For each of the following right triangles, set up a trigonometric ratio involving angle A and then find the
measure of Angle Aby using the appropriate inverse trigonometric ratio. Round to the nearest whole degree.

Answer:

A: the function is 537(0.3x)

B: so we just plug in the numbers where x is that amount of years so

52 years from 1970 so 2022

537(1.56)

x=837.72

so the answer is 838

Hope This Helps!!!

Answer:

4-2 = 2

2x5+9 = 19

2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288

Answer:

29

Step-by-step explanation:

Use PEMDAS

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

(4-2)^2×5+9 first you do parenthesis which is (4-2)=2

(2)^2×5+9 next the exponents (2)^2=4

4×5+9 now the multiplication, 4×5=20

20+9 And now finish it off with the addition

So the answer ends up being 29.

Answer:

16.

Step-by-step explanation:

The highest common factor between the two is 16.

Answer:

GCF(14608,720) = 2⁴

Step-by-step explanation:

Factor both numbers:

14608 = 2⁴ * 11 * 83

720 = 2⁴ * 3² * 5

Therefore the greatest common factor is 2⁴

Answer:

280

Step-by-step explanation:

p stands for cans of pop. if each can of pop is 35, then you need to multiply 8 by 35

Answer:

30 years

Step-by-step explanation:

Given data

P=$17,000

A= $41,000

R=2.95%

the expressio for the time is

t= ln(A/P)/r

t= ln(41,000 /17000)/0.0295

t= ln(2.41176)/0.0295

t= 0.8803/0.0295

t= 29.8

about 30 years

Answer:

60 cubic inches

Step-by-step explanation:

if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.

Answer: Lemniscate

Step-by-step explanation:

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

https://brainly.com/question/12478682

Answer:

Adam smith

he is known as father of economics.

hope it helps

Answer:

Adam Smith

Step-by-step explanation:

Answer:

30° and 150°

Step-by-step explanation:

We want to find the angles in the range:

0° < θ < 360°

Such that:

4*cos^2(θ) - 2 = 1

The first part is to isolate the variable θ in one side of the equation, let's do that:

4*cos^2(θ) = 1 + 2 = 3

cos^2(θ) = 3/4

cos(θ) = ± √(3/4) = ± (√3)/2

Then we have two possible values of θ, one for:

cos(θ) =  (√3)/2

And another for

cos(θ) = - (√3)/2

For both cases, we can use the inverse cosine function, Acos(x)

that has the property Acos( cos(x) ) = x

Then:

cos(θ) =  (√3)/2

Acos( cos(θ) ) = Acos(  (√3)/2)

θ = Acos(  (√3)/2) = 30°

And for the other case we have:

θ = Acos( - (√3)/2) = 150°

Then the two values of theta are: 30° and 150°

(We can see that both of these values are in the range 0° < θ < 360°)

9514 1404 393

Answer:

  $60

Step-by-step explanation:

The total she started with is the sum of the amount she spent and the amount remaining:

  $25.80 +$9.25 +$18.85 +$6.10 = $60.00

Ashley brought $60.00 to the mall.

Answer:

The Total money she bring to mall is $ 60.

Step-by-step explanation:

Given that :-

After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent $ 25.80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt.

To find :-

How much money did Ashley bring to the mall ?

Solution :-

Total money she bring to the mall = sum of amount she spend and amount remaining.

Total money = $ 25.80 + $ 59.25 + $ 18.85 + $6.10

Hence, The total money she bring to mall is $ 60.00.

Answer:

Step-by-step explanation:

A genuine number x will be called a arrangement in case it fulfills the condition meaning It is simple to see that the roots are precisely the x-intercepts of the quadratic work, that's the crossing point between the chart of the quadratic work with the x-axis

Answer:

B)Goal Function

Answer:

Step-by-step explanation:

Using the solution diagram below ;

Let height of monument = h

Using trigonometric relation :

Tan θ = Opposite / Adjacent

Tan 47 = h / 32

h = tan 47 * 32

h = 34.315 feets

h = 34.3 feets

[tex]\sf\purple{2.667}[/tex] ✅

Step-by-step explanation:

[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

The measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

From the question, we are to determine the measure of angle O

From one of the circle theorems, we have that

The angle at the center is twice the angle at the circumference

∴ m∠O = 2 × m∠R

From the diagram, m∠R = 24°

Then,

m∠O = 2×24°

m∠O = 48°

Hence, the measure of angle O (m∠O) is 48°. The correct option is the first option- 48°

Learn more on Circle Geometry here: https://brainly.com/question/21872415

#SPJ2

Answer:

9 and 16

Step-by-step explanation:

let the two numbers are X and Y

X+Y=24

X^2-Y^2=144

solve simultaneously

Answer:

-3(6/8+9/8)+4 2/5

Step-by-step explanation:

You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

[tex]y = 6(7x + 9)(8x - 3)[/tex]

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

[tex]7x + 9 = 0[/tex]

[tex]7x = -9[/tex]

[tex]x = -\frac{9}{7}[/tex]

So (-9/7, 0) is a zero of the quadratic function.

The other is:

[tex]8x - 3 = 0[/tex]

[tex]8x = 3[/tex]

[tex]x = \frac{3}{8}[/tex]

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

Answer:

An inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal is:

10x> 150

Step-by-step explanation:

hope this helps <3

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

[tex]\therefore 15t=5+10t\\\Rightarrow15t-10t=5\\\Rightarrow 5t=5\\\Rightarrow t=1\ s[/tex]

After 1 s, Jamie and erika meet at the same point.

Answer: 1 s

Step-by-step explanation:

Given

Jamie speed is 15 m/s

Erika speed is 10 m/s

Erika has a 5 m head start

For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t

After 1 s, Jamie and erika meet at the same point.

Answer:

(x-1)(x+30)

..............

Answer:

Kindly check explanation

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal

P = 2500 ; r = 4% = 0.04 ; t = 5 years

Daily compounding, n = 365

Yearly compounding, n = 1

Quarterly compounding, n = 4

Daily compounding :

A = 2500(1 + 0.04/365)^(5*365)

A = 2500(1.0001095)^1825

A = $3053.4734

Yearly :

A = 2500(1 + 0.04/1)^(5*1)

A = 2500(1.04)^5

A = $3041.6323

Quarterly:

A = 2500(1 + 0.04/4)^(5*4)

A = 2500(1.01)^20

A = $3050.4751

Answer:

hope it helps mark as brainliest

Answer:

Step-by-step explanation:

If we are looking for a line parallel to the given line, we need to find the slope of the given line, since parallel lines have the exact same slope. That means that we need to solve this equation for y, which naturally puts the line into slope-intercept form. Solving for y:

-2y = -4x - 8 and

2y = 4x + 8 so

y = 2x + 4 and the slope, we see here, is 2. Use that slope and the given point of (-1, 4) to write the new equation we need.

In point-slope form, the line will be

y - 4 = 2(x - (-1)) which simplifies a bit to

y - 4 = 2(x + 1). That's point-slope form. Putting it into slope-intercept just requires that we solve this equation for y:

y - 4 = 2x + 2 and

y = 2x + 6. That's slope-intercept form of the same line. The last form is standard, which looks like this:

-2x + y = 6 or, if you don't like to lead with a negative,

2x - y = -6

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi