Answers
Answer:
11 - 6√3
Step-by-step explanation:
Given the expression;
5+2√3/7+4√3
Rationalize
5+2√3/7+4√3 * 7-4√3/7-4√3
= 35 - 20√3+14√3 - 24/49 - 16(3)
= 35 - 20√3+14√3 - 24/49 - 48
= 35 - 20√3+14√3 - 24
= 35 - 6√3- 24
= 35 - 24 - 6√3
= 11 - 6√3
This gives the required solution
Related Questions
what is the algebraic expression of the difference of 4 times a and b?
Answers
Answer:
4(a+b)
Step-by-step explanation:
Write an equation to fit the following situation. On Monday, 340 students
went on a trip to the zoo. All 7 buses were filled equally and 4 students had
to travel in cars.
use your equation from above to solve how many students were on each bus
will mark brainliest
Answers
Answer:
48
Step-by-step explanation:
first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48
The price of a house is originally listed at $150,000. The owners are having a hard time selling it and decide to reduce the price to $115,500. What is the percentage decrease of the price of the house?
Answers
Answer:
there is a 23% decrease in the price of the house
Step-by-step explanation:
percentage decrease of the price of the house = (price decrease of the house / initial price of the house) x 100
price decrease of the house =new price - initial price
$115,500 - $150,000 = $-34,500
( $-34,500 / $150,000) x 100 = -23%
To graph the inequality y < -5x + 3, you would draw a solid line.
A. True
O B. False
Answers
Answer:
A. True
explanation:
Inequalities that use ≤ or ≥ symbols are plotted with a solid line.
You would NOT use a solid line because it excludes equality
What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.
Answers
Answer:
The surface area of the cylinder is of 131.947 square meters.
Step-by-step explanation:
Surface area of a cylinder:
The surface area of a cylinder of height h and radius r is given by the following equation:
[tex]S_a = 2\pi r(h+r)[/tex]
What is the surface area of the cylinder with a height of 3 m and radius of 4 m?
[tex]h = 3, r = 4[/tex].
So
[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]
Height and radius are in meters, so the surface area will be in square meters.
The surface area of the cylinder is of 131.947 square meters.
Which function has the least rate of change?
Answers
Please answer this math question please and fast
Answers
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
Y
х
B В
The transformation below is applied
to AXYZ
(XY) → (0.5x, 0.5y)
What are the coordinates of point X"?
0 62.0.5)
(0.5,-2)
(2.0.5)
0 1.2, 0.5)
Answers
Answer:
(-2, 0.5) first
Step-by-step explanation:
X (-4, 1) → X' (-4*0.5, 1*0.5)
X'(-2, .5)
Which graph is the solution to x < 6
Answers
Answer:
C.
Step-by-step explanation:
hope this helps
Answer:
C
Step-by-step explanation:
C shows it being anything below six, and if x is less than six this is the correct answer.
A.
B.
C.
D.
Choose the one that would not fall on this line
Answers
Explanation:
The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.
Which theorem us shown by the diagram above?
Answers
Answer:
it is option C
Step-by-step explanation:
using Pythagoras theorem
hyp^2=adj^2+opp^2
a^2+b^2=c^2
Find the value of p when 3^p=1/9
Answers
Answer:
[tex]p = -2[/tex]
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for p .
Please help I need it in 5 minutes
Answers
If the sales tax rate is 7.6%.how much sales tax will you pay on 330
item
Answers
Answer:
25.08
Step-by-step explanation:
330 x .076=25.08
1
2.- of a number is 8, what is the number?
a ,
4
Answers
Answer:
the answer for this question is 4
HELP PLEASE ASAP PLESDE HELP
Answers
Answer:
16^¼=2
Step-by-step explanation:
16^¼=⁴√16
so, 2⁴=16
so it's 2,
verification
2×2×2×2=16
Answer:
2
Step-by-step explanation:
8n + -3n = (8 + -3)n
Is this Distributive if it appears "backwards"?
Answers
Answer:
no it doesnt matter
Step-by-step explanation:
distributive property is correct
zuma took a loan of 630 000 from the bank. he will repay the loan over 48 months at 9.5% per annum simple interest. how much interest will zuma pay on the loan
Answers
Answer:
Interest amount = 239400
Step-by-step explanation:
Below is the calculation of interest amount:
Given the loan amount or present value = 630000
Time period = 48 months or 4 years
Interest rate give = 9.5%
Total amount = P ( 1 + rt)
P = 630000
r = 9.5%
t = 4 years
Total amount = 630000 ( 1 + 9.5% x 4)
Total amount = 869,400
Interest amount = 869400 - 630000
Interest amount = 239400
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answers
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
ASAP:(
Match each system of equations to the diagram that represents its solution.
Answers
Answer:i need this answer
Step-by-step explanation:
Find measure angle GJK (5x + 8) (7x - 16)
Answers
Hi there!
[tex]\large\boxed{22^o}[/tex]
Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.
Using the Alternate Interior Angle theorem:
m∠HJI = m∠JHG, so:
7x - 16 = 5x + 8
Solve for x:
2x - 16 = 8
2x = 24
x = 12
Substitute in this value of x to solve for m∠HJI:
7(12) - 16 = 84 - 16 = 68°
Thus:
m∠GJH = 90 - 68° = 22°
Help, please
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
g(x)=2x+h+k
Answers
Answer:
g(x)=2x-1+7 or g(x)=2x+6
Step-by-step explanation:
Its the opposite when your subtracting and adding
Will mark brainliest ❤️
Answers
Answer:
The answer is A
Step-by-step explanation:
Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps
How many terms are in the following expression:
45x + 13x − 19 + 16/3(3)x − 21.5
Answers
Answer:
45+13−19+163(3)⋅\−21.5 They also have a pdf if you need it
unit 6-10 answer key.pdf
Step-by-step explanation:
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
Answers
Step-by-step explanation:
would you still like me to help you with this question
Answer:
0.3
Step-by-step explanation:
What angle is this?
-Complementary
-Supplementary
-Vertical
-Adjacent
Answers
Answer:
Adjacent
Step-by-step explanation:
Since angle a and b are right next to each other, they would be adjacent.
This is a grade pls help asap i need tye answer quickly.
Answers
Answer:
the first question I think yes cause the second one says that there is y line
the y intercept is 9
Find the a value, b value, and c value.
Answers
Answer:
aX²+bX+c=0
a=1
b=-8
c=12
B=-8
C=12
I hope this helps!
The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a rectangle with a perimeter of 34 inches and a length of 5 inches. In your final answer, include all necessary calculations.
Answers
Answer:
12 inches
Step-by-step explanation:
5 + 5 = 10
34 - 10 = 24
24 ÷ 2 = 12
Therefore, the answer is 12 inches.
Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form. Use "/" for fractions with no s
Answers
Answer:
The theoretical probability that the spinner below lands on the letter B is 1/2
Step-by-step explanation:
Given
[tex]S =\{A,B,B,B,C,C\}[/tex]
[tex]n(S) = 6[/tex]
See attachment for spinner
Required
P(B)
From the attached spinner, we have:
[tex]n(B) = 3[/tex] --- occurrence of B
So:
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{3}{6}[/tex]
[tex]P(B) = 1/2[/tex]