[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
Solve the inequality.
Answer:
x [tex]\leq[/tex] -3
Step-by-step explanation:
Make common denominators
[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]
Use the numerators only
2x - (3x - 3) [tex]\geq[/tex] 6
Distribute
2x - 3x + 3 [tex]\geq[/tex] 6
-x + 3 [tex]\geq[/tex] 6
Subtract 3 from both sides
-x [tex]\geq[/tex] 3
x [tex]\leq[/tex] -3
Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.
Answer:
105t1
Step-by-step explanation:
por qué los sumas te da
The perimeter of a square rug is 104 cm. What is the area of the rug?
Answer
Area of the rug is 64 in^2
Answer:
676 cm²
Step-by-step explanation:
A square has 4 congruent sides , then
104 ÷ 4 = 26 cm ← length of side of square s
The area (A) of a square is calculated as
A = s² = 26² = 676 cm²
I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:
-11 + 9b² = 25
If you can help me I will be very grateful!
Answer:
b=4
Step-by-step explanation:
-11+9b^2=25
add 11 to both sides
9b^2=36
divide both sides by 9
b^2=4
take the square root of both sides
b=4
The price of petrol increased by 8% to Rs 540 per litre. Find the old price.
Answer:
The original price is Rs. 50
Step-by-step explanation:
Let the original price be Rs.x
x+8% of x=54
x+(8/100)*x=54
x+8x/100=54
(100x+8x)/100=54
108x/100=54
x=54* 100/108
x=50.
The original price is Rs. 50
Answer:
Rs 500 per literStep-by-step explanation:
Let the initial price be x.
We have:
x + 8% of x = 540Rewrite it as below and solve for x:
x + 0.08x = 5401.08x = 540x = 540/1.08x = 500A jacket's REGULAR price is $65.00. It is on clearance for 40% off. you have to pay 5% sales tax What is the final price for the jacket. Please show how to calculate the 5% sales tax thoroughly.
Answer:
circle tttdonuts
Step-by-step explanation:
d crystal
a water truck is filling a swimming pool
Find the value of f(7).
y = f(x)
9=[tex]9=\frac{2-4t}{t+3}[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Let's Solve for t ~
➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]
➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]
➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]
➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]
➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]
➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]
Answer:
t = (2 - 3q)/(q + 4).
Step-by-step explanation:
We cross multiply:
q(t + 3) = 2 - 4t
qt + 3q = 2 - 4t
qt + 4t = 2 - 3q
t(q + 4) = 2 - 3q
t = (2 - 3q)/(q + 4).
I need help with this question ASAP!
after riding a bike 9 miles,Alex’s total time was 40 1/2 minutes. Find his time per mile.
There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest
Answer:
7 ÷ 1 = 7
Step-by-step explanation:
Answer:
I think
Step-by-step explanation:
I think you are subtracting
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.
PT. 5 OF MY HW!!! ITS UNIT RATE!!!
Answer: The second pool is filled at a faster rate (3,600 gal/h) than the first pool (1,300 gal/h)
Step-by-step explanation:
Kieran buys a car for $8000 The following year he sells the car for $7500
Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500
Loss :
= $ 8.000 – $7.500
= $ 500
then Loss is $500
#FromIndonesia
Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
X + y = 3
X + y = -3
Answer:
no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk
The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?
Answer:
I have no any ideas
Step-by-step explanation:
sorry
What is the full length of the segment?
Answer:
2
Step-by-step explanation:
if the angle of the two triangles are the same,
6 is 2/3 of nine
Therefore,
2/3x3=2
can i get some help? :') I dont know what im doing
The chart I've attached is very helpful for these types of problems!
A 270 degree rotation clockwise is (-y, x).
X = 3
Y = -2
V' = (2, 3)
Hope this helps! :)
Can someone please help 25 points for this one
Answer:
im not sureee
Step-by-step explanation:
srry
the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price
can someone please awnser this right away
Answer:
[tex]25 \times \frac{60}{100} = 15[/tex]
Step-by-step explanation:
Multiply 25 by 60%
Can someone please help me with these 2 problems I’ve been stuck on them for awhile :’) tysm!
Answer:
48. 95,400 mL
50a. 331 yds.
50b. 11,916 in.
Step-by-step explanation:
Some helpful conversions can solve this for you :)
1 liter = 1000 mL
1 yard = 3 feet
1 feet = 12 inches
Now we get started!
48. We have 95.4 Liters, multiply by 1000 because 1000 mL per Liter. Therefore it's 95,400.
50
a. 3 feet per yard, so 993 feet divided by 3 is 331 yards.
b. 12 inches per foot, so 993 feet multiplied by 12 is 11,916
HELP PLZZ! DUE IN 15 MIN!
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Need help Please due soon help I beg
Answer:
the variables mean (1)
Step-by-step explanation:
you need to divide
Answer:
equals y<5?
Step-by-step explanation:
i dont think this will help but i hope it does help
can anyone please help?
Answer:
-1 or 1.
Step-by-step explanation:i hope thats what your looking for.
pleeeeeeeease help meeeee
Answer:
45
Step-by-step explanation:
First, we have to find the Nth term of this sequence. Since this is linear we can just find the difference to get the n. For example, we can do 3-2 which is one and we can also do 5-4 which is also 1 which confirms that the n is 1. So in other words, 1n However, we don't write the 1 in front of the n because the n itself represents 1n. Next, we have to take away 1 from the first term, which also gives us 1. This is the adjustment to the 1n. So our answer is n+1, which is the nth term for this linear sequence. So now we just substitute 44 into the equation. 44+1=45, which is the 44th term.
Solve for the positive value of x: 2x² = 50
Answer:
x=5
Step-by-step explanation:
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.
Length of the frame is = 5 inchBreadth of the frame is = 8 inch[tex]\qquad[/tex]____________________
According to the question:-
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]
The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]
Henceforth, perimeter of the frame is 26 inch.Therefore,
Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.[tex]\qquad[/tex]____________________
The Answer will be 26 inch
Can someone plz help me?
Answer:
d
Step-by-step explanation:
I got it right on my quiz