Answer:
- 2
Step-by-step explanation:
To rationalise multiply by its conjugate.
The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then
([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL
= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²
= 3 - 5
= - 2
write a missing-factor equation. 7 people went to dinner. The total
bill was $42. How much did
each person pay if the bill was
shared equally?
Answer:
If everyone contributed to the bill, everyone would have had to pay 6 dollars each.
Step-by-step explanation:
You take 42, divide it by 7 to get 6.
Please help!! worth 20 points !!
Answer:
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = [tex]\frac{22}{7}[/tex]
C = [tex]\frac{22}{7}[/tex] * 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = \frac{22}{7}
7
22
C = \frac{22}{7}
7
22
* 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
What percent of a dollar is 0.28
Step-by-step explanation:
Solution for 100 is what percent of 0.28:
Percentage solution with steps: Step 1: We make the assumption that 0.28 is 100% since it is our output value.
Answer:
28%
Step-by-step explanation:
OU
Prove algebraically that 0.5 =
Write your proof in the box, below, and use x in the working.
The concluding line has been written for you.
Therefore x =
olu
Answer:
The prove is explained below:
Step-by-step explanation:
The computation is given below:
Here we needed two equations
Let us assume x = 0.555 --------------- (1)
Now if multiplied it by 10 to the both sides
So, it would be
10x = 5.555............(2)
Now deduct equation 1 from equation 2 in order to remove the recurring decimals
(10x - x) = (5.5555 - 0.5555 )
9x = 5 (divided the both sides by 9 )
So x = 5 by 9
FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.
Answer:
Mr Lee gets 9kg
Mrs Scarlett gets 6kg
Step-by-step explanation:
First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.
We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient
15kg/10 = 1.5kg
This means that each person gets 1.5 kg of chocolate.
Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:
6*1.5kg = 9kg
And Mrs Scarlett will get the remaining, that is:
15kg - 9kg = 6kg
Mrs Scarlett will get 6kg of chocolate.
a certain coin is a circle with a diameter of 18mm. What is the exact area of either face of the coin in terms of pi (3.14)
Answer:
254.34 mm².
Step-by-step explanation:
For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.
[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]
Therefore, the area of either face of the coin is 254.34 mm².
I hope this helps!
Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?
A.) $18,000
B.) $6,000
C.) $20
D.) $300
Answer: B.) $6,000
Step-by-step explanation:
The equation shows how much Jordan has to pay per month until he is finished paying the loan.
This is a linear equation in the form: y = mx + c
y is the amount left to be paid
m is the change per month which means it is the amount paid per month
x is the independent variable that is changed which means it is the no. of months
c is a constant figure which in this case would be the amount borrowed.
With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.
The original amount of loan must therefore be:
= $6,000
PLEASE HELP if 5 more than 3 times a number is -4, what is the number?
Answer:
x = -3
hope it's helpful ❤❤❤
THANK YOU.
Hey there!
The answer to your question is "n = -3"
First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"
3n
Next, "5 more" represents addition, so "+ 5"
3n + 5
Finally, "is -4" means it is equal to -4, so "= -4"
3n + 5 = -4
Now that we have our equation, we can solve:
3n + 5 = -4
First, we subtract "5" from both sides of the equal sign:
3n = -9
Lastly, we divide both sides by "3".
n = -3
Have a terrificly amazing day!
The diagonal AC is drawn in parallelogram ABCD. Which method
can not be used to prove that AABC = ACDA?
(1) SSS
(3) SSA
(2) SAS
(4) ASA
i need the correct answer plzzzz
Answer:
12
Step-by-step explanation:
tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.
the figure below is made of two triangular prisms. what is the volume of the figure
Answer:
896 cubic inches
Step-by-step explanation:
V (Δ prism) = 1/2 · height · base · length
V (top prism) = 1/2(6)(12)(14)
V (top prism) = 504 in³
V (bottom prism) = 1/2(7)(8)(14)
V (bottom prism) = 392 in³
504 + 392 = 896
Please help don’t know answer
Answer: y= X+3
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y- intercept
4-13. Below are some methods that students from another class used to find the number of tiles in problem 4-12. Which ones are like the ones that students in your class came up with? Which ones are new or different? For each new method, describe how the student might have been seeing the picture frame to come up with that method. Then add any new strategies to your resource page. Jonas' Method: 4·10−4 Curran's Method: 10+9+9+8 Tina's Method: 10+10+8+8 Ramond's Method: 10·10−8·8 Alyssa's Method: 9·4 TJ's Method: 4·8+4
Answer:
Wakaranai
Step-by-step explanation:
Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.
Answer:
I think is 280km :))))))
Answer:
Andre covered 280km.
Step-by-step explanation:
I would say make a proportion:
?= distance covered
4 - 160
7 - ?
Solve: 7×160÷4=280.
A number divided by –8 is 7.
Equation:
Steps:
Solution:
Answer:
.
Step-by-step explanation:
Answer:
-56
Step-by-step explanation:
Let the said number be x, so
x / -8 = 7
That's the equation
On solving further, we cross multiply to have
x = -8 * 7
x = -56
That means the number is -56
8g - 5g =24.
(For a test)
Answer:
8g-5g=24.
We move all terms to the left:
8g-5g-(24.)=0
We add all the numbers together, and all the variables
8g-5g-24=0
We add all the numbers together, and all the variables
3g-24=0
We move all terms containing g to the left, all other terms to the right
3g=24
g=24/3
g=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8g-5g=24
8-5=3
3g=24
3g/3=24/3
g=8
Help please with this problem!
Answer: B.
Step-by-step explanation:
4x + 8y = 2(4y + 2x)
Answer:
B
Step-by-step explanation:
A. 4 (2x + y)
8x + 4y ( So not this! )
B. 2(4y + 2x)
8y + 4x ( This is right! )
C. 4(2x + 4y)
8x + 16y ( So not this! )
D. 8 (y + 2x)
8y + 16x ( So not this! )
HELP I NEED HELP ASAP
how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://
Answer:
use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.
Linda had 25 ounces of water in her water bottle.After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation. *
Answer:
25-X=10
Step-by-step explanation:
she started with 25 ounces and drank x so thats just subtracting.
By the way X=15
when she got in her car to drive to work,Mia had 11 1/2 gallons of gas in her tank. if she used 1/8 of the gas in her tank to get to work, how much gas does she have left?
URGENT
Solve for x in the equation x squared minus 12 x + 36 = 90.
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Answer:
It's A on edge
Step-by-step explanation:
Answer:
A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot
Step-by-step explanation:
bc im taking test :)
Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
Which did you include in your response? Check all that apply.
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).
Answer:
egg
Step-by-step explanation:
eggs are BlUe
Answer:
select all of them bc there all correct
Step-by-step explanation:
1. Compare each pair of integers using the symbols >, < or =
a. -2,[ ]-2
b. 17 [ ] 11
c. -3 [ ]7
d. -16[ ] 13
2. Order each set of integers from least to greatest
a. 98,5,46, 77, 24, 19
b. 58,46, 62, 79, 21, 6
c. 86, 65, 55, 30, 11, 41
d. 69, 65, 52, 48, 25,8
What is the slope of this line
Answer:
K=2
Step-by-step explanation:
I es Smrt
Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please
Answer:
(1,0)
Step-by-step explanation:
4/9 + 2/9 simplified
Answer:
2/3
Step-by-step explanation:
Add 4/9 and 2/9 together
6/9
Simplify.
Divide both sides by 3
6 divided by 3
2
9 divided by 3
3
So, the answer is 2/3
Hope this helps :)
Answer: 2/3
Step-by-step explanation:
4/9+2/9= 6/9
THey can be simplified by three so ur answer is
2/3
What is the measure of angle x? (Brainly + Bonus points for the best correct answer and explain)
Answer: 76
Step-by-step explanation:
If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.
Help plssss! What is the volume of this composite solid?
Answer:
B.
(づ￣ ³￣)づHave A nice day Cute Sir
Answer:
Step-by-step explanation:
160