1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NARA [144]
3 years ago
8

Simplify. Remove all perfect squares from inside the square root. V180=

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Answer:

6√5

Step-by-step explanation:

We have to solve the expression \sqrt{180}

Break 180 into its factors which are in the perfect square form.

Since, 180 = 9 × 4 × 5

                 = 3² × 2² × 5

Therefore, \sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}

                           = \sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5} [Since \sqrt{ab}=\sqrt{a}\times \sqrt{b}]

                           = 3 × 2 × √5

                           = 6√5

Therefore, solution of the given square root will be 6√5.

You might be interested in
Laura jog around the soccer field that 80m by 120m.how many yards does she goes around the field two times?​
exis [7]

A rectangle has two couples of equal sides, so a soccer fields has two 80-meters sides and two 120-meters sides.

This leads to a perimeter of

120+120+80+80=400 \text{ m}

If you go around it twice, you'll run 800 meters

8 0
4 years ago
The functions q and r are defined as follows.
UkoKoshka [18]
Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15
3 0
4 years ago
Write 3/100 as a decimal​
Vlada [557]

Answer:

0.03

Step-by-step explanation:

There are two 0s so it is 0.03

7 0
4 years ago
The total combined volume of a glass, a jar, and a pitcher is 54 liters. If the jar has the same volume as 3 glasses and the pit
lutik1710 [3]

Answer:

6 liters.

Step-by-step explanation:

So we have a glass, a jar, and a pitcher and together, they hold 54 liters.

We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:

g+j+p=54

Since  jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:

g+(3g)+(5g)=54

Combine like terms:

9g=54

Divide both sides by 9. The left cancels:

(9g)/9=54/9\\g=6

Therefore, the volume of the glass is 6 liters.

7 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet,
Anika [276]

Answer:

7.7 ft

Step-by-step explanation:

The third longest side is also the second shortest side.

The 14 ft side of quadrilateral ABCD corresponds to the 6 ft side of quadrilateral EFGH.

14/6 = 18/x

7/3 = 18/x

7x = 18 * 3

7x = 54

x = 54/7

x = 7.7

Answer: D. 7.7 feet

4 0
3 years ago
Read 2 more answers
Other questions:
  • Some of the animals that you can ride on the jungle carousel are lions,
    12·2 answers
  • How music concert, 70% tickets are sold. Only 210 tickets are available.
    11·1 answer
  • PleaseI really need help on this please
    10·2 answers
  • A beach resort is offering two weekend specials. One includes a two night stay with 3 meals and costs $195. The other includes a
    11·1 answer
  • Calculate GPA of following student. Answer using 4 decimal digits
    5·2 answers
  • Why is the distributive property appropriate for two-digit multiplication?
    12·1 answer
  • Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years. Suppose also that exactl
    15·1 answer
  • Find the aspect ratio width/length of a ping-pong table which is 108 inches long and 5 feet wide. If child's
    10·1 answer
  • R-C=P solve for C Has to Be all capitals and be in that order
    10·1 answer
  • I need help I am stuck on this question and I'm not sure if this is the answer.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!