Find the measures of a right triangle where one of the acute angles is 3.5 times the other

Answer:

C

Step-by-step explanation:

199+(14*72) = 1207

annual fee plus cost for each hour used

Answer:

  9.80 m

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.

__

The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...

  Tan = Opposite/Adjacent

Using the given values, we have ...

  tan(24°) = AC/AB = (tree height)/(distance from tree)

  tan(24°) = AC/(22 m)

Multiplying by 22 m gives ...

  tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m

The height of the tree is about 9.80 meters.

The decreasing of the prices and increasing of buying are correlated with the human behavior.

Demand graph is the curve in the study of economics which tells us about the number of units purchased or the demand of the product with respect to the price.

The demand line slopes downward means the price is decreasing and more people are buying it.

The increase in the buying of the goods on decreasing prices is affected by human behavior as when the price decrease , the middle class people have a tendency to buy more quantity and

even there is need to satisfy unsatisfied wants , If a product was costlier before and the prices have decrease then to satisfy the wants , the people buy it ,

Hence decreasing of the prices and increasing of buying are correlated with the human behavior.

To know more about Demand Graph

https://brainly.com/question/21537661

#SPJ1

Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

A linear function is modeled by:

y = mx + b

In which:

Each of the stocks can be modeled by these following functions:

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

55

Step-by-step explanation:

45 * 4.50 = 202.5

550 - 202.5 = 347.5

347.5/6.25 = 55.6 (55 full t shirts)

The equation that represent the graph is  y = (1/2)eˣ , Option B is the correct answer.

An exponential function is what is denoted as y = eˣ

The graph has to be studied and the equation has to be determined.

To determine we will consider x = 0 for all the equation ,. which will give the y intercept , which is below 1 so Option C and D are stroked out.

Now we plot the graph for equation A and B

It can be easily understood from the graph that at x =0 , y = 0.5

Therefore , the equation that represent the graph is

y = (1/2)eˣ

Option B is the correct answer.

To know more about Exponential Function

https://brainly.com/question/11487261

#SPJ1

The answer is the green K in quadrant IV

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates.

Given here: The K in the fourth quadrant is a reflection of K in the first quadrant because it first flips the K and but there is no change in the position of the x-axis quite clearly.

Hence, The answer is the green K in quadrant IV

Learn more about the Cartesian co-ordinate system:

https://brainly.com/question/29762404

#SPJ1

Answer:

can you please send the images of figure of these angle

The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a  length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r  = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Answer:

look above

Step-by-step explanation:

hopeit hepls

Answer:

The correct answer is x^2 + x + 1.

Step-by-step explanation:

A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.

x^2 - x - 2 = (x - 2)*(x + 1)

x^2 - 12x + 11 = (x - 11)*(x - 1)

x^2 + 2x - 8 = (x + 4)*(x - 2)

Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.

Hope this helps!

Answer:

Step-by-step explanation:

1/2b + 2 ≤ 8

b ≤ 12

Answer:

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

the given angle of 102° is the arc angle between the 2 segment end points on the circle arc.

and this arc angle is always a seen from the center of the circle.

by moving the reference point back (to the other side of the circle) to the circle arc that angle is cut in half.

you could move that point to anywhere on the arc of the circle outside of the 2 endpoints, and the angle stays always the same.

FYI - now, if you move that point into the top half-circle between the 2 end points, the perspective flips around, and that angle becomes half of the 360-102 = 258° arc angle.

The equation that matches the graph of the greatest integer function is y = [x] - 2

The parent function of an step function is represented as:

y = [x]

From the given graph, we can see that the lines are shifted 2 units down.

This means that:

(x,y) = (x,y - 2)

So, we have:

y = [x] - 2

Hence, the equation that matches the graph of the greatest integer function is y = [x] - 2

Read more about step function at:

https://brainly.com/question/4074174

#SPJ1

Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.

The perimeter of a triangle = sum of its 3 sides.

Given the following:

Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:

AD = √(15² - 9²)

AD = 12 units

Use the trigonometric ratios to find DC and AC:

sin 30 = AD/AC

sin 30 = 12/AC

AC = 12/sin 30

AC = 24 units

tan 30 = AD/DC

tan 30 = 12/DC

DC = 12/tan 30

DC ≈ 20.8 units

BC = BD + DC = 9 + 20.8

BC = 29.8 units.

Perimeter of triangle ABC = BC + AB + AC

Perimeter of triangle ABC = 29.8 + 15 + 24

Perimeter of triangle ABC = 68.8 units.

Learn more about the perimeter of a triangle on:

https://brainly.com/question/24382052

#SPJ1

The amount of time that Nora practices flips is; t = 1 ¹/₄

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

Read more about Algebra Problems at; https://brainly.com/question/723406

#SPJ4

Answer:

y=-1/2x+15/4

Step-by-step explanation:

transfer the equation into slope intercept form. subtract 4x from each side getting 8y=-4x+30 then divide by 8.

The solution  [tex]P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)[/tex]  is mathematically given as

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

[tex]P(X=3) = P(X \leq 3)-P(X\leq 2)[/tex]

Therefore

[tex]P(X=3)= 0.65-0.48[/tex]

P(X=3)= 0.17

c)

[tex]P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'[/tex]

[tex]P(2 < =X\leq 4)=0.53[/tex]

a)

[tex]P(2\leq X\leq 4)=0.84[/tex]

Read more about cumulative probability distribution.

https://brainly.com/question/19884447

#SPJ1

Answer:

1/4 for blue and 3/8 for green

Step-by-step explanation:

2 blue sections out of 8

2/8 simplified is 1/4

3 green sections out of 8

3/8 is the simplest form

Answer:

3 1/2 or 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5__ cups.

Hope This Helped

Answer:

3½ cups

Step-by-step explanation:

Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x,y) -> (x + 5, y - 2).

Hence, the image of point B, given by B', is:

(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

A.  -5x = -23

Step-by-step explanation:

First you have to simplify the equation - 4(x - 5) + 8x = 9x - 3

-4x + 20 + 8x = 9x -3

9x - 4x = 20 + 3

5x = 23

=> equivalent to answer A.

The equivalent expression is,

⇒ - 5x = - 23

We have to given that,

An expression is,

- 4 (x - 5) + 8x = 9x - 3

Now, We can simplify the expression for equivalent expression,

- 4 (x - 5) + 8x = 9x - 3

Apply distributive property, we get;

- 4x + 20 + 8x = 9x - 3

4x + 20 = 9x - 3

4x - 9x = - 20 - 3

- 5x = - 23

Therefore, The equivalent expression is,

⇒ - 5x = - 23

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

From factoring, the given equation can be rearranged as  [tex]x=\frac{3n}{p}[/tex].

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  using the variables n and p in different sides. After that, you should  factor out a common term.

[tex]12n + 3px = 7px\\ \\ 12n=7px-3px\\ \\ 12n=4px\\ \\ x=\frac{12n}{4p} =\frac{4*3n}{4p}=\frac{3n}{p}\\ \\ x=\frac{3n}{p}[/tex]

Read more about the factoring here:

brainly.com/question/11579257

#SPJ1

Answer:

32

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer:

$44.69

Step-by-step explanation:

150 x 1.3687 = $205.305 = $205.31

250 - 205.31 = $44.69

(Hope this helps ^-^)

Answer

44.70 US dollars

Step-by-step explanation: Edg right? If thats what youre reffering too then this is correct

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

Answer:

12.566 inches

Step-by-step explanation:

2πr/4

2π x8 divided by 4

Answer:

B

10

Step-by-step explanation:

go up 7 then over 3, add them together and you got 10

Answer:

3844.98

Step-by-step explanation:

Use this formula: P(1+b)^x

500(1.12)^18 (put in calculator).

Hope this helps!

If not I am sorry.