The figure shows secant GC and tangent GB intersecting to form an angle. Find x and y. If necessary, round to the
tenths place.
A X= 52.5
V = 30
B. = 54
= 60
C. X = 52.5
y = 93
D. 7 - 106.5
y = 60

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

Answer:

Percent of change each year = 5%

Step-by-step explanation:

P.S - The exact question is -

Given - The number of carbon atoms in a fossil is given by the function,

             y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since

             being discovered.

To find - What is the percent of change each year? Explain how you arrived

              at your answer

Proof -

Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]

Initially, the number of fossils be

y(0) = [tex]5100(0.95)^{0}[/tex] = 5100

After 1 year, The number of fossils be

y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845

Now,

Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255

Now,

Percent of chance  = [tex]\frac{255}{5100}[/tex] × 100%

                                = 0.05 × 100%

                                = 5%

⇒Percent of chance = 5%

∴ we get

Percent of change each year = 5%

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

mXY

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

Answer:

7 melons

Step-by-step explanation:

So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

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Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias

Answer:

0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s

The time taken by the skydiver to reach the ground is 14.1 second.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.

Here, n=0

-16t² + 3200=0

-16t²=-3200

t²=200

t=√200

t=14.14

t=14.1 second

Therefore, the time taken by the skydiver to reach the ground is 14.1 second.

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Answer:

Step by step

Step-by-step explanation:

Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.

That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)

Distance between the given points give the diameter and half of that is the radius length.

So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)

Thus equation required is: (x-a)^2 + (y-b)^2 = r^2

So, (x+1)^2 + (y-3)^2 = 5

The equation of the circle is (x + 1)² + (y - 3)² = 5

The endpoints of the diameter are given as:

(1, 4) and (−3, 2)

Start by calculating the midpoint using:

Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

Midpoint = 0.5 * (1 - 3, 4 + 2)

Evaluate

Midpoint = (-1, 3)

So, the center (a,b) of the circle is:

(a,b) = (-1,3)

Calculate the length of the diameter using:

D² =(x₁ - x₂)² + (y₁ - y₂)²

This gives

D² = (1 + 3)² + (4 - 2)²

D² = 20

Take the square roots

D = 2√5

Divide by 2 to calculate the radius

r = √5

Square both sides

r² = 5

The equation of the circle is then represented as:

(x - a)² + (y - b)² = r²

This gives

(x + 1)² + (y - 3)² = 5

Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5

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Answer:

Here, it's ratio

Step-by-step explanation:

4/9: 2 and 2/9

simplify

1:5

6/7:x

6/7 x 5 is....

30/7

Mixed number is 4 2/7

BLAM!!!

Answer:

Try C it probably is your answer

Answer:

24-18=6+6+12

hope this helps you!!

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.

Answer:

y=15

Step-by-step explanation:

Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15

The value of x is 26.4 unit and y is 15 units,

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.

So, 22/ 10 = 33/ y

22y = 330

y = 330/22

y = 15

and, 22/10 = x/ 12

264 = 10 x

x= 26.4

Hence, the value of x is 26.4 unit and y is 15 units,

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Answer:

5b

Step-by-step explanation:

Answer:

what sign is between 4b and 5b

Step-by-step explanation:

How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.

#3

Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.

cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]

#4

Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.

csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]

The pythagorean identities are

sin^2 + cos^2 = 1,

1 + cot^2 = csc^2,

tan^2 + 1 = sec^2.

#5

Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.

sin^2 + (-3/4)^2 = 1

sin^2 + 9/16 = 1

sin^2 = 7/16

sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]

Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.

tan^2 + 1 = (-4/3)^2

tan^2 + 1 = 16/9

tan^2 = 7/9

tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]

#6

Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.

1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]

1 + cot^2 = 6/4

cot^2 = 2/4

cot = [tex]\frac{\sqrt{2}}{2}[/tex]

tan = [tex]\sqrt{2}[/tex]

Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.

[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2

4/2 + 1 = sec^2

2 + 1 = sec^2

sec^2 = 3

sec = -[tex]\sqrt{3}[/tex]

cos = [tex]\frac{-\sqrt{3}}{3}[/tex]

Hope this helps!! :)

Answer:

sin(θ)=√7/4

tan(θ)= - √7/3

Step-by-step explanation:

c^2= √(4^2-(-3^2))

c^2= √(16-9)

c^2= √7

sin(θ)= opp/hyp=√7/4

tan(θ)= (opp )/adj= - √7/3

Answer:The answer is (4 x -1)

Step-by-step explanation: How to solve this is tell the teacher I don’t know

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

Answer:

I dont know what sin is

Step-by-step explanation:

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Answer:

[tex]\frac{2x+y}{w}[/tex]

Answer:

Not enough information.

Step-by-step explanation:

AB + BC + CD + DA = 46

In a parallelogram, opposite sides are congruent.

AB + DA + AB + DA = 46

2AB + 2DA = 46

We have two unknowns and only one equation.

There is not enough information to answer the question.

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

18t-72

Step-by-step explanation:

Answer:

1152

Step-by-step explanation: