What are the exact values of a and b?

What Are The Exact Values Of A And B?

Answers

Answer 1

By using trigonometric relations, we will see that:

a = 7/2, b = (7*√3)/2

So the correct option is the second option, counting from the top.

What are the exact values of a and b?

Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).

Then we will use the two relations:

cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)

With that relation we can find the value of b:

cos(30°) = b/7

cos(30°)*7 = b = (7*√3)/2

The other relation we will use is:

sin(θ) = (opposite angle to the given angle)/(hypotenuse)

With that we can get the value of a:

sin(30°) = a/7

sin(30°)*7 = a = 7/2

Then the correct option is:

a = 7/2, b = (7*√3)/2

Which is the second option, counting from the top.

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Related Questions

Find the degree measure of each angle in the triangle

Answers

Answer:

gooddddd luuuuuuuccccccckkkkk

Answer:

<K = 55     <L = 55     <M = 70

Step-by-step explanation:

As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.

L and K are both = (4x + 3)

All angles in a triangle add up to 180

(4x + 3) + (4x + 3) + (5x + 5) = 180

4x + 3 + 4x + 3 + 5x + 5 = 180

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

<K = 4x + 3 = 4(13) + 3 = 55

<L = 4x + 3 = 4(13) + 3 = 55

<M = 5x + 5 = 5(13) + 5 = 70

if dr. lintz tried to make inferences about the outcomes of individuals based on her data of state legislatures, what mistake would she be making?

Answers

A unit of analysis is merely the entity under investigation. This is generally individuals but in case of Dr. Lintz, it really is state legislatures. The variables record information about the legislative bodies themselves, rather than the individuals who make up those bodies.

What is state legislatures?

A state legislature is a broad term that refers to the legislative body in any of the 50 states in the United States. The formal name differs from one state to the next.

Some key features regarding the state legislatures are-

Every state (except Nebraska) has a bicameral legislature, which means the legislature is divided into two separate legislative chambers (or "houses"); Nebraska does have a unicameral, or one-chamber legislature. The smaller chamber is called the "Senate" in all bicameral legislatures and is commonly referred to as the "upper house." The smaller chamber generally, but not always, has the exclusive power to approve appointments made by the governor and to attempt articles of impeachment.

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Determine the solutions of the equation:
|1/4x+7|-3=24
x= -136 and x = 136
x= -136 and x = 80
x=-112 and x = 80
x= -80 and x = 80

Answers

Answer:

x = -136 and x = 80

Step-by-step explanation:

|(1/4)x +7| - 3 = 24

|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)

now:

(1/4)x + 7 = 27 (first solution)

(1/4)x = 20

x/4 = 20

x = 20×4

x = 80

(1/4)x + 7 = -27 (second solution)

(1/4)x = -34

x/4 = -34

x = -34×4

x = -136

Solve the equation. First estimate using the perfect square closest to 78 . Then use a calculator. Estimate. n2=78 (the 2 is meaning squared)

Answers

n = 8.8

- - - - - - - - - - - - - - - - - - - - - - - -

Work below!

- - - - - - - - - - - - - - - - - - - - - - - -

My estimate: 8.8 x 8.8 = 77.44

Calculated answer: 8.8 x 8.8 = 77.44

Why are they the same? Because 78 is simply not a perfect square. Therefore 77.44 must be rounded up to 78.

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

~pinetreee

amelia is documenting the height of sunflower plants each week. she has determined the function to be f(x)

Answers

According to the given statement the correct option is: D.

Domain, nonnegative values; range, values greater than 3.

How do we define range?

The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.

According to the given information:

f(x) = 3x + 3

where f(x) is the plant's height and x is the passage of time.

The set of input values is known as the domain and the collection of output values is known as the range.

Because the value of time cannot be negative, the domain has non-negative values.

The lowest possible value of x is 0. Replace x=0 in the provided function.

f(x) = 3x + 3

f(0) = 3(0) + 3

     = 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.

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I understand that the question you are looking for is:

Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly

a. Domain, nonnegative values; range, nonnegative values

b. Domain, nonnegative values; range, values greater than −1

c. Domain, nonnegative values; range, values less than −1

d. Domain, nonnegative values; range, values greater than 3

slove this 97-29+34-45*3

Answers

Answer:

-33

Step-by-step explanation:

two complementary angles are in a ratio of $3:2$. what is the measure, in degrees, of the smaller angle?

Answers

The measure of the smaller angle of the complementary angles is: 36 degrees.

What are Complementary Angles?

If the sum of two angles equals 90 degrees, then they are complementary angles.

Given that the ratio of two complementary angles is 3:2, therefor:

3x + 2x = 90

5x = 90

5x/5 = 90/5

x = 18

The smaller angle = 2x = 2(18) = 36 degrees.

The larger angle = 3x = 3(18) = 54 degrees.

Therefore, the measure of the smaller angle of the complementary angles is: 36 degrees.

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Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.

Answers

The constant of proportionality is 0.5.

How to compute the value?

From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.

The constant of proportionality can be illustrated as k.

Therefore, 12.50 = 25 × k

12.50 = 25k

Divide

k = 12.50/25

k = 0.5

The constant of proportionality is 0.5.

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Are they similar? Yes or no

Answers

Answer:

yesss

Step-by-step explanation:

yes there similar

i think

pls mark brainliest

(b/a)^3 + a^2 for a= -2 and b =4

Answers

Answer: -4

Step-by-step explanation:

a = -2 and b = 4

(b/a)^3 + a^2=

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

(-2)^3 + 4=

-8+4=-4

Find the weighted average of the points in the line

Answers

The weighted average of the points in the line is 7.5

How to find the weighted average of the points in the line?

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

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answer the question in the photo 50 POINTS!!​

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

The manufacturing cost of a cell phone was $146. Sellers first marked up 1
the cost by 20 percent. Sales were poor, so sellers decreased the markup to
15 percent. Calculate the old and new selling prices?.
selling price = original cost + markup
Old Selling Price: $185.80 New Selling Price: $177.90
Old Selling Price: $175.20 New Selling Price: $167.90
Old Selling Price: $235.90 New Selling Price: $189.80

Answers

Answer:

Old 175.20, New 167.90

Step-by-step explanation:

Manufacturing cost: $146

Old Price $146 + 20% markup = $175.20

New Price $146 + 15% markup = $167.90

Give the digits in the ones place and the tenths place.
80.97
ones:
tenths:
10
X
S

Answers

For the given number, the digit at ones place is 0 and at tens place is 8.

What number comes in tenths place?

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.

For the number, 80.97

This number can be written as = 80 + 0.97

The digit at ones place is 0

and digit at tenths place is 8

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conclusions concerning cause-and-effect relationships are only possible when the method is used. a. survey b. experimental c. correlational d. descriptive

Answers

Conclusions concerning cause-and-effect relationships are only possible when the method is used by Experimental.

Cause and effect relationship is the concept that states about happening of a particular event causes another event to take place. Cause is the action that makes occurrence of effect. Cause is the reason because of which a event happens and effect is the result of that.

Conducting an experiment can clarify the concept to make it more understandable as conduction the experiment is the cause and the outcome is the effect caused due to experiment.

Other options are not appropriate as co-relational research measures two factors to understand relation without experimenting. Naturalistic observation is observing the happening of the natural surrounding and survey is recording the happening or event. Thus, the correct option is option(d).

The primary reason descriptive/correlational research cannot determine conclusively that variables have a cause-and-effect relationship is because in conducting research

The researcher can't control occasions or control factors. A correlational report is a quantitative strategy for the look into in which you have at least 2 quantitative factors from a similar gathering of subjects, and you are attempting to decide whether there is a connection between the 2 factors.

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what is the range of values for the measurement 500-+4%

Answers

Answer:

480-520.

Step-by-step explanation:

4% of 500 = 500 * 4 / 100 = 20

What do you notice about the angle measures of complementary angles, supplementary angles, and vertical angles?

Answers

Answer:

1. The sum of the measures of complementary angles is 90°.

2. The sum of the measures of supplementary angles is 180°.

3. The measures of vertical angles are equal.


Evaluate expression if r=3, q=1 , and w=-2 .
r w-6

Answers

The result of evaluating the expression r w-6 is equal to -12.

To evaluate an expression is a term used in maths that generally means to come up with a solution to an equation and if it is not possible then reduce it to a smaller equation by exchanging the variables with the given numerical values.

We can evaluate the given expression as follows:

Since r = 3 and w = -2, we can substitute r and w in the expression, r w-6, with 3 and -2 respectively.

r w - 6 = 3 (-2) - 6

3 (-2) - 6 = -6 -6 = -12.

Hence if we evaluate the expression r w-6, the result will be -12.

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A girl but a T-shirt for $25 then her friend by the same shirt for 30% off how much did the friend pay for the shirt

Answers

Her friend bought the same T - shirt for $ 17.5 after 30 % discount.

We are given that a girl bought a T- shirt for $ 25.

Selling price = $ 25

Now, her friend bought the same T- shirt for 30 % off.

Discount rate = 30 %

Let the discounted price at which her friend bought the t - shirt be x.

So, we get that:

x = $ 25 - 30 % of $ 25

x = $ 25 - 30 / 100 × 25

x = $ 25 - $ 7.5

x = $ 17.5

Therefore, her friend bought the same T - shirt for $ 17.5 after 30 % discount.

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can someone help me please ​

Answers

{-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers.

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

open interval shown by round brackets.close interval shown by square brackets.half-open interval shown by mixture of round and square brackets.

For the given graph we can conclude the interval one by one.

For the first blank {-3 if x ∈ [-2,-5]}

For the second blank {-2 if x ∈ (-2,3]}

For the third blank {3 if x ∈ (3,4]}

Therefore, {-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

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solve the equation 10 = 5x -15​

Answers

Answer: x = 5 or YOUR DAD

Step-by-step explanation:

1. Add 15 to both:
10 + 15 = 5x - 15 +15

2. Divide by 5 on both sides:
25/5 = 5x/5

3. Simplify:
5 = x

4. Symmetric Property of Equality:
x = 5

Answer:

Question

solve the equation 10 = 5x -15​   The answer is X=5

Step-by-step explanation:

10 = 5x -15​

Switch sides

            5x - 15 = 10

Add 15 to both sides

                5x - 15 +15 = 10+ 15

Simplify

                5x = 25

Divide both sides by 5

                   5x/ 5 = 25/ 5

And then Simplify

                     U get x = 5

Hope this helps :)

What is the frequency of the sound? assume vsoundvsoundv_sound =340 m/s=340 m/s .

Answers

According to the given statement the frequency of the sound = 693.87h2b.

What is frequency?

The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One hertz (Hz) equals one (event) per second, which is how frequencies is expressed. Because it reflects the duration of time for one cycle of a recurring occurrence, the period is the opposite of the frequency. For example, the period, T, of a heart beating at such a frequency of 120 times per minute (2 hertz), is equivalent to 0.5 seconds (60 seconds divided by 120 beats).

According to the given information:

let consider Speaker at 2x 1 and the listener at p.

lot wake interfere at pence path difference for interfering phase difference

(2π/λ )Δx₁ = 2πn

When spark move for word, the path difference:

Δx₂ = 0.950

Then phase difference

Δ∅₂ = (2π/1)Δx₂ = 2

Δ∅₂ - Δ∅₁  = (2π/λ)(Δx₂ - Δx₁) = 2π

2π x .49

λ = 0.49

frequency

f λ = Vsound

f = 340/0.49

= 693.87h2b

When separation is Δx₁ = 0.46

Δ∅₁  = 2π/0.49) x 0.46

= 5.993 radian

When separation is w2 = 0.95

it will gives 12.18116 radian.

According to the given statement the frequency of the sound = 693.87h2b.

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HELPPPP MATH 20 pointssss

Answers

Answer:

first one if I'm not wrong

Examine the question.
6x−3=Ax−3−2x
What value must A have for the equation to have infinitely many solutions?

A.) -2
B.) 4
C.) 8
D.) 2

Answers

The answer for your question is 8

a) (+12) ÷ (+4)
c) (-18) ÷ (+9)
e) (+72) ÷ (-8)
g) (-14) ÷ (+1)
i) (-27) + (-3)
b) (-15) ÷ (-3)
d) (+81) ÷ (-9)
f) (-64 : (-8
h) (+54) ÷ (-6)
j (+32) + (+4)

Answers

Answer:

Hope this helps :)

a) (+12) ÷ (+4) = 3

c) (-18) ÷ (+9) = - 2

e) (+72) ÷ (-8) = - 9

g) (-14) ÷ (+1) = - 14

i) (-27) + (-3) = - 30

b) (-15) ÷ (-3) = 5

d) (+81) ÷ (-9) = - 9

f) (-64 : (-8) =

If the sign is +, then the answer is - 72.

If the sign is ÷, then the answer is positive 8.

If the sign is x, then the answer is positive 512.

If the sign is - , then the answer is - 56.

h) (+54) ÷ (-6) = - 9

j (+32) + (+4) = 36

Select the reason why these triangles are
similar. If they are not, select "Not similar."
88°
62°
88°
30° help asap this is my last question

Answers

The triangles are similar by AA.

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

In similar triangles, corresponding sides are always in the same ratio.

Corresponding angles in similar triangles are always congruent.

Therefore, the angles of the first triangle are 88, 30 and 62 and the angles of the second triangle are 62, 88 and 30 degrees.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Therefore, the triangles are similar by AA.

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WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?

Answers

Step-by-step explanation:

21 seconds. pretty sure

Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.

Answers

Answer: a. 18 teaspoons

b. 6 tablespoons

Step-by-step explanation:

a. 1 tsp: 15 sq ft

270 sq ft * 1 tsp/15 sq ft=

270 * 1/15=

270/15=18 teaspoons

b. 3 tsp = 1 tbsp

18 tsp * 1 tbsp/3 tsp=

18 * 1/3=

18/3=6 tablespoons

The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 12 cases
he constant of proportionality is

enter your response here millimeters per DVD case.

Answers

Answer: ---

Step-by-step explanation:

Divide the hight of the stack by 8, multiply that by 12, you should have your answer

Given the rule what is the new coordinate? Show all of your work.
Rule: (x, y) → (x - 7.5, y + 6.8)
Original coordinate: (5, 3)

Answers

Using translation concepts, the new coordinates are given as follows:

(-2.5, 9.8).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the rule is given as follows:

(x, y) → (x - 7.5, y + 6.8)

This means that the figure is shifted:

7.5 units left.6.8 units up.

The original coordinate is given by:

(5,3), meaning that x = 5 and y = 3.

Applying the rule, we have tat:

5 - 7.5 = -2.5.3 + 6.8 = 9.8.

Hence the new coordinates are given as follows:

(-2.5, 9.8).

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Consider a sr-71 operating at its maximum service ceiling. what region of the atmosphere is it flying in? answer the question in the photo 50 POINTS!! a 15 year old is found to have type 1 diabetes. which would the nurse include when teachin the adolescent about type 1 diabetes Given the rule what is the new coordinate? Show all of your work.Rule: (x, y) (x - 7.5, y + 6.8)Original coordinate: (5, 3) Why would people resist a multiproject resource scheduling system? as a manager or an executive, how would you solicit buy-in for such a product? conclusions concerning cause-and-effect relationships are only possible when the method is used. a. survey b. experimental c. correlational d. descriptive (7a+10)/(3b+6)72what is the values of a and b Solve the equation. First estimate using the perfect square closest to 78 . Then use a calculator. Estimate. n2=78 (the 2 is meaning squared) The meaning of the suffix -able is How do the past characters actions determine how they will react to events taking place in the present in the tempest According to data about movie ticket prices, between 2000 and 2014 the average cost of a movie ticket in a given year was:_________ Things that children discuss with social workers must remain confidential. true false which discoveries attracted settlers to the west in the late 1800s? lead and tungsten lead and tungsten copper and gold copper and gold oil and coal oil and coal silver and uranium 3. high tech, inc., is a public company that produces laser and ink jet printers. jorge is an accounting staff member who works for the companys controller and is involved in preparing the annual report. one of high techs competitors developed a superior color laser jet printer using a less costly production process. jorge realizes that high techs substantial inventory of color laser jet printers is effectively obsolete and will have to be written down to its net realizable Why were the 12 Tables important to Rome? please help with this Gary's is a small publishing company that publishes math books.the production costs include a one time cost for editing which is $1050 for the book the company is currently working on. once the book is in production, the only cost will be the variable cost, of printing which is $15 per book. the company will market the book at a price of $35.if you were to plot a graph of the profit generated by the book, what would the slope and y intercept represent? How should policymakers determine the amount of money that should be allocated for research curing heart disease? they should base their decision on. A country has a trade deficit of $20 billion with its trading partners over ayear. Which change would cause the country to have a trade surplus thefollowing year, assuming everything else remains the same?A Thecountry increases itsimports by $30 billion.B. The country decreases its imports by $10 billion.C. The country increases its exports by $30 billion.D. The country decreases its exports by $10 billion. During the first phase of an American revolution most major battles took place near the cities of Boston New York and Philadelphia why would controlling this region have been important goal for both sides of the war