Answer:$247
Step-by-step explanation
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
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Graph the equation 2x - y = -3
PLEASE HELP, I HAVE NO IDEA HOW.
Step-by-step explanation:
Lets assume that x=0
Therefore- 2×0-y= -3
0 - y =-3
Therefore y = -3
Then lets take now the before equation
2x - 3= -3
2x = -3+3
2x=0
x=0÷2
∴ x= 0
Answer is- 0,-3
See image
You have to change the equation so it's in the form y=mx+b.
b is the y-intercept and it is a good starting point and m is the slope and it tells you directions to the next point (also how steep or flat and if it's going up or down) See image
The weight of 120 books is 36kg, find the weight per book
Answer:
0.3kg
Step-by-step explanation:
Since the weight of 120 books is 36kg, the weight per book will be:
= 36kg / 120
= 0.3kg
help please please help
Answer:
24/35
Step-by-step explanation:
Hope this helps!:)
A tree is 6 feet 7 inches tall. How tall is it in inches?
Answer:
79 inches
Step-by-step explanation:
1 foot equals 12 inches
6 feet = 6*12 = 72 inches
72+7=79
79 inches
455,757,974,946,454 ×454,942,164,313,233.Plz help.
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what is 5÷ 3 1/3 on khan academy
Answer:
1.5
Step-by-step explanation:
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(9/5)^3
I have no idea
Answer:
5.832
Step-by-step explanation:
PLEASE HELP ILL GIVE A HEART AND 5 STARS
Answer:
I Think it's True (If it's not please don't hate)
What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4?
y-6 = 3/4 (x-2)
y–6=-3/4(x+2)
y+6= -3/4 (x+2)
y+6= -3/4 (x– 2)
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-3/4(x-2)
y+6=-3/4(x-2)
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
I need help with this, i did part of it but i'm desperate
Answer:
Let's add more steps.
step 6: angle AEB measures 360 - 90 -90 - 70 - 39 = 71° Reason, AECF is a quadrangonal and three of its angle measures 90, 90, and (70+39)
step 7: angles AEB and ABE are congruent: reason triangle ABE is isosceles since AE is conruent to AB
step 8 Angle BAE measures 180 -71-71 = 38°: by difference from the sum of the internal angles.
step 9: Angle BAD measures 90 - BAE = 90 - 38 = 52° Reason angles BAD and BAE are complementary.
QED
What is the perimeter, in feet, of the polygon?
Step-by-step explanation:
please post the question correctly to get the answer.
2. A football is kicked in the air and its height, in metres, is given by the function h(t)=−4.9t^2+19.6t+1 , where t is measured in seconds.
a) determine the time it took to reach the maximum height
b) determine the maximum height of the ball
Answer:
27
Step-by-step explanation:
Yi = 4.0 + 1.5Xi
a. Interpret the Y intercept, b0.
Answer:
Divide each term in Y i = 4 + 1.5 X i by i and simplify.
Y = − 4 i + 1.5 X
Step-by-step explanation:
Question: What is 32^2?
Answer: The answer is 1,024.
Explanation: 32^2 is 32 x 32, which is 1,024.
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units
down on the parent function f(x)=x^2
Answer: The graph for x cubed has a steep incline levels for a little before another steep incline
explanation: Since choice B is the only one that looks like this the answer is B
|-4+5x|=16
Pls help
Pls
Answer: i believe x = 4
Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4
find the perimeter of the triangle A(4,-2) B(9,-2) C(9,10)
Answer:
30 units
Step-by-step explanation:
A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:
5² +12² = b² = 169
b = √169 = 13
The perimeter is 5+12+13 = 30 units.
Please help with this question
Answer:
D
Step-by-step explanation:
The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.
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Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.
Step-by-step explanation:
how do i solve for this?
Step-by-step explanation:
1. KOL = 90
2.KLO = 25
3.NL= 30
4.KL = 17
workings
1.for angle
KOL =90 : the diagonals of rhombus are perpendicular to each other
2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)
65+ KLO + 90 =180
KLO +155
KLO = 180 - 155
KLO = 25
3. NL = NO + LO: diagonals of the rhombus bisect each other
NL = 15 +15
NL = 30
4. Cos 25 = 15/KL
multiply by KL on both sides
KL × Cos 25 =15
divide by cos 25 on both sides
KL = 17
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
1. A store in Grand Rapids, Michigan, advertised a side-by-side
refrigerator for $1,699.99.
a. What is the sales tax if the combined state and city rate is 6%?
b. What is the total purchase price?
The store Grand Rapids in Michigan placed and advert for a refrigerator for $1,699.99, also the tax rate is 6%.
Total cost = Tax + cost of refrigerator
$2719.984
Solution
let us find 6% of $1,699.99, this will be the amount paid as tax
Tax = 6/100*$1,699.99
Tax = 0.6*1,699.99
Tax = $1019.994
Now let us find the total amount paid for the refrigerator
This will be the cost of the refrigerator plus the Tax paid
Total = 1,699.99+1019.994
Total = $2719.984
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need help with math problem give 5 stars and a good rating
Answer:
B,C,D
Step-by-step explanation:
24ft =288 in A IS FALSE
2 miles = 10560 ft B IS TRUE
1/2 miles = 2640 ft C IS TRUE
0.5 miles = 880 Yds D IS TRUE
0.5 ft = 6 in E IS FALSE
Nolan had 30 minutes to do a three-problem quiz. He spent 8 7/10 minutes on question A and 4 2/5 minutes on question B. How much time did he have left for question C?
Answer:
16 9/10 minutes
Step-by-step explanation:
She is solving 3 questions, so her total time spent =
Total time = Time spent on A + Time spent on B + Time spent on C
30 minutes = 8 7/10 + 4 2/5 + Time C
Time C = 30 minutes - (8 7/10 + 4 2/5)minutes
Time C = 30 minutes - (13 1/0 minutes)
Time C = 16 9/10 minutes
Answer: 16m 54s
Step-by-step explanation:
8 7/10 + 4 2/5 = 13 1/10 or 13m 6s
30m - 13m 6s = 16m 54s
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Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 6 and b = 12.
Step-by-step explanation:
6²+12²
36 + 144 is 180
c=√180
The length of the hypotenuse is the square root of 180.
What is a length?Length is defined as the measurement or extent of something from end to end.
Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).
Given that a = 6 and b = 12,
The Pythagorean theorem states that
c^2 = a^2 + b^2
i.e. c^2 = 36 + 144
c^2 =180
Hence, the length of hypotenuse is square root of 180.
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A bag of mixed nuts has 18 almonds, 8 cashews, and 14 peanuts. If one nut is selected, what is the probability that a peanut is chosen?
Provide the answer as a simplified fraction.
Answer:
7/20
Step-by-step explanation:
Answer:
ok so here is answer option no1
1/8 + 1/4 = 3/8
or you could do
18 plus 14 equals 32divided into 8 equals 4
Step-by-step explanation:
if this is wrong I'm very very very really really really sorry.
Three different sets of objects contain 2, 3, and 14 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
A. 28
B. 42
C. 84
D. 19
Answer:
C) 84
Step-by-step explanation:
Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84
Therefore, there are 84 unique combinations
Solve x + 5x – 14 = 0
Hey there!
Solve the equation:
Answer :x = 7/3 ✅
Explanations:x + 5x - 14 = 0
>> Add 14 to both sides :
x + 5x - 14 + 14 = 0 + 14
x + 5x = 14
6x = 14
>> Divide each side by 6 :
6x / 6 = 14 / 6
x = 14/6
Simplify the result :
14 / 6 = 2*7 / 2*3 = 7/3
Therefore, your answer is 7/3 .
More about equations:
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What is the sale price with 15% off? Original price: $110 of bears head phones
Answer:
93.5
Step-by-step explanation: