Answers
Explanation:
x = 6/sqrt(3)
Rationalize denominator
x = 6 x sqrt(3)/sqrt(3) x sqrt(3)
x = 6 sqrt(3)/3
x = 2 sqrt(3)
Related Questions
Round 324.9845 to the nearest hundreths E
Answers
Answer:
324.98 I think is correct
Answer:
324.99
Step-by-step explanation:
if z is the circumcenter of triangle qrs find each measure
Answers
Answer:
Step-by-step explanation:
Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.
So, the distance of Z from the vertices Q, R and S will be the radii of the circle.
Therefore, ZQ = ZR = ZS
Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.
Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.
Using these facts,
a). QR = 2(WQ)
= 2(25)
= 50
b). Apply Pythagoras theorem in ΔRXZ,
(RZ)² = (RX)² + (ZX)²
(RZ)² = (40)² + (9)²
RZ = √1681 = 41
c). XS = [tex]\frac{1}{2}(RS)[/tex]
= [tex]\frac{1}{2}(80)[/tex]
= 40
d). Since, ZQ = ZR = ZS
ZS = 41
e). By applying Pythagoras theorem in ΔRWZ,
(RZ)² = (WZ)² + (WR)²
(41)² = (WZ)² + (25)²
(WZ)² = (41)² - (25)²
WZ = √1056
WZ = [tex]4\sqrt{66}[/tex]
≈ 32.5
Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:
a. QR = 50
b. RZ = 41
c. XS = 40
d. ZS = 41
e. WZ = 32.5
Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:
RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.Points X, Y, and W are at right angles.Given:
RS = 80WQ = 25XZ = 9a. Find QR:
QR = 2 × WQ = 2 × 25
QR = 50
b. Find RZ in right ΔXRZ:
XZ = 9 (given)
XR = 1/2(RS) = 1/2(80) = 40
Apply Pythagorean Theorem to find RZRZ = √(XZ² + XR²)
SubstituteRZ = √(9² + 40²)
RZ = 41
c. Find XS:
XS = 1/2(RS) = 1/2(80)
XS = 40
d. Find RZ:
RZ = ZS = QZ = 41 (equidistant)
ZS = 41
e. Find WZ in right ΔWRZ:
WR = WQ = 25
WR = 25
RZ = 41
Apply Pythagorean Theorem to find WZWZ = √(RZ² - WR²)
SubstituteWZ = √(41² - 25²)
WZ = 32.5
Learn more about the circumcenter theorem on:
https://brainly.com/question/8055762
Kai is looking for his first job as a pharmacy technician. He prepares for the job by memorizing household, metric, and apothecary abbreviations. In addition, he memorizes the methods for converting data between those measurement systems. Perform the following calculation using the ratio and proportion method. How many ounces (oz) are equal to 4 cups?
Answers
Answer:
Step-by-step explanation:
0.5: 4
pLZ NAME MEE THE brainliest thank u
Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.
Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.
Which congruency statement is correct?
LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'
Answers
Answer:
A= LMNO ≅ L'M'N'O'
Step-by-step explanation:
just did it trust me
A= LMNO ≅ L'M'N'O'. Hope this helps!!
I need help on this
Answers
Answer:
,b j,mbnlvj lcv
Step-by-step explanation:
nb ckhbv m
i just want want points sorry! :)
solve
log5(2)+log5(x)-log5(x-1)=log5(3)
Answers
Step-by-step explanation:
log5(2)+log5(x)-log5(x-1)=log5(3)
log5(2x) = log5(3)+log5(x-1)
log5(2x) = log5(3Xx-1)
2x = 3x-3
x= 3
What is the 100th term in the sequence an= 4n-12
Answers
The hundredth term of the given sequence is 388.
What is a sequence?In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, we need to find the 100th term in the sequence an= 4n-12,
Put n = 100,
a₁₀₀ = 4 x 100 - 12
= 400 -12
= 388
Hence the hundredth term of the given sequence is 388.
Learn more about sequence, click;
https://brainly.com/question/30262438
#SPJ3
10+10 Chloe answer
Answers
Answer:
20
Step-by-step explanation:
The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?
a. (y−2)2=8(x−6)
b. (y−2)2=−8(x−6)
c. (x−6)2=−8(y−2)
d. (x−6)2=8(y−2)
Answers
Answer:
The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B
Step-by-step explanation:
Let us revise the standard form of the equation of a parabola
The standard form of the equation is (y - k)² = 4p(x - h), where
(h, k) is the turning point (h + p, k) are the coordinates of the focus x = h - p is the equation of the directrix
∵ The vertex of a parabola is (6, 2)
→ From the fact above
∴ h = 6 and k = 2
∵ The equation of its directrix is x = 8
→ From the fact above
∴ h - p = 8
→ Substitute the value of h to find p
∵ 6 - p = 8
→ Subtract 6 from both sides
∴ - p = 2
→ Multiply both sides by -1
∴ p = -2
→ Substitute the values of h, k, and p in the form above
∴ (y - 2)² = 4(-2)(x - 6)
∴ (y - 2)² = -8(x - 6)
∴ The equation of this parabola in standard form is (y - 2)² = -8(x - 6)
PLSSSSS HURRY I AM TIMED. Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the dollar bills?
Dino has 7 times as many coins as he has bills.
Dino has 7 times as many bills as he has coins.
For every 2 bills, Dino has 7 coins.
For every 7 coins, Dino has 14 bills.
Answers
Answer:
I believe it's A
Step-by-step explanation:
(^-^) Hope this helps!
Answer:
For every 2 bills, Dino has 7 coins.
Step-by-step explanation:
Which transformation represents a reflection over the x-axis?
O (X,Y) - (-x, y)
O(x,y) → (X, -y)
O(x, y) (y,x)
(x, y) - (-y, x)
Answers
A restaurant makes it barbecue sauce by the gallon but they sell in 12 ounce bottles this week 3 gallons of barbecue sauce are ready to bottle how many fluid ounces of sauce is there
Answers
Answer:
3 gallons = 12 ounces
12 x 3 = 36 ounces
A textbook costs $65.49 before tax. The tax on the textbook is 6.5% what is the total costs of the textbook
Answers
Answer:
65.49*0.065 = 4.26
Step-by-step explanation:
65.49*0.065 = 4.26
65.49+4.26 = $69.75
Answer:
$69.75
Step-by-step explanation:
65.49x6.5%= 4.26
65.49+4.26= 69.75
Don't forget your label!
Hope this helps!
-AxekickNebulite
Convert 1.05 to a percent.
Answers
Answer:
105%
Step-by-step explanation:
you would just move the decimal 2 places to the right
Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
take him to run one mile?
Answers
= 9 minutes to run one mile
An airplane is traveling with an airspeed of 500 mph in the direction N 60° E. A wind blows directly south at 50 mph. What is the plane’s drift angle?
3.84°
5.21°
60.00°
65.21°
Answers
Answer:
5.21
Step-by-step explanation:
Got it right on edg
Answer:
B) 5.21°
Step-by-step explanation:
got it right on edge :)
Fill in the blank.
x 3 x 4 = 84
Answers
Answer:
the missing value is 7
Step-by-step explanation:
*PLEASE SOLVE USING EQUATIONS*
How old am I if 200 reduced by 2 times my age is 46?
A) 89
B) 83
C) 77
D) 108
Answers
Answer:
C) 77
Step-by-step explanation:
77 times 2= 154
200-154= 46
Which of the following explains the relationship between angles A and D?
Answers
23.21 to the nearest hundredth
Answers
Answer:
23.21
Step-by-step explanation:
The answer you have given is correct.
Explain how to use the distributive property to find the product (3) ( 4 /1 5 )
Answers
Answer:
Reduce the expression, if possible, by cancelling the common factors.
the answer is 4/5 or 0.8 :)
Step-by-step explanation:
Answer:
Sample Response: Rewrite 3 ( 4 1/5) as 3 ( 4 + 1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5 . Then add to get 12 3 /5 .
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years
Answers
Answer:
It should be C. 620
Step-by-step explanation:
Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.
The total price of one year of tuition is $12,300, while his parents have saved $4,860.Thus, the amount he has to save for the next 4 years is:
[tex]A = 12300 - 4860 = 7440[/tex]
4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:[tex]\frac{7440}{48} = 155[/tex]
And the correct option is:
B. Azul will need to save $155 per month for the next 4 years.
A similar problem is given at https://brainly.com/question/24342347
I need help !!!!!! Please bZ÷12=9
Answers
Answer:
The answer is b=18/z
Step-by-step explanation:
Let's solve for b.
bz/2=9
Step 1: Divide both sides by z/2.
1/2bz/z/2=9/z/2
b=18/z
Answer:
b=18/z
evaluate each expression if m equals 3 and n equals 7, 3mn is?
Answers
Answer:
63
Step-by-step explanation:3(3)(7)=63
Answer: 3 x 3 x 7 = 63
Step-by-step explanation: I am not sure if this is what you are asking but when a number and a variable and next to each other without any spaces it means that you should multiply them, so, 3 x m is just 3 x 3. Expanding on this, if 3 x 3 x n is equal to 3 x 3 x 7 then you can just multiply 3, 3, and 7 for a total of 63.
6.8x+9.3= -9.4+3.4(2-5x)
Answers
Answer: the answer to this is x=0.5
Step-by-step explanation:
In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this - 34x/5 + 9.3= -9.4+3.4(2-5x)
The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them
Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions
also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5
so x= -0.5
Answer:
x=-0.5
Step-by-step explanation:
step 1
6.8x+9.3=-9.4+3.4(2-5x)
6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute
6.8x+9.3=-9.4+6.8+-17x
6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms
6.8x+9.3=-17x+-2.6
6.8x+9.3=-17x-2.6
step 2
add 17x to both sides.
6.8x+9.3+17x=-17x2.6+17x
23.8x+9.3=-2.6
step 3
subtract 9.3 from both sides.
23.8x+9.3-9.3=-2.6-9.3
23.8x=-119
step 4
divide both sides by 23.8
23.8x/23.8= -11.9/23.8
The answer is =-0.5
NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people
Please give me the right answer for 33 points.
Answers
Answer:
A. broke down trade barriers
what are exponents?
they are very hard for me
Answers
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answers
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
The probability that the first production line stops is 0.5 while the probability that the second production line stops is 0.22 . If the production lines work independently of each other what is the probability that both lines are working at any given time ?
Answers
Answer:
0.11
Step-by-step explanation:
The events are independent, so:
P(A and B) = P(A) × P(B)
P = 0.5 × 0.22
P = 0.11
A relation is
1)the output(y) vaules of the relation
2) the input (x) vaules of the relation
3)a set of points that pair input vaules with output vaules
4)x and y vaules written in the form (x,y)
WILL MARK BRAINLEST
Answers
Answer:
its 2
Step-by-step explanation:
can i get brainliest