[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]
[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]
[tex]\\ \rm\Rrightarrow 2.5[/tex]
[tex]\\ \rm\Rrightarrow 2(approx)[/tex]
Answer:
Algebraic "proof" that the solution is 2:
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]
[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]
[tex]=2[/tex]
However, this is not the correct mathematical solution to the problem.
The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.
As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.
If [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.
As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]
So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.
what is the product of? (2x - 1)(x + 3)
Question 10 (2 points)
D=M/V
Toy car has a mass of 250grams and a volume of 50cm3. What is the density?
a
9g/ml
b
9g/cm3
c
5g/cm3
d
5g/ml
Answer:
D
Step-by-step explanation:
mass =250 g abd volume = 50cm^3 = 50 ml
Density = mass/volume
Density = 250/50 =5 g/ml or 5g/cm^3
A cylinder has a base radius of 10in and a height of 10in. What is its volume in cubic
in, to the nearest tenths place?
Answer:
3141.59
Step-by-step explanation:
V=πr2h=π·102·10≈3141.59265
Jan says that 2 is between 0 and 3/4 on a number line. Do you agree? Why or why not?
Answer:
No
Step-by-step explanation:
2 is a positive whole number with a value greater than 1. 3/4 is NOT greater than 1. So 2 is greater than both 0 AND 3/4 and cannot be between the two numbers.
No, Jan is wrong because 2 is not in between 0 and 3/4 on a number line.
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Jan says that 2 is between 0 and 3/4 on a number line.
Here, The numbers on the number line are 0 and 3/4.
⇒ 3 / 4 = 0.75
So, We get;
⇒ 2 > 0
And, 3/4 < 2
Thus, The number 2 is not in between 0 and 3/4 on a number line.
Learn more about the number line visit:
brainly.com/question/28223520
#SPJ2
Help.: 'A triangle has the side lengths shown.'
'Write an expression in simplest form that represents the perimeter of the triangle.'
Answer:
[tex]9x + 30[/tex]
Step-by-step explanation:
Perimeter is the sum of all sides so just add the length of all the sides together.
Remember to expand 4(x+3)
Answer my question in the image please :)
Answer:
B
Step-by-step explanation:
I hope this helps! :) If you need an explanation, let me know. Other than that, have a lovely day!! <3
A(2;3) is ok on B and C
B(2 ; 6) is ok on B
C (8 ; 7) is ok on B as well
and
D (8 ; 3) is ok on B
=> B
Find the length of the longer diagonal of this parallelogram.
Answer:
10.8
Step-by-step explanation:
Rounded to the nearest tenth
The length of the longer diagonal of this parallelogram is 10.8.
What are the definitions and properties of a parallelogram?A parallelogram is a rectangle with two pairs of parallel sides. The lengths of the opposite sides of the parallelogram are equal, and the angles of the opposite sides are the same. Also, the internal angles on the same side of the transversal are complementary. The sum of all internal angles is 360 degrees.
A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The lengths of the opposite or opposite sides of the parallelogram are equal, and the angles of the opposite sides of the parallelogram are equal.
Learn more about parallelogram here: https://brainly.com/question/970600
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Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B ? (will give brainliest)
Answer:
No
Step-by-step explanation:
Does the system of equations below have no solution, 1 solution, or infinite solutions
= 2 − 1
= 2 + 4
Answer:
no solution
Step-by-step explanation:
y = 2x - 1 → (1)
y = 2x + 4 → (2)
substitute y = 2x - 1 into (2)
2x - 1 = 2x + 4 ( add 1 to both sides )
2x = 2x + 5 ( subtract 2x from both sides )
0 = 5 ← not possible
This indicates the system has no solution
there is a loss of 20% by selling a photocopy machine for rs 60000 at what price will the machine be sold to gain 12% find it
Answer:
Step-by-step explanation:
Loss is 20%
S.P=Rs60000
C.P=S.P*100/100-loss%
=60000*100/80=Rs75000
So he brought is at Rs75000
Now he wants 12% profit
So
S.P=(100+profit%)/100*C.P
=100+12/100*75000
=112/100*75000=Rs 84000
He will have to sell Rs14000 more to gain profit of 12%
What is the area of this composite figure
189.25 in2
228.5 in2
150 in2
78.5 in2
Answer:
189.25 in²
Step-by-step explanation:
First, let us find the area of the rectangle.
Area = Length × Width
= 15 in × 10 in
= 150 in²
Then let us find the area of the semicircle.
Area = [tex]\frac{1}{2}[/tex] × π r²
= [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5
= 0.5 × 3.14 × 25
= 1.57 × 25
= 39.25 in²
Now let us find the total area of the composite figure.
Total area = Area of the rectangle + Area of the semi-circle.
= 150 in² + 39.25 in²
= 189.25 in²
Subtract 3x-4 from -7x+2 help asap I am on a math assignment and I don’t know the answer
the answer is :
[tex]-4x-2[/tex]
how to do it:
[tex]3x-7x-4+2[/tex]
[tex]3x-7x-2[/tex]
[tex]-4x-2[/tex]
need help fast----Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?
y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24
Answer:
The Answer Is B
Step-by-step explanation:
Took the quiz
Answer:
its B
Step-by-step explanation:
i did the quiz and im verifying the other person's answer :)
plant a starts from 2 incher and grows at a constsnt rate of 3 inches every 4 week
answer the questions!!!!!!!!
Answer:
hiiiiii
Step-by-step explanation:
-3 1/4 x+25 =2 1/4x-13 1/2
Answer:
x = 5348/45
Step-by-step explanation:
Points A, B, C, and D are on the same line segment. The length
of AB is 2 cm, the length of BC is 3 cm, and the length of BD
is 6 cm. Which of the following is NOT a possible order of
points on the line segment?
F. ABCD
G. BACD
H. DABC
J. BADC
K. DCBA
SHOW EXPLANATION
Answer:
english man english
Step-by-step explanation:
What is the greatest six-digit number that can be written using all six digits below?
948285
Answer:
988542
Step-by-step explanation:
Highest numbers first because they hold greater values.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
HELP ASAP.....NO LINKS AND NO TROLLING PLS
How the equation changes
Flip over x-axis: __________ the entire function by a negative number
Flip over y-axis: __________ every x in the function by a negative number
Answer:
When you flip over the the x-axis, the y-coordinate becomes the additive inverse. I.e. ; if I flipped over the x-axis, a (x,4) would become (x,-4). When you flip over the y-axis the x becomes the additive inverse. (x,4) will become (-x,4)
Step-by-step explanation:
If this helped you, you're welcome. If you have any questions, LMK.
Have a good day, and good luck! ⭐
Which best describes the solution set of the compound inequality below?
2 + x ≤ 3x – 6 ≤ 12
a: 4 ≤ x ≤ 9
b: 4 ≤ x ≤ 6
c: –2 ≤ x ≤ 2
d: –2 ≤ x ≤ 3
I can't see it redo it so I can answer
Answer:
I believe the answer is B
Talhah drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
Answer:
He will drive 180 miles in 4 hours. ( I think)
Step-by-step explanation:
If he keeps going at his rate which is 45 mph then if you multiply that by 4 then your answer should just be 180 miles.
Answer:
180 miles
Step-by-step explanation:
so he goes 45 miles per hour
since you need to find 4 hours just multiply 45 by 4
45 x 4 = 180
there's your answer
0.6x-5=0.1x+7 what is the answer
Answer:
x = 24
Step-by-step explanation:
0.6x=0.1×x+7+5
0.6x=0.1×x+12
0.6x−0.1×x=12
0.5x=12
x=24
Answer:
x=24
Step-by-step explanation:
In parallelogram BKMH (angle)K = 6x – 15 and (angle) M = 2x + 19. Find the degree measure of angle B
Answer: 63
Step-by-step explanation:
Please help me with this question.. please.
y= 30,000x - 2000
y= -2000x +30,000
Answer:
y = -2000x + 30,000 is the correct answer.
Step-by-step explanation:
For slope intercept equation we first determine the intercept on the axis.
The intercept is a constant value, c, in the slope intercept equation.
In this case, the constant value is 30,000.
Our height, y, is directly proportional to minute,x, taken to descend.
y = mx + c
M is the slope/ gradient which is -2000 since the airplane is descending.
Since the plane descends 2000 feet per minute, its height after 1 minute should be:-
y = -2000(1) + 30,000
y = 28,000
This calculation confirms our above answer.
Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of taxable income. The city rate is 1.7% of gross pay. Medical and group life insurance is paid by the company. Social security and Medicare are withheld .Union dues are $156 per year. FIT is $67 per pay period what is your net pay for each weekly pay period
Answer:
First, in one year you win:
$28,460
Now yearly we can subtract:
3.6% for the taxable income
1.7% for the gross pay:
(Those apply to the complete annual salary)
3.6% + 1.7% = 5.3%
This in decimal notation is 0.053, then paying those two things we have left:
$28,460*(1 - 0.053) = $26,951.62
Now we need to subtract the union dues, which are $156 per year.
$26,951.62 - $156 = $26,795.62
Now, this is yearly, and we want to know the weekly pay.
In one year we have 365 days.
One week has 7 days.
Then in one year, we have:
365/7 = 52.14 weeks.
Then the pay per week is:
$26,795.62/52.14 = $513.92
And now, each week we must pay $88 for state personal deductions, and $67 for FIT.
Then we have:
$513.92 - $88 - $67 = $358.92
Then the net pay for each weekly pay period is: $358.92
Can u solve this for me guys
The second exercices are equations
Answer:
the answer for number one is -2851/5 simplified its -570 1/5 or -570.2
(u can use photo math)
Step-by-step explanation:
Kevin claims that the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself is 156° since 180(15−2)15=156. Decide if Kevin is correct. If Kevin is correct, enter 156 below. If Kevin is incorrect, enter the correct value of the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself.
Answer:
Step-by-step explanation:
The formula for calculating the interior angle of a polygon is expressed as;
sum of internal angle = (n-2)180 where;
n is the number of sides of the polygon in consideration.
Given a 15 sided polygon, n = 15
sum of internal angle = (15-2)180
sum of internal angle = (13)180
sum of internal angle = 2340
Hence kevin is wrong, the correct answer is 2340
What is the perimeter of a square if its area is 50 cm??
Answer:
28.4 (rounded)
Step-by-step explanation:
7.1 times 7.1 is 50. To calculate area, you need to multiply 2 of the sides. so, that is the side length.
then, you multiply it by 4 for all four sides. that would be 28.4.
Answer:
54 or 30
Step-by-step explanation:
Perimeter is adding all the sides together. Area is multiplying LxW and 50 can be gotten by multiplying 5 by 10, or 25 by 2. So if you went by 5x10, both lengths would be 5 and the widths would be 10 or vice versa. Same goes for if you multiplied 25 by 2.
which equation make the line shown here?
y=-5(x-2)-1
y=-5(x+2)-1
y=-5(x-1)-2
y=-5(x-3)+4
y=-5(x+3)+4
y=-5(x+4)-3
Answer:
y= -5(x+3)+4
Step-by-step explanation:
Karen spent half of her weekly allowance playing mini golf. To earn more money her parents let her wash the car for $9.
What is her weekly allowance if she ended with $15?
Define the variable :
Write an equation with the variable to represent the situation:
Solution (value of the variable) :
Answer:
$12
Step-by-step explanation:
(1/2)allowance plus 9 = 15
1/2x + 9 = 15
allowance is $12