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
EleoNora [17]
3 years ago
14

How can I simplify these?

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

\large\boxed{343=7\sqrt7}\\\boxed{10\sqrt{96}=40\sqrt6}

Step-by-step explanation:

343=7^3=7^2\cdot7\\\\\sqrt{343}=\sqrt{7^2\cdot7}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{7^2}\cdot\sqrt7\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=7\sqrt7\\=====================\\\\96=16\cdot6\\\\10\sqrt{96}=10\sqrt{16\cdot6}=10\sqrt{16}\cdot\sqrt6=(10)(4)\sqrt6=40\sqrt6

You might be interested in
Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4
ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0
3 years ago
What is the measure of angle D?<br><br> 52o<br> 54o<br> 57o<br> 126o
Vika [28.1K]

Answer:

where is angle D (inside your brain)

4 0
3 years ago
She bought a ham, 3 pounds of cheese and an 8-pack of tissues for $17.44. What was the unit price for the tissues?
Sever21 [200]

Answer -9                                                                                                                      

Step-by-step explanation:

-6 divided by 2/3 = -9 2/3 multiplied by -9= -6

7 0
3 years ago
How to solve this equation: 4(x+3)squared = 25(x-2)squared.
Setler79 [48]
4(x + 3)² = 25(x - 2)²

Square root both sides:
2(x+ 3) = 5(x - 2)

Distribute 2 and 5:
2x + 6 = 5x - 10

Take away 2x from both sides:
6 = 3x - 10

Add 10 to both sides:
16 = 3x

Switch sides:
3x = 6

Divide both sides by 3:
x = 2

Answer: x = 2
4 0
3 years ago
What is 80% as a simplified fraction
Nataly_w [17]

Answer: 4/5

Step-by-step explanation:

Step 1: Put the percent over 100

- 80/100

Simplify it by dividing both the numerator and denominator by a common factor, aka 10

- 80/10 - 8

100/10 - 10

- 8/10

Simplify it again by dividing both the numerator and denominator by a second common factor, aka 2

= 8/2 - 4

10/2 - 5

- 4/5

Cannot be simplified any further.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true about the rectangular pyramid below? Select three options.
    13·2 answers
  • Can you use the ASA postulate or the AAS theorem to prove the triangles congruent?
    8·2 answers
  • Mrs. Butterworth made 36 cupcakes for her 5th grade class. Some of the cupcakes were chocolate and some were strawberry. If 2/3
    13·1 answer
  • Measure the length of a bulletin board in centimeters and in meters,how will the number of centimeters and the number of meters
    6·2 answers
  • Which measurement shows the smallest volume?
    13·2 answers
  • Does anyone wanna be friends lol?
    13·2 answers
  • Help me!!<br> solve for d
    9·1 answer
  • Hey guys! Does anybody know the answer to tan2x-2cosx=0
    7·1 answer
  • Write (2x – 1) (3x – 1) in standard form.
    12·1 answer
  • How do you solve this?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!