Answer:
20 cm.Step-by-step explanation:
We know that the permiter is defined as
[tex]P=L+S+M[/tex]
Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.
If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.
[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]
Replacing all expression, the perimeter is
[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]
Using a calculator, the perimeter is 20 units centimeters.
1. 3x + 5 = 5x -9
2. 2x + 5 = 3x - 3
3. 3x + 2 = 5x - 16
Pls again answer equation questions find x, I can do this but I am so exhausted.
Answer:
1)7
2)8
3)9
Step-by-step explanation:
1)3x+5=5x-9
3x-5x=-9-5
-2x=-14
x=7
2)2x+5=3x-3
2x-3x=-3-5
-1x=-8
x=8
3)3x+2=5x-16
3x-5x=-16-2
-2x=-18
x=9
Hope I am correct and if I am not I will edit my answer
Answer:
1. x= 7
2. x= 8
3. x= 9
Step-by-step explanation:
1. 3x+5= 5x-9 2. 2x+5= 3x-3 3. 3x+2 = 5x-16
3x-5x= -9-5 2x-3x = -3-5 3x-5x = -16-2
-2x= -14 -x = -8 -2x = -18
x= -14/-2 x = -8/-1 x = -18/-2
x = 7 x = 8 x = 9
In ΔJKL, the measure of ∠L=90°, KL = 6 feet, and JK = 7 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
40.6 degrees
Step-by-step explanation:
We know:
KL = 6
JK = 7
Angle L = 90 degrees
So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :
[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]
We can find angle K with the following equation:
[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]
Answer:
31
Step-by-step explanation:
\cos K = Adj/Hyp = 6/7
cosK= 7/ 6
K=\cos^{-1}(6/7)
K=cos −1 ( 6/7 )
K=31.0027≈31
Hosiste product of 2 and 5 shown on anumber ine?
[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Please help... me with this problem
Answer:
no
Step-by-step explanation:
Use the vertical line test. A vertical line touches more than one point on the graph, so it is not a function
Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9
Answer:
a. 9
Step-by-step explanation:
[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]
Answer:
a. 9
Step-by-step explanation:
because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive
What are the domain and range of this graph
Answer:
As shown in picture, the graph starts from 0 and goes to + infinity.
=> Domain: [0, + infinity)
=> Range: [0, + infinity)
Hope this helps!
:)
Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive
Answer:
They will arrive at 11:50 am the next day
Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes
Answer:
11:50 a.m.
Step-by-step explanation:
2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.
Find the minimum value of C=x+3y
Answer:
c
Step-by-step explanation:
2x + 3y > 6 (1)
3x – 2y = 9 (2)
x + 5y = 20 (3)
From (1) and (2), we have:
(2x + 3y) - (3x - 2y) > 6 - 9
5y - x > -3 (4)
From (3) and (4), we have:
(x + 5y) - (5y - x) > 20 - (-3)
2x > 23
x > 12,5 (5)
From (3) and (5), we have:
x + 5y = 20 ⇔ 12,5 + 5y > 20
5y > 7,5
y > 1,5
So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5
Conclusion: C > 54,5
which phrase represents the algebraic expression 3p + 6
Answer:9p
Step-by-step explanation:
Need help , can’t find this one
2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?
Answer:
81.8 kg
Step-by-step explanation:
To find the total mass you have to add both of their mass
46.2 kg+35.6 kg= 81.8 kg
Their total mass is 81.8 kg #
A SCHOOL HAS 320 GIRLS AND 250 BOYS
THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1
ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL
Answer:
89
Step-by-step explanation:
I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.
Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.
In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.
In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
write with explain.
Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
What is the domain of y=4[x+2]
Answer:
[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
minus A plus 6 a ncert solution class 9
Answer:
yes htjjevdhfifnfjjdeirjfjebdv dbdu you fr
anyone know thus multiple question.... yes you , i know you've saw this , your reading now ... please help (if you can of course )
Answer:
if union, U means plus,+
if intersect means minus, -
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$14
Step-by-step explanation:
35% is the same as multiplying by .35
40 * .35 = 14
Jonathan bought a table and some chairs and a furniture store. The equation that models the situation is Y equals 25X +80, where why is the amount of money he spends and X is the number of chairs he bought. What does the Y intercept mean in the situation?
Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
How to factor 3x^2-10x-8?
[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]
Answer:
Step-by-step explanation:
HELP ASAPPPP !!!! NEED ANSWERS NOW!!
1. Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−10,6)
Midpoint: (7,−6)
2nd endpoint: (_____,____)
2. Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−1,0)
Midpoint: (−10,2)
2nd endpoint: (____,____)
Answer: 1. 2nd endpoint (24,-18) 2. 2nd endpoint: (-19,4)
Step-by-step explanation:
1. [tex]\frac{-10+x}{2}[/tex] = 7 x = 24
[tex]\frac{6+y}{2}[/tex] = -6 y= -18
2nd endpoint: (24,-18)
2. [tex]\frac{-1+x}{2}[/tex] = -10 x= -19
[tex]\frac{0+y}{2}[/tex] = 2 y= 4
Solve for x. Assume that line which appear to be diameters are actual diameters.
Answer:
x = 8
Step-by-step explanation:
The angle above the 6x-8 = 180 -140 = 40
The angle on the opposite side is 40 degrees as well because they are vertical angles
6x-8 = 40 degrees
Add 8 to each side
6x= 48
Divide by 6
6x/6 = 48/6
x = 8
Which describes unit rates? Check all that apply.
-Nadia pays $30 for 2 baseball tickets.
-A certain type of sailboat travels at 7 nautical miles per hour.
-The cost of 3 hot chocolates is $2.
-A summer camp provides 3 meals for each camper.
Answer 2,4 are all described as unit rates a unit rate is anything that has per or each in it so a certain type of boat travels at 7 hours PER mile so we know question 2 is correct and 3 is a unit rate because it has each in it A summer camp provides 3 meals for EACH camper. That’s why the answer is 2 and 4
POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR
Answer:
the answer should be c
Step-by-step explanation:
What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)
Answer:
3. All real numbers greater than or equal to -2
Helpppp meeeeee plsssssss
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
Sin485 positive acute angle
Find the logarithmic form of 54 = 625
Answer:
4 log 5 = log 625.
Step-by-step explanation:
I am assuming you mean 5^4 = 625
Taking logs
log 5^4 = log 625
4 log 5 = log 625.
How do you go from 98 to 720 using just one letter?
RIDDLE...
Answer:
Add an "x" between "ninety" and "eight". Ninety x Eight = 720.
90 x 8 = 720