What is the area of the triangle?

Answer:

[tex]arclength = 13.44 ft[/tex]

Step-by-step explanation:

We are given PS = 28 feet, which is the length of the diameter.

The formula for arc length is  [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.

So, we need to find the radius. We know that the radius is half of the diameter, so:

[tex]\frac{28}{2}=14 ft[/tex]

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:

∠PXT + ∠TXS = 180

125 + ∠TXS = 180

∠TXS = 180 - 125

∠TXS = 55°

Now, we can use the arc length formula:

[tex]arclength=2\pi r\frac{x}{360}[/tex]

[tex]arclength=2\pi (14)\frac{55}{360}[/tex]

[tex]arclength=13.43903524...[/tex]

[tex]arclength = 13.44 ft[/tex]

Check my work to make sure! Hope this helps!

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

Answer:

PC = 4 cm

Step-by-step explanation:

AP = 4 cm

Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.

PC = AP because corresponding parts of congruent triangles are congruent.

Answer:

The answer for the first one is 1/f3

the second one is b-5 i think

third one is 8k^5/m4

last one is -9

hope this helped

Step-by-step explanation:

Step-by-step explanation:

let the no be x and y

x+y=15

y=15-x.......eqn i)

x-y=3..........eqn ii)

putting value of y from eqn i ) to eqn ii)

x-y=3

x-(15-x)=3

x-15+x=3

2x-15=3

2x=18

x=9

no,putting value of x in eqn i)

y=15-x

y=15-9

y= 6

So,the value of x is 9 and y is 6

Answer:

(A) Sphere

Step-by-step explanation:

The sphere has a smaller volume.

Answer: 1/3 of 24 tickets is 8

Step-by-step explanation:

1/3 of 24 is 8.

The way I usually find this is by multiplying different numbers by three and seeing if it equals (in this case) 24.

8 x 3 = 24

Because eight goes into twenty-four three times, eight is one-third of twenty-four.

Hope this helps✨

Answer:

y = [tex]-x^{3} - 2x^{2} + 5x + 6[/tex]

Step-by-step explanation:

The function will be cubic.  The x-intercepts are -4, -1, and 2

The constant factor is -1 because the graph falls on the right.  So,

y = -(x + 4)(x + 1)(x - 2)

y = -[tex]x^{3} -2x^{2} + 5x +6[/tex]

Answer:

we need to see the model

Step-by-step explanation:

model please

Answer:

1100 mm = 1.1 m, and 900 mm = 0.9 m.

So the area is 1.1 x 0.9 = 0.99 m^2

The area of the rectangular board is 0.99 square meters.

Given that a rectangular board is 1100 millimeters long and 900 millimeters wide.

We need to find the area of the board,

To find the area of the rectangular board in square meters, we need to convert the given dimensions from millimeters to meters and then calculate the area.

Given:

Length of the board = 1100 millimeters

Width of the board = 900 millimeters

To convert millimeters to meters, we divide the given values by 1000:

Length in meters = 1100 mm / 1000 = 1.1 meters

Width in meters = 900 mm / 1000 = 0.9 meters

The formula to calculate the area of a rectangle is:

Area = Length × Width

Substituting the values, we get:

Area = 1.1 meters × 0.9 meters

Area = 0.99 square meters

Therefore, the area of the rectangular board is 0.99 square meters.

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Answer:

y = 41

Step-by-step explanation:

y=4x+5 cuando x=9

y=4*9+5

y=36+5

y=41

Answer:

14

Step-by-step explanation:

Given the following equation;

4³ - (2 + 2³) * 5

4*4*4 - (2 + 2*2*2) * 5

64 - (2 + 8) * 5

64 - (10) * 5

64 - 50 = 14

Note: the rule of BODMAS was applied.

Answer: 18.25

Step-by-step explanation: Lets start off with this: 1/4 is the same as 25 (like if you use quarters, you know 4 quarters makes a dollar, and one quarter is 25)

So, since we have 18 and 25, converting it to a decimal is easy. Put the numbers together (18 and 25) Then just add decimal in the middle.

                                                         OR

18 x 4 (which is 72) then add 72 to the numerator (1) which will give you 73 (72 + 1) Finally, divide 73 by 4, (4 is denominator) which will then give you 18.25 :D

The mixed number  [tex]18\frac{1}{4}[/tex]  written as a decimal is 18.25.

To write [tex]18\frac{1}{4}[/tex] as a decimal, we can convert the mixed number into an improper fraction and then divide the numerator by the denominator.

The mixed number to an improper fraction.

[tex]18\frac{1}{4}[/tex] = (18 × 4 + 1)/4

= 73/4

Divide the numerator by the denominator.

73 ÷ 4

= 18.25

Therefore,  [tex]18\frac{1}{4}[/tex]  written as a decimal is 18.25.

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Answer:

1) no solution

2) no solution

Step-by-step explanation:

7(2 + 5v) = 3v +14

14 + 35v = 3v + 14

The 14s cancel each other out.

35v ≠ 3v

no solution

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

The -7s cancel each other out.

36 ≠ 35

no solution

Step-by-step explanation:

[tex](6) + \frac{1}{2} (10 + 8)[/tex]

[tex]6 + \frac{1}{2} (18)[/tex]

[tex]6 + \frac{18}{2} [/tex]

[tex]6 + 9[/tex]

[tex]15[/tex]

Answer:

15

Step-by-step explanation:

Answer:

take a pic.of question

Step-by-step explanation:

gotta see the triangle

Answer:

The planning value for the population standard deviation is $3750.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

95% confidence interval between $39,000 and $54,000.

This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So

[tex]4\sigma = 54000 - 39000[/tex]

[tex]4\sigma = 15000[/tex]

[tex]\sigma = \frac{15000}{4}[/tex]

[tex]\sigma = 3750[/tex]

The planning value for the population standard deviation is $3750.

Answer:

i think this is a awer

Step-by-step explanation:

n example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis. Another example would the line in standard form, 10x - 2y = 8.Nov 9, 2015

Answer:

y=5x +6

Another example would the line in standard form, 10x - 2y = 8.

Answer:

(No rounding done.)

1. 10

2. 14.1421

3. 8

4. 6.9282

Step-by-step explanation:

To find 1, you need to use tangent. Let's say the missing side is x. You need to use tan(45) = x/10 to be able to solve. If you don't know how to do that, you just need to multiply by 10 on both sides, that way the 10 cancels out and all you get is x. Tan(45) multiplied by 10 is 10.

Now, find 2 with sine. The equation is sin(45) = 10/x. First, you need to multiply both sides by x so you get 10 alone. Now, divide both sides by sin(45) to cancel out the left side and get the answer to 2. 10/sin(45) = 14.1421 (I don't know if you need to round).

To find 3, you need to use cosine. The equation would be cos(60) = 4/x. Again, multiply both sides by x to get 4 alone. Next, divide both sides by cos(60). 4/cos(60) is 8.

To find 4, you need to use sine again. The equation is sin(60) = x/8. Multiply both sides by 8, and there's your answer. 6.9282.

Answer:

the price changed by 40%

Answer:

40%

Step-by-step explanation:

30 x 2 = 60

50 x 2 = 100

100-60=40

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.

I would suggest calculator soup they have a trigonometric function calculator

And here is how to solve trigonometric function,

Put the equation in terms of one function of one angle.

Write the equation as one trig function of an angle equals a constant.

Write down the possible value(s) for the angle.

If necessary, solve for the variable.

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]

Squaring both sides we get,

[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]

⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]

⇒ [tex]4\sqrt{2x-3} =6-x[/tex]

Again, squaring both sides we get,

⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]

⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]

⇒ [tex]32x-48=36-12x+x^{2}[/tex]

⇒ [tex]x^{2} -44x+84=0[/tex]

⇒ [tex]x^{2} -42x-2x+84=0[/tex]

⇒ [tex](x-42)(x-2)=0[/tex]

So, x = 2 & 42

Here extraneous root is 42.

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Answer:

So.

The correct is (C, D, E and F)

And (A and B) isn't correct

Step-by-step explanation:

I hope that is useful for you :)

Answer:

3

Step-by-step explanation:

f(3) = 3(3)-4

f(3)= 9-4

f(3) = 5

g(2) = (2)

g(2) = 2

f(3)-g(2) = ?

(5) - (2) = ?

(5) - (2) = 3