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gladu [14]
4 years ago
13

2√18 - 2√12 + 2√18 = A) 6√2 - 4√3 B) 12√2 - 4√3 C) 6√2 D) 12√2

Mathematics
2 answers:
Angelina_Jolie [31]4 years ago
6 0

Answer:

Your answer is 12√2  -  4√3

Step-by-step explanation:

anyanavicka [17]4 years ago
3 0

Answer:

2√18 - 2√12 + 2√18 =  

A) 6√2 - 4√3

<u> B) 12√2 - 4√3 </u>

C) 6√2

D) 12√2

Step-by-step explanation:

2sqrt18-2sqrt18=4sqrt18

4sqrt18-2sqrt12=

4sqrt18=12sqrt

2sqrt12=4sqrt3

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1.75_____, 6.75, 9.25, 11.75 / Rule:_________________
dimaraw [331]
This looks like an addition (summation is the technical term) series. Here we need to figure out the difference between each number in the series. The difference between 6.75 and 9.25 is 2.5 (You can subtract the larger number from the smaller number to find out). So, 6.75-2.5=4.25.

So the correct answer in the blank is 4.25, and the rule is +2.5.
8 0
3 years ago
Read 2 more answers
In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = \frac{180-84}{2} = \frac{96}{2} = 48°

3 0
3 years ago
How many different numbers can be obtained using five binary bits?
forsale [732]
A number composed by 5 digits: in decimal each digit can be 0,1..9 so a 5 digit number can express numbers from 0 to 99999 and they are 10 5 = 100 , 000 . A 5 bit number is something similar but with bits, i.e. binary digits.

Hope this helps ;)
8 0
3 years ago
Paul has three cube-shaped boxes. Each box is a different size
qwelly [4]

Answer:

See explanation

Step-by-step explanation:

Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below.

  • The combined volume of the three boxes is 1,197 cubic inches.
  • The area of one face of the medium box is 49 square inches.
  • The volume of the smallest box is 218 cubic inches less than the volume of the medium box.

1. The medium box has the area of one face of 49 square inches, then

a^2=49\\ \\a=7\ inches

is the side length.

The volume of the medium box is

a^3=7^3=343\ in^3.

2. The volume of the smallest box is 218 cubic inches less than the volume of the medium box, then the volume of the smallest box is

343-218=125\ in^3.

Ib is the side length, then

b^3=125\\ \\b=5\ inches

The area of one face is

b^2=5^2=25\ in^2.

3. The volume of the largest box is

1,197-343-125=729\ in^3,

then if c is the side length,

c^3=729\\ \\c=9\ inches.

4. The total height of the stack is the sum of all sides lengths:

a+b+c=7+5+9=21\ inches

5. Find the surface area of each box:

  • small 6b^2=6\cdot 5^2=6\cdot 25=150\ in^2;
  • medium 6a^2=6\cdot 7^2=6\cdot 49=294\ in^2;
  • large 6c^2=6\cdot 9^2=6\cdot 81=486\ in^2.

In total, Paul needs

150+294+486=930\ in^2

of wrapping paper. He has 1,000 square inches, so Paul has enough paper to wrap all 3 boxes.

8 0
4 years ago
What is the probability of spinning a odd number, flipping heads, then spinning a 3?
aalyn [17]

Answer:

Probability of spinning a odd number is 5/9

I don't know about flipping head

Probability of spinning a 3 is 1/9

6 0
3 years ago
Read 2 more answers
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