calculations the answer will be 0
Answer:
990 - 990 = 0
Step-by-step explanation:
990
990
- ____
000
A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles
Answers
Vertical Angles: Find the Supplementary Angles (photo provided)
Answers
Answer:
105°
Step-by-step explanation:
The given angles are vertical and congruent , then
8x - 21 = 6x + 3 ( subtract 6x from both sides )
2x - 21 = 3 ( add 21 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Then
6x + 3 = 6(12) + 3 = 72 + 3 = 75°
Supplementary angles sum to 180° , thus
supplementary angle = 180° - 75° = 105°
the helmet sheena would like to buy costs $4 less than 4 times the amount she saved . the helmet costs $60 .how much mony does sheena save ?
Answers
Answer: 20
Step-by-step explanation:
Calculate the value of A in the triangle below
Answers
Answer:
a = 3
Step-by-step explanation:
a² =5² - 4² = 25 - 16 = 9
a = 3
Which of the following would be a possible solution to the system of inequalities given below?
(3,-3)
(1,-7)
(6,4)
(-5,0)
Answers
Answer:
(3, -3)
Step-by-step explanation:
A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.
Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:
[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]
9 is bigger than 3, so (3, -3) is a solution to that inequality.
Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:
[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]
6 is bigger than 4, so (3, -3) is a solution to that inequality too.
Since (3, -3) is a solution to both inequalities, it must be the answer.
they finish
There are 4 athletes at a track meet. How many different ways can
first, second, and third?
Answers
Answer:
4 ways i think
Step-by-step explanation:
Hope this helps!
Answer:
its 20
Step-by-step explanation:
hope this helps
Giving extra points if you can answer
Answers
Answer:
+16
Step-by-step explanation:
It’s adding 16 every time
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answers
Answer:
-19,-23,-27
Step-by-step explanation:
When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.
Answer: -19, -23, -27
Step-by-step explanation:
<33
Which number is irrational?
-4
2/9
Square root 11
8.26 repeating 6
Answers
Answer:
8.26 repeating 6/ square root 11
Step-by-step explanation:
Examples of Irrational Numbers
Pi, which begins with 3.14, is one of the most common irrational numbers. ...
e, also known as Euler's number, is another common irrational number. ...
The Square Root of 2, written as √2, is also an irrational number.
Answer:
C
Step-by-step explanation:
edge 2020 took the quiz
twice the sum of 4 and x is less than -16. solve the i equality
Answers
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
3) The price of a math book is $50, but you only have $35 with you. If you
get a discount of 20%, how much money do you need to borrow from a
friend so that you can buy the book?
Work Area
4) The price of a telephone is $200 at Walmart and $240 at Target. If you
get a 15% discount at Target, where would you go to buy the telephone?
Answers
4) at target even with the 15% off it would still be 204$ so you would go to walmart where it’s still only 200$
please help me answer this
Answers
Write an inequality or equation then solve.
Joleen is a sales associate in a clothing store. Each week she earns $250 plus a commission equal to 3% of her sales. This week her goal is to earn at least $460. What is the dollar amount of the sales that she must have to reach to get to her goal? Provide work.
Answers
Answer:
She must have to reach $7000 sales to get to her goal.
Step-by-step explanation:
Consider the provided information.
Let her weekly sales is represented by [tex]x[/tex].
Each week she earns $250 plus a commission equal to 3% of her sales. so this can be written as:
[tex]250+\frac{3}{100}x[/tex]
Her goal is to earn at least $460. It means she needs to earn more than or equal to $460.
[tex]250+\frac{3}{100}x\geq 460[/tex]
Now simplify it.
[tex]0.03x\geq 460-250[/tex]
[tex]0.03x\geq 210[/tex]
[tex]x\geq 7000[/tex]
She must have to reach $7000 sales to get to her goal.
Answer:
She must have to reach $7000 sales to get to her goal.
Step-by-step explanation:
Explain how you do this stuff pls. Look at the photo
Answers
Answer:
[tex] slope (m) = -\frac{3}{4} [/tex]
Step-by-step explanation:
Slope of the line using two pairs of values from the table, (-2, 5) and (2, 2):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 5}{2 - (-2)} = \frac{-3}{4} [/tex]
[tex] slope (m) = -\frac{3}{4} [/tex]
PLS SOMEBODY ANSWER IM DESPERATE I NEED AN ANSWER OMGGGG I WILL GIVE BRAINLIEST JUST ANSWERR!!! maria earns $4.76 an hour at the local supermarket. each week, 25% of her total pay is deducted for taxes. in addition, she pays $25 a week, after taxes, in union dues. if she wants her takehome pay to be at least $100 a week, how many hours must she work? show work pls :)
Answers
Step-by-step explanation:
Let x be the number of hours Maria work per week.
We have 0.75 * $4.76x - $25 >= $100.
Therefore 0.75 * $4.76x >= $125,
$4.76x >= $166.66
x >= 35.014
Hence Maria have to work at least 36 hours per week.
Write the equation of the line in fully simplified slope-intercept form.
Please answer quick this is homework and it’s due at 8 PM
Answers
find the distance between a and b
Answers
Answer:
5 letters distance
Step-by-step explanation:
15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY
Answers
Answer:
225 I just checked tell me if you're right
Answer:
15*15 = 225
15*15 is the same as [tex]15^{2}[/tex]
if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.
no matter how ya do it, 15 *15 is 225
Step-by-step explanation:
The question is on the fill
Answers
Answer:
Your mom is annoying
Step-by-step explanation:
She keeps calling me even though its over.
HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum value of 7.
Answers
Answer:
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Step-by-step explanation:
Vertex Form of a quadratic equation;
[tex]y = a( x - h )^{2} + k[/tex]
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
[tex]y = a ( x + 3 ) ^{2} + 7[/tex]
Now substitute in the given point; ( -1, 9) and solve for a;
[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]
Hence the equation in vertex form is;
[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]
In standard form it is;
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
which table represents a linear function
Answers
Answer: B
Step-by-step explanation:
B is the only one of the tables that goes up with a order
The distance covered by three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours?
Cody= in 1/4 hour he can run 2 miles
YIn=1 1/2 hour he can run 11 1/4 miles
RUdy= 1 1/2 hour can run 12miles
Answers
Answer:
16 is the answer
Step-by-16step explanation:
The required distance run by the rudy in 2 hours is 16 miles.
Given that,
The distance covered by the three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of the Rudy running = 12 / [ 3 / 2] = 8 miles per hour
Now,
For time 2 hour the distance run by Rudy = 8 × 2 = 16 miles.
Thus, the required distance run by the rudy in 2 hours is 16 miles.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.
Answers
Answer:
?
Step-by-step
Can you be more specific?
5elect the correct answer
Celeste can spend no more than $30 to buy quinoa and rice. She wll pay $5 per pound for quirnoa and $2 per pound for rice. Which graph best
represents the nunber of pounds of quinoa and the rurmber of pounds of rice Celeste can buy
Answers
Answer:
A
Step-by-step explanation:
what is (12x+5)+(-10x-3)
Answers
Answer:
2+2
Step-by-step explanation:
There ya go
What is 6/-1 expressed as an integer?
Answers
Answer:
-6
Step-by-step explanation:
A tree has a shadow length of approximately 9 feet. The distance from the tip of the tree to the tip of the shadow is bout 15 feet. How tall is the tree?
Please help!!!!!
Answers
so a^2 + b^2 = c^2
c^2 is the hypotenuse and the 15 feet
a^2 + 9^2 = 15^2
a^2 + 81 = 225
a^2 = 144
the square root of 144 is 12
the tree is 12 feet tall
Answer:
12
Step-by-step explanation:
if you draw the picture in your copybook you will see that there is a right triangle, we have the Pythagorean theorem i.e c=√a²+b²
15=√9²+x². the trees tall=X
15²=9²+x²
x²= 144
X= 12
hope you will understand
Evaluate 6x - 4y when x = 5, y = 2
Answers
Answer:
22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right
Step-by-step explanation:
6.x=
6.5=30
4.y=
4.2=8
6.5=30 4.2=8
30-8=22