Simplify by rationalizing the denominator.
15√2 / √270
Answers
[tex] \frac{ \sqrt{15} }{3} [/tex] ✅
Step-by-step explanation:
[tex] \frac{15 \sqrt{2} }{ \sqrt{270} } \\ \\ = \frac{15 \sqrt{2} }{ \sqrt{270} } \times \frac{ \sqrt{270} }{ \sqrt{270} } \\ \\= \frac{15 \sqrt{2} \times \sqrt{270} }{270} \\\\ (∵ \sqrt{a} \times \sqrt{a} = a) \\\\ = \frac{15 \sqrt{540} }{270} \\ \\= \frac{ \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 5} }{18} \\ \\ = \frac{ \sqrt{ {2}^{2} \times {3}^{2} \times 15 } }{18} \\ = \frac{2 \times 3 \sqrt{15} }{18} \\ \\ = \frac{6 \sqrt{15} }{18} \\ \\ = \frac{ \sqrt{15} }{3} [/tex]
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Related Questions
A small theater sold 36 adult tickets. The ratio of adults to children was 4:3. How
many child tickets were sold?
Answers
Answer:
27
Step-by-step explanation:
if the theater sold 36 adult tickets and the ratio of adult to children was 4:3, we already know that they sold more adult tickets than children tickets. to turn 36 into 4, we divide 36/4 to get 9, 4*9=36 so we have to do this to the 3, 3*9=27. 36:27 is equal to 4:3.
Plz help will be marked BRAINLIEST!
Thanks
Answers
Answer:
a) a + c = 90
d) a + b + c + 30 = 180
e) The angles marked a and b are vertical
f) The angles marked a and c are complementary.
Step-by-step explanation:
A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.
Hope this helps! Have a wonderful rest of your day!
-kiniwih426
-bianca
Need help with math please earn 10 points
Answers
Answer:
(-4,20)
Step-by-step explanation:
Answer:
(-5, 2)
Step-by-step explanation:
the first equation is 2x+3y=-4
2x(-5)=-10 3yx2=6 -10-6=-4 first ones correct
2x-5y=-20 2x(-5) -5y(2)= -10-10=-20
both are correct
What is the Area of the Base of this Prism?
Answers
Answer:
Step-by-step explanation: the awnser is 26.5 hope this helps :)
Answer:
26.5 This is right.
Pls, help due today!
Answers
Answer:
ok
Step-by-step explanation:
Coordinate A(4,6) coordinate B(8,6) coordinate C(10,6) coordinate D(1,6)
Please mark brainliest
Jonas has 1728 copies of a 1 × 1 × 1 cube with the net
shown, where c is a positive integer and c < 100. Using
these 1728 cubes, Jonas builds a large 12×12×12 cube in
such a way that the sum of the numbers on the exterior
faces is as large as possible. For some values of c, the sum
of the numbers on the exterior faces is between 80 000 and
85 000. The number of such values of c is
(A) 39 (B) 38 (C) 37
(D) 36 (E) 35
Answers
Answer:
37 :))
Step-by-step explanation:
Look thorugh the photo B)
Sorry its diagonal
The number of such values of c is 37, whose sum
of the numbers on the exterior faces is between 80 000 and
85 000.
The correct option is (C)
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
1. Top or Bottom
Corners: (2c+100) x 8Non- corners: 10(c+100) x 4 x210 x 10x 100 x 2 =200002. Middle Layers:
Corners: (c+100)x 4 x 10Non- Corners: 100 x 10 x 4 x 10 =40000So,
(2c+100) x 8 + 10(c+100) x 4 x2 + (c+100)x 4 x 10 + 20000 + 40000
16c + 800 + 80c + 8000 + 40c + 400 + 60000
136c + 72800
As per the condition:
136c + 72800≤ 85000136c≤85000-72800c≤89
and, 136c≥80000-72800
c≥53
c= 89-53 =37
Hence, the number of such values of c is 37
Learn more about inequality here:
https://brainly.com/question/20383699
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Help with math earn 10 points
Answers
Answer:
The answer is 15 Shirts
Step-by-step explanation:
We want to know what x is going to equal that makes the equation the same.
First, I make the euations equal to each other by substituting the y -->
7x + 50 = 10x + 5
Then, I combine my similar terms --> 45 = 3x
After that, I divide by 3 to get x on its own --> [tex]\frac{45}{3} =\frac{3x}{3}[/tex] --> 15 = x
This means that after 15 Shirts are sold, the costs for both companies are the same.
plzzzz help..and give steps plzzzzzzzz
Answers
B- (2,5), (4,4), (6,3), (8,2)
C- 5/2X-4
D- 3/2X-1
graph each answer choice and look at the slope of the line rise/run
the equation for answer choice A
is Y=5-(X•2)
the equation for answer choice B is
Y=-1/2X+6
the equation for C is Y=5/2x-4
and the equation for D is Y= 3/2X-1
the slope of A is -2/1
the slope for B is -1/2
the slope for C is 5/2
the slope for D is 3/2
the answer with the greatest slope is
5/2 the answer is C
plzz help and give steps
Answers
Answer:
D, because his ratw of change ia going up quicker then the othera. will you ease attempt to help me out on my most previous question? its for a test, and i have no idea what im doing.
Natalia lives in a house that is 2 meters below sea level. Natalia goes to school every day, which is 13 meters above sea level. How many meters does Natalia travel, in altitude, when going from home to school?
Answers
Answer: Natalia travels 15 meters to get from home to school
Please answer asap. will mark brainliest
Answers
just answer the question in simple words lol
Answers
Answer:
He should have multiplied 15 tsp by 1 tbsp/3tsp.
Step-by-step explanation:
The tsp labels cancel each other out when one is the numerator and one is the denominator.
15tsp x 1 tbsp/3tsp = 15/3 = 5 tbsp
The average temperature in February for North Polar, Alaska is -11 degrees Celsius. Use the expression 9C+160/5 to find this temperature in degrees Fahrenheit. Round to the nearest degree. Then explain its meaning.
Answers
Answer:
united states says it will help the
philippines against the chinese but why
isn't the united states helping our filipinos
anymore
Step-by-step explanation:
the united states are fraudsters
the united states are fraudsters am also
a filipino
Hope it helps : )
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 7 miles?
Answers
Answer:
70 minutes
Step-by-step explanation:
if her pace for 1 mile is 10
Si Sharon ay gumamit ng 25 litrong tubig sa pagdidilig ng halaman at 30
litrong tubig sa paglilinis ng bahay. Ilang mL na tubig lahat ang kaniyang
nagamit?
Answers
Answer:
gumamit siya ng 55
Step-by-step explanation:
Explanation:
25 + 30 = 55
Magandang araw po!
The owner of a furniture store orders 6 chairs for every table she orders.
Which of the following equations can be used to find c, the total number of chairs she will order when she
orders t tables?
A. 6c=t
B. t + 6 =c
C. 6t=c
D. c +6=t
Answers
Answer:
A. 6c = t
Step-by-step explanation:
6 c- chairs for each table.for example 3 table, so 6 chairs for each table 3 * 6 = 18.2. 18 chairs for 3 tables.
HELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKK
Answers
5x - 4y + 2z :
5 (-8) - 4 (3) + 2 (-4)
-40 - 12 - 8
- 60
3x + 2 (x - 4) = 6x - 8 - x
3x + 2x -8 = 6x - 8 - x
5x - 8 = 5x - 8
Since both sides are equal, it has infinitely many solutions.
To find how many students chose flying, just add the numbers 26 and 12 to get 38 students.
Find the volume of the figure
A.) 665 ft^3
B.) 5880 ft^3
C.) 680 ft^3
D.) 560 ft^3
Answers
Answer:
C
Step-by-step explanation:
Evaluate
−
3
w
−
8
p
for
w
=
−
4
and
p
=
−
4
Answers
Answer:
1 is the answer
Step-by-step explanation:
jdjdncjdmdjdkmdkdmdkd
Answer:
44
Step-by-step explanation:
-3 w - 8 p
Where , w = - 4 and p = - 4
- 3 ( - 4 ) - 8 ( - 4)
multiply the numbers
- 3 × - 4 - 8 × - 4
12 + 32
add the numbers
44
Find the missing length of the triangle
Answers
The answer is 9
Step-by-step explanation:
(10.6^2)- (5.6^2)=81
And rhe square root of 81 is 9
Here is a Calculator the can prove the answer is right
Look at the picture for the question. Please help me only if you know!!
Answers
Answer:
Below
Step-by-step explanation:
So, the base is always going to be the bottom of our traingle, or any other shape.
The height will be what goes in the vertical direction of the base.
If your base is vertical, like: I , then your height will be horizontal, like: - .
No matter where the base is, the height will be exactly 90 degrees different(since there is a 90 degree difference between vertical and horizonatal)
Here is what I did:
HOpe this helps!
Need help with math earn 10 points
Answers
Answer:
11
Step-by-step explanation:
s=11, c=9
9+11=20
4s+2c=62
plug in the numbers
44+18= 62
we got our answer
What do you know about the angles of a right triangle?
A. only one angle is a right angle and the other two are obtuse
B. one or more angles must be right angles
C. All angles might be right angles.
D. only one angle is a right angle and the other two are acute
Answers
D. only one angle is a right angle and the other two are acute
EXPLANATION:
1. Since all angles in a triangle must sum up to 180 degrees, there may only be one angle of 90 degrees or more.
2. D is correct on Edge.
∠A=24∘and ∠B=24∘ What term can be used to describe these two angles?
A. adjacent
B. vertical
C. supplements
D.congruent
Answers
Both angles are the same degree so they would be congruent.
The answer is D. Congruent.
Question 9 Multiple Choice Worth 1 points)
(02.05 MC)
Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
Answers
The midpoint of the segment with endpoints at (-1, y) and (7, 16) is (3, 4). What is the value of y?
Answers
Answer:
-8
Step-by-step explanation:
Use the formula for mid term and equate it with the mid points
help me please please
Answers
Answer:
6.91 times 6.91 equals 47.7481
47.7481 times π equals 150.005080183
to the second digit this is
150.01
Pls help with 19 tysm its also worth branliest ty if u help
Answers
Answer:
204.8 oz total.
Step-by-step explanation:
(2*0.8) + (1*1) + (3*1.2) + (2*1.4) + (1*1.6) + (1*2.2)
1.6 + 1 + 3.6 + 2.8 + 1.6 +2.2 = 12.8
12.8 *16
What is the area of the following triangle?
A. 300 in
B. 60 in
C. 150 in
D. 72 in
Answers
Answer:
C, 150 in
Step-by-step explanation:
12 in x 25 = 300
300/2
=150 in
plz help me
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length? (5 points)
a
Group X, because no child in the group has a forearm length longer than 12 inches.
b
Group X, because four children in the group have the least forearm length of 10 inches.
c
Group Y, because a child in the group has the least forearm length of 10 inches.
d
Group Y, because six children have a forearm length longer than 12 inches.
Answers
Answer:
the answer is D sense if you count there more kids with a forearm on 13
Answer:
its D
Step-by-step explanation: