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slega [8]
3 years ago
8

Simplify each radical expression

Mathematics
1 answer:
nlexa [21]3 years ago
3 0
31.
5 \sqrt{6}  - 3 \sqrt{6}  = 2 \sqrt{6}
32.
\sqrt{2} ( \sqrt{8}  +  \sqrt{6} ) \\  \sqrt{16}  +  \sqrt{12}  \\ 4 + 2 \sqrt{3}
33.
(3 \sqrt{2}  - 2 \sqrt{5} )(4 \sqrt{2}  + 2 \sqrt{5} ) \\ 12 \sqrt{4}  + 6 \sqrt{10}  - 8 \sqrt{10}  - 4 \sqrt{25}  \\ 24 - 2 \sqrt{10}  - 20 \\ 4 - 2 \sqrt{10}
pls mark me as brainliest
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Find the value of using identities 996^2
Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

{996}^{2}  \\  =  {(1000 - 4)}^{2}  \\  =  {1000}^{2}  - 2 \times 1000 \times 4 +  {4}^{2}  \\  = 1000000 - 8000 + 16 \\  = 1000016 - 8000 \\  = 992,016 \\

5 0
3 years ago
How do we calculate 25% of 300
Natali5045456 [20]
25% is equal to \frac{1}{4}. To get 25% of 300, we multiply 300 by either 0.25 or \frac{1}{4}. This gives us (300)( \frac{1}{4}) =  \frac{300}{4}  =  \frac{150}{2} = 75
4 0
3 years ago
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How many bit strings of length 12 contain exactly three "1s"
Inessa [10]
There are \dbinom{12}3=220 such strings, provided that the ordering of the bits doesn't matter.
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3 years ago
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The admission fee at an amusement park is $1.75 for children and $4.80 for adults. On a certain day, 303 people entered the park
Nookie1986 [14]

Answer:

Children 188

Adults. 115

Step-by-step explanation:

Let the no. of children be x and adults be y

x + y = 303

x = 303 - y. .... .....(1)

1.75x + 4.80y = 881. ...........(2)

Substituting,

1.75(303-y) +4.80y = 881

530.25 -1.75y + 4.80y = 881

530.25 + 3.05y = 881

3.05y = 881 - 530.25

y = 350.75 / 3.05 = 115 = adults

Children = 303-115 = 188

3 0
3 years ago
Question: 1. What is the value of x? Show your work to justify your answer. (2 points) 2. What is the value of the exterior angl
GaryK [48]

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116


3 0
3 years ago
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