Find the value of the variable. Leave your answer in simplest radical form.
a) 2√10
b) 2√5
c) √5
d) √10
i'll give brainliest !! please
Answers
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]
so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]
cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator
lets do
[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]
Related Questions
Bernice paid $162 in interest on a loan if $1,800 borrowed at 6%. How long did it take her to pay off the loan?
Answers
Answer:
1.5 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
t = 162 / ( 1800 × 0.06 ) = 1.5
t = 1.5 years
The time required to
accumulate simple interest of $ 162.00
from a principal of $ 1,800.00
at an interest rate of 6% per year
is 1.5 years (about 1 years 6 months).
Copy and insert two pairs of brackets to make the equation true. 1 + 2 x 3 + 4 x 5 +6 x 7+ 8 x 9 = 505
Answers
Answer and explanation:
1For BODMAS to apply to the equation and five us the correct result of 505, we did have to place the brackets where they should be and show the order of operations using the BODM
1 + 2 x 3 + 4 x 5 +6 x 7+ 8 x 9 = 505
1+(2
Kyle's house has a taxable value of $139,000. His property tax rate is 0.25%. How much will Kyle have to pay in property taxes?
What is the answer????
Answers
Answer:
$347.50
Step-by-step explanation:
0.25% of 139000 = 0.0025 × 139000 = 347.5
PLEASE HELP
The table shows values for functions f(x) and g(x)
What is the solution to f(x) = g(x) select each correct answer
Answers
Answer: -3 and 0
Step-by-step explanation: f(x) = g(x) where they intersect. Two lines intersect when they have the same x and y values.
There are eight employees on the Game Shop's sales teams. Last month, they sold a total of g games. One of the sales teams members, Chris, sold seventeen fewer games than what the team averaged per employee. How many games did Chris sell?
Answers
Answer:
g/8 - 17
Step-by-step explanation:
Number of employees = 8
Total games sold = g
Average sales per employee = total games sold / number of employees = g/8
Chris sold 17 fewer games than the average sales per employee :
Chris sale = average sale per employee - 17
Chris sales = g/8 - 17
Sue is 5 years older than Ann. In 6 years, Sue’s age will be 11 years less than twice Ann’s age then. How old is each person now?
Answers
Witch one would you pick
be honest
starbucks, bobo, tallys world , or boba... you pick say in order what your favs and what you get from there
Answers
Answer:
I prefer Starbucks, and I get the Cookies and Cream Frappuccino.
Step-by-step explanation:
Because it taste good
Answer:
Pumpkin spice latte from Starbucks ( when they have it ) or mango boba
Step-by-step explanation:
Complete the equivalent fraction.
1/8 ? /56
Answers
Answer:
1/8 = 7/56
Step-by-step explanation:
here you go:) [(-2/3, 7/2]. 3x-8y = 1. * 16x+2y=1114. + 24x+8y=44. 27y=45. (2x-5y=-472. 4x+3y=5. - 4x70y=8. 13y=13. 27 27. (5x-2y=-15 )s. [ 7x+3y=18 ) 2.
Answers
Answer:
Step-by-step explanation:
BRO I DONT KNOW HELP CRI
-2(p - 1) = 15 HELPPP PLEASEE
Answers
Answer:
p = -6.5
Step-by-step explanation:
-2(p-1) = 15
p-1 = -7.5
p = -6.5
-2p + 2 = 15
Subtract 2 on both sides.
-2p = 13
Divide by -2 on both sides.
p = -6.5
5 over 4 multiplied by 12
Answers
Answer:
the answer is 15
Step-by-step explanation:
5/4 x 12 = 15
15
Step by step Explanation
[tex] \frac{5}{4} \times 12[/tex]
[tex] \frac{60}{4} [/tex]
Here is part of a train timetable.
Brighton
0718
0725
0728
London
0900
0832
08 48
Gavin gets to the station in Brighton at 0705
a) Work out how many minutes he has to wait until 07 18
minutes
(1)
b) Work out how long it will take the 07 18 train to get to London.
Give your answer in hours and minutes.
hr(s) min(s)
(2)
Total marks: 3
Answers
The daily special at the House of Pies offers one of three featured pies and your
choice of coffee, tea, milk or juice. How many ways can you order the special?
A. 8
B. 12
C. 15
D. 7
Answers
Answer: D.7
so you can order the special 7 different ways
a pie and coffeea pie and tea a pie and milk a pie and juice(5x + 45 to the 6th power.)4
I woke up with my nail like this- WHAT HAPPENED IN MY SLEEP
Answers
Answer:
is it nail polish..............
Todoroki's training practice starts at 9:45 A.M and ends at 12:35 P.M. How long is Todoroki's training practice?
Answers
Answer:
2 hours and 9 minutes
Step-by-step explanation:
5.
Identify the mapping diagram that represents the relation and determine whether the relation is a function.
{(–3, –6), (–1, –6), (5, –6), (8, –6)}
Which of the following is true?
A. choice a.
B. choice d.
C. choice c.
D. choice b.
Answers
Answer:
The answer is D. choice B. The coordinate point CAN share the same y point but, CANNOT share the same x point
Step-by-step explanation:
For all values of x, y = - 6
Your function:
y = - 6
help QUICK I HAVE 17 MIN LEFT WILL GIVE BRAINLIEST
Answers
Answer:
5 : 9
Step-by-step explanation:
Westlane’s gym can hold up to 500 people. Studenttickets are $2 and adult tickets are $5. Mr.Pitcok wants to raise at least $1000 from ticket sales.Write a system of inequalities torepresent the situation and graph the inequalities.
Answers
Answer:
2s + 5a > 1000
s + a < 500
Key:
s represents a sold student ticket
a represents a sold adult ticket
Please Help ASAP!! Will Mark BRAINLIEST! Solving Equations with Distributive Property.
1) -18 = 5-(6k - 19)
2) 6(8 - 3x) - (2x + 1) = 107
Answers
Answer:
1: k = 7
2: x= - 3
Step-by-step explanation:
sorry i don't know if u need an explanation
hope it helped tho
Step-by-step explanation:
Explanation in the pic
abcdefg
Is 7.9 greater less than or equal to 6.964
Answers
Answer:
It is equal to each other
Step-by-step explanation:
What will be true about the sixth term in the pattern below?
1, 2, 4, 8, ...
It will be an even number greater than 16.
It will be an even number greater than 32.
It will be an odd number greater than 16.
It will be an odd number greater than 32.
Answers
<><><><>Simple true and false math<><><><>
Answers
Answer:
true
Step-by-step explanation:
just my opinion but for me it's true
Answer:
TRUE I AGREE WITH THE PERSON UP ABOVE
Step-by-step explanation:
6 ft
3 ft
6 ft
15 ft
Find the area of the figure above.
Answers
Answer:
15ft
Step-by-step explanation:
if you mean the area that is blank
(Tell me if i'm wrong)
Answer:
the answer would be 90 because the big triangle is 72 and the rectangle is 18
Put the following numbers in order from least to greatest 6.-3, 0, 4.-5
Answers
Answer:
-5, -3, 0, 4, 6
Step-by-step explanation:
Answer:
-5,-3,6,4,0
Step-by-step explanation:
I just did least to greatest
enlarge the triangle by scale factor -1.5 with centre of enlargement (3,6)
Answers
Answer:
send a picture
Step-by-step explanation:
3(m + 3) =
help . I’m struggling
Answers
Answer:
3m + 9
Step-by-step explanation:
Use distributive property
Need help ASAP due in 30 minutes!
Answers
Hope you get it turned in in time!!!
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answers
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
plz help me and show your work, will give brainliest to who ever answers first and is right.
Answers
Answer:
6
Step-by-step explanation:
2y=12
Divide each term by
2
and simplify.
y
=
6
Answer:
x = -2 and y = 3
Step-by-step explanation:
plug in the x = 3y - 8 into the x for the top equation
so it looks like this...
-3(2y - 8) + 2y = 12
solve
-6y + 24 + 2y = 12
-4y + 24 = 12
-24 -24
-4y = -12
divide bye -4
y = 3
plug in y = 3 on the second equation
x = 2y - 8
x = 2(3) - 8
x = 6 - 8
x = -2
I think it's a but not sure could you tell me if I'm right or if not tell me the answer
Answers
Answer:
Leonardo emiliano Castañeda
Answer:
Your answer is correct.