Answer:
root 24+12 is root 36 which is equal to 6
4 root of 6 is 36 the power of 2 which is equal to 36
5 the power of 2 is 25
then when we multiple 6x36x25
it's 5400
Answer:
Answer = 1080
Step-by-step explanation:
Hey there!
Here's the initial equation:
[tex]\sqrt{24+12} * \sqrt{6^4 * 5^2}[/tex]
What I'll do now is sum what's in the left root.
[tex]\sqrt{36} * \sqrt{6^4 * 5^2}[/tex]
Since [tex]\sqrt{36}[/tex] = 6, we get this equation:
[tex]6 * \sqrt{6^4 * 5^2}[/tex]
Now: You can see that the five is elevated to the second. Since it is a square root, you can just pop it out:
6 * [tex]5\sqrt{6^4}[/tex]
6 * 5 = 30, so here's what you got:
[tex]30\sqrt{6^4}[/tex]
At this point you should see that:
[tex]6^4[/tex] = 6 * 6 * 6 * 6
6 * 6 * 6 * 6 = 36 * 6 * 6
36 * 6 * 6 = 36 * 36
36 * 36 = 36²
Now you have this:
[tex]30\sqrt[2]{36^2}[/tex]
Since it is a square root and a square number, you can do just as with the five: Pop it out! (When you take numbers out of the root they multiply, they do not add. Never forget that ;).
30 * 36 = 1080
Answer = 1080
*not drawn to scale
From her house, Jill rode her bike 5 km east, then 6 km south, and then 3 km east.
Measured using a single straight line, how far is Jill from her house?
A. 5 km
B. 8 km
C. 10 km
D. 14 km
Answer:
14
Step-by-step explanation:
Tyrone earns $8.50 an hour. How much money will he earn if he works for 5.40 hours?
Answer:
$45.90
Step-by-step explanation:
Multiply without the decimal points, then put the decimal point in the answer: 85 x 54 = 4590
8.5 has 1 decimal place
5.4 has 1 decimal place
Therefore, the answer has 2 decimal places
= 45.90
Refine: 45.9
The answer is 45.9
After completing the square, what are the solutions to the quadratic equation
below?
x2 - 7x+9 = 4
O A. X=-7 29
B. X=-
7
O C. x-}+x20
O D. x = 729
Answer:
[tex]\bold{x_1=\dfrac{7+\sqrt{29}}2\ ,\qquad x_2=\dfrac{7-\sqrt{29}}2}[/tex]Step-by-step explanation:
[tex]x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{\sqrt{29}}2[/tex]
Find the measure of the are or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
(I need help solving because I don’t understand please go step by step for this equation#1)
9514 1404 393
Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
b = 2, c = 3
a =
Answer:
A=2.2
Step-by-step explanation:
PYTHAGOREAN THEOREM:
a^2+b^2=c^2
STEP 1:
Lets put in the given number into the Theorem.
x^2+ 2^2= 3^2
I put x in the "a" place because there is no Number that goes into there, so we put in a variable.
STEP 2:
We find the numbers, which are
x^2+4=9
STEP 3:
We then subtract by 4 from both sides, (We do this because x is not the Hypotenuse)
After subtracting from both sides we have
x^2=5
STEP 4:
Once we have that, we have to find the square root of 5 which is 2.23606798
STEP 5:
Since you say to round to the nearest tenth, we get 2.2
TIP: If the answer didn't have to be rounded to the nearest tenth the answer would've been: [tex]x=\sqrt{5}[/tex] Which is the same as 2.23606798.
Brainliest pls?
[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]
GUYS AND GIRLS PLEASE HELP ASAP!!!!!!!
Answer: 8 1/8
Step-by-step explanation:
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
Ayuda es para Hoy.!!
No tiene un problema solo me sale
x=
Answer:
X=180-100
=80 is the answer
Solve the following quadratic by
completing the square.
y = x2 + 10x + 10
if I have a 68% overall and I get a A+ on a final exam that is worth 20% of my grade what would my grade be? There is 86 questions on the final
Answer:
i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.
Step-by-step explanation:
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
does any one nows how to solve this
i dont understand
help please!!!
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
What is the value of the expression below
1/4
÷
8
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8
1/4 x 1/8
=1/32
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
The additive identity of rational numbers is: *
I. 0
II. 1
III. 2
IV. -1
Answer:
i) 0 is the additive identity of rational number
Find the length of the third side. If necessary, write in simplest radical form.
10
5
Answer:
x= [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula:
[tex]a^{2} + b^{2} = c^{2}[/tex] =>[tex]10^2 +5 ^2 = x^2[/tex]
=> 100 + 25 = [tex]x^2[/tex]
=> [tex]\sqrt{125}[/tex] = x => [tex]\sqrt{25} \sqrt{5}[/tex] = x
=> x= 5[tex]\sqrt{5}[/tex]
Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)
Answer:
C
Step-by-step explanation:
First find the equation of the circle
the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know
the distance between the center (0, 0) and the point (3,5) is the radius
distance formula d² = (x2-x1)² +(y2-y1)² where (x1=0,y1=0) and (x2=3, y2=5)
d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²
(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle
Second check if any of the points are on the circle by substituting x and y with de given coordinates.
A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false
B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false
C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true
D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
Pls help, this question has been bugging me for a while.
Answer:
Step-by-step explanation:
The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths
Let x represent the missing side
6^2 = 4^2 + x^2
36 = 16 + x^2 subtract 16 from both sides
20 = x^2 and x = 2[tex]\sqrt{5}[/tex]
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
.) From the time a small airplane is 240 feet high and 5,200 ground feet from its landing runway, the plane descends in a straight line to the runway. Determine the planes angle of descent. Draw a diagram that describes the scenario.
Answer:
87.357
Step-by-step explanation:
use TOA to solve for the missing angle
let x= angle
tan(x)=5200/240
x=87.357
James goes out to eat with Janet, and their meal costs $68. There is a sales tax of 7% and Janet wants to leave a 20% tip. How much money will Janet spend on the entire meal?
Answer:
$86.36
Step-by-step explanation:
Tax: 7%, or 0.07
Tip: 20%, or 0.2
Substitute the values:
Tip: 68 * 0.07 = 4.76
Tip: 68 * 0.2 = 13.6
Just the meal cost: 1 * 68 = 68
Add these all together
4.76 + 13.6 + 68 = 86.36
Thus, the total cost of the meal would be $86.36
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
Is 3/4greater or less than 1/2....is it 1/2?
Answer: yes 3/4 is greater
converting both fractions to decimals. The decimal 0.75 is bigger than 0.5, so 3/4 is bigger than 1/2.
Answer:
3/4 is greater than 1/2.
Step-by-step explanation:
One way to compare fractions is by making them have the same denominator.
You can do this by finding the least common denominator (LCM).
First, list the multiples of each denominator.
4: 4, 8, 12, 16, 20
2: 2, 4, 6, 8, 10
As you can see, 4 is the LCM.
Now, change the fractions to where they denominators of 4.
**WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MUST ALSO MULTIPLY IT BY THE NUMERATOR.**
[tex]3/4*1/1=3/4[/tex] (STAYS THE SAME)
[tex]1/2*2/2=2/4[/tex]
Now, as you can see, 3/4 is larger than 2/4.
Therefore, 3/4 is larger than 1/2.