Answers
==========================================================
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
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answers
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27
3х - 2y = 1 in standard form
Answers
Answer:
y= (3x-1)/2
Step-by-step explanation:
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answers
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
Can you please help me with this???
Answers
Answer:
SQT = 100
Step-by-step explanation:
A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answers
Answer 6
Step-by-step explanation:
I found the answer on calculator
I need help fast thank you all!!
Answers
Answer:
b = 5.2
c = 3.5
Step-by-step explanation:
By 45°- 45° - 90° triangle theorem:
[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]
By 30°- 60° - 90° triangle theorem:
[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]
5x + 3y = 5
5x + 7y = 25
Answers
Answer:
(-2,5)
Step-by-step explanation:
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Answers
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?
Answers
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]
[tex]\text{Combined number of cellists and violinists}=10x[/tex] ...(i)
Number of violinists in the school orchestra = 21
[tex]7x=21[/tex]
Divide both sides by 7.
[tex]x=3[/tex]
Now, the combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=10(3)[/tex] [Using (i)]
[tex]\text{Combined number of cellists and violinists}=30[/tex]
Therefore, the combined number of cellists and violinists is 30.
Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answers
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Write the fraction 9/12 as a percent
Answers
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answers
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
What is the answer???
Answers
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
What is the measure of the missing angle?
Answers
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answers
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
Can somebody help me. Will mark brainliest.
Answers
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
7(n - m) for m = 4 and n = 15
Answers
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
what is the value of x? -6x=90
Please show you got the answer
Answers
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood
help ;-;...
Answers
Answer: 26
Step-by-step explanation:
62-36=26
Answer: 26
You simply have to subtract 36 from 62
PLEASE HELP ASAP!!
The graph represents which system of inequalities?
A.) y<=-2x+3
y<=x+3
B.) y>=-2x+3
y>=x+3
C.) y<=-3x+2
y<=-x+2
D.)y>-2x+3
y>x+3
Answers
Answer:
Its the yellow area
Step-by-step explanation:
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answers
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation:
Describe and correct the error in using properties of parallelograms.
Answers
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
!!Please Help!! Find the value of z to the nearest tenth.
Answers
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP
Answers
Answer:
8 kilometers
Step-by-step explanation:
Since 5 is half of 10, then do 16/2 to find how many kilometers.
Answer:
8
Step-by-step explanation:
16 kilometres in 10 miles (divide by 10 to find 1)
1.6km 1 mile
8(times1.6 by 5) 5 miles
please mark as brainliest!!!
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answers
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
Helppp!!
What is the value of the missing angle?
Answers
Answer:
105
Step-by-step explanation:
all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105
hope this helps :)
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answers
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
Could you write 9 inches and 180 as a ratio?
Answers
Answer:
9:120 but if simplified 1:20
Step-by-step explanation:
I hope this helps
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answers
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Pls explain how you got the answer also ☺️
Answers
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250