The diagram shows a regular hexagon and a parallelogram.
х
(112°
Work out the size of the angle marked x.
You must show all your working.
7
a
Total marks: 4​

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:

x = 121

Step-by-step explanation:

all angles sum = 540

87 + 92 + 105 + 135 = 419

540 - 419 = 121

Answer:

caca

Step-by-step explanation:

Answer:

x = 43.9

Step-by-step explanation:

sin 20° = 15/x

0.3420 = 15/x

x = 43.86

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/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:38.07

Step-by-step explanation:

If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.

To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.

If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:

Area = (5/4) * apothem * side length

To know more about area:

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Answer:

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:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

557.8 square inches

each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.

the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.

pi× 10^2= 314.16.

duvide that by 2 to get a semicircle- 157.8

so, the total area is the 400+ 157.8, for a total area of 557.8 square inches

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

Answer:

7

Step-by-step explanation:

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

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:

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

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

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

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

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Answer:

B

Step-by-step explanation:

i got it right

Answer:

The best estimate for the length of gribbles is of 3.1 mm.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

The 95% confidence interval is between 2.9 mm and 3.3 mm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

Best estimate for the length of gribbles

The best estimate is the sample mean, that is 3.1 mm.

Margin of error:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

Confidence interval:

The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm

The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm

The 95% confidence interval is between 2.9 mm and 3.3 mm.

Answer:

17.25

Step-by-step explanation:

8556 / 32 / 15.5 = 17.25

Answer:

The circumference is 9. And the other one is 10

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 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

Answer:

Step-by-step explanation:

B.28.1

Answer:

It's BBBBBBBBBBBBBBBBB

Answer:

i dont know im just doing this for the points