Rewrite the radical as a rational exponent.

A. -4, -1, 2, and 5

5,0 is not a solution to the system of linear inequalities.

Answer:

x = 43.9

Step-by-step explanation:

sin 20° = 15/x

0.3420 = 15/x

x = 43.86

Answer:

x = 121

Step-by-step explanation:

all angles sum = 540

87 + 92 + 105 + 135 = 419

540 - 419 = 121

Answer:

i dont know im just doing this for the points

The solutions of x in the equation are -5 and -1

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation is given as

(x + 3)^2 - 4 = 0

Add 4 to both sides of the equation

So, we have

(x + 3)^2 = 4

Take the square root of both sides

x + 3 = ±2

Subtract 3 from both sides

x = - 3 ± 2

Evaluate

x = (-3 - 2, -3 + 2)

This gives

x = (-5, -1)

Hence, the solutions of x in the equation are -5 and -1

Read more about equations at

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Answer: Area of a circle= πr²

Data:

diameter=11 in

ratius=diameter/2=11 in/2=5.5 in

Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈

≈95.0 in².

answer :  c  95.0 in²

Answer:

17.25

Step-by-step explanation:

8556 / 32 / 15.5 = 17.25

Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Answer:

0.09 = 9% probability that the student is proficient in neither reading nor mathematics

Step-by-step explanation:

We solve this question treating the events as Venn probabilities.

I am going to say that:

Event A: A student is proficient in reading.

Event B: A student is proficient in mathematics.

A total of 82% of the students were found to be proficient in reading

This means that [tex]P(A) = 0.82[/tex]

74% were found to be proficient in mathematics

This means that [tex]P(B) = 0.74[/tex]

65% were found to be proficient in both reading and mathematics.

This means that [tex]P(A \cap B) = 0.65[/tex]

What is the probability that the student is proficient in neither reading nor mathematics?

This is:

[tex]P = 1 - P(A \cup B)[/tex]

In which

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

With the values that we have:

[tex]P(A \cup B) = 0.82 + 0.74 - 0.65 = 0.91[/tex]

Then

[tex]P = 1 - P(A \cup B) = 1 - 0.91 = 0.09[/tex]

0.09 = 9% probability that the student is proficient in neither reading nor mathematics

Answer:

4/7=116/203

Step-by-step explanation:

Answer:

46 long and i hope its right

Answer:

Round to the nearest hundredth.

Answer:

160.57

Step-by-step explanation:

The formula is:

[tex]angle/360 *\pi *radius^2[/tex]

Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.

[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]

= [tex]160.57029...[/tex]

Rounded to the nearest hundredth this would be 160.57

Since all sides of a square are the same, the area of a square is one side squared.

Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.

The opposite is to square root the area. If you calculate the square root of 16, you get 4.

In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.

Easy as that, you get your answer!

5x

Answer:

15

Step-by-step explanation:

Answer:

Answer in the picture posted

Area of square pyramid:

⅓×[base area]×height

according to the question

⅓×[8×8]×12

simplify parentheses:

⅓×64×12

Simplify fraction

64×4

Simplify multiplication

256

256      did the test on k12 Answer:

c

Step-by-step explanation:

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Answer:

Step-by-step explanation:

x^2 - 4x + 20 = 0

x^2 - 4x = -20

x^2 = 4x - 20

x = 2x - 4.47

-3x = -4.47

x = roughly 1.5

Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!

Step-by-step explanation:

Answer:

well i can't find the missing measure if the actual measure is missing

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

plug 16 in for c so it's 16 -9 = 7

Answer:

The number he think of is 15

Step-by-step explanation:

Let x be the number

3x + 9 = 54

x = (54-9) / 3

x = 15

The number he think of is 15

Answer:

15

Step-by-step explanation:

3x + 9 = 54

x = (54-9) / 3

x = 15

The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Lets suppose here that:

Suppose A' and B' are their complementary events, then we have:

Then, by the given data, we have:

[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]

We've to find [tex]P(A' | B')[/tex]

Using chain rule, we have:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

Learn more about probability here:

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Answer:

9514 1404 393

Answer:

  D and E are each 62 cm

Step-by-step explanation:

Apparently, you want the total width of the bookcases to match the width of the wall.

  132 +92 +108 +w +w = 456

  332 +2w = 456

  2w = 124 . . . . . . . subtract 332

  w = 62 . . . . . . . . . divide by 2

The width of bookcases D and E is 62 cm.

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

Answer:

B

Step-by-step explanation:

i got it right