Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Answers

Answer 1

ANSWER

[tex]B=63\degree[/tex]


EXPLANATION

We want to solve the trigonometric equation;


[tex]tan^2(B)=4[/tex], where [tex]0\degree \le B \le 90\degree[/tex].


Taking square root of both sides gives,


[tex]tan(B)=\pm \sqrt{4}[/tex]


[tex]tan(B)=\pm 2[/tex]


Since B is in the first quadrant, we proceed with;


[tex]tan(B)=2[/tex], because the tangent ratio is positive in the first quadrant.


[tex]\Rightarrow B =arctan(2)[/tex]


[tex]\Rightarrow B =63.43\degree[/tex].


Correct to the nearest degree,


[tex]B =63\degree[/tex]





Related Questions

One week, A close factory made 2,000 shirts in each of 6 different colors . How many shirts did the factory make in all

Answers

the answer is 12,000

how i get this is because you do 2000 multiplied by 6

The answer is 12,000 shirts.

How I got my answer, I multiplied 2,000×6=12,000.

I hope this helps!

Most Americans throw away about 1365 pounds of trash each year is it reasonable to estimate that Americans throw away over 10,000 pounds of trash in 5 years explan

Answers

It's not reasonable to estimate that Americans throw away 10,000 lbs of trash away because if you estimate the cost (5x1365) the cost should be around 6,900 or 6,800... (1000x5
300x5... 60x5... 5x5)

How can a problem that has 4 digits could have a sum that could have 5 digits

Answers

1000+9001=10001 is just one example of the many possibilities

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon?

Answers

Answer:

To solve this problem, we need to use the following formula

[tex]d=\sqrt{\frac{3h}{2} }[/tex]

Where [tex]h[/tex] is the eye-level height and [tex]d[/tex] is the horizontal distance to the horizon.

For Pam, we know that [tex]h=256ft[/tex],

[tex]d=\sqrt{\frac{3(256)}{2} }=\sqrt{384} \approx 19.6[/tex]

She can see around 19.6 feet to the horizon.

For Adam, we know that [tex]h=400 ft[/tex]

[tex]d=\sqrt{\frac{3(400)}{2} }=\sqrt{600} \approx 24.5[/tex]

He cansee around 24.5 feet to the horizon.

Now, the difference is

[tex]\Delta d= d_{Adam} -d_{Pam} \\\Delta d= 24.5 - 19.6 = 4.9[/tex]

Therefore, Adam can see 4.9 feet much farther than Pam.

Additionally, the expression that models this situation is [tex]\Delta d= d_{Adam} -d_{Pam}[/tex]

Joseph owes his older brother $15, so he has a balance of -$15 with his brother . Joseph borrows more money from his brother ,bringing his balance to 5 times of the previous amount what is Joseph's new balance with his brother

Answers

Just multiple 5 and 15
He owes his brother $75 so the balance is -$75

Final answer:

Joseph's new balance, after borrowing more money which equals 5 times his initial debt of $15, is -$75.

Explanation:

Joseph initially owes his older brother $15, which can be represented as a balance of -$15. If Joseph's new balance is 5 times the previous amount, we would perform the following calculation:

Previous balance x 5 = New balance

So we would multiply -$15 by 5:

-$15 x 5 = -$75

Therefore, Joseph's new balance with his brother is -$75.

Parabolas A and B both have a focus at (2, 2). Parabola A has a directrix at x = -1 and parabola B has a directrix at x = 5. What is the distance between the vertices of the two parabolas?
A. 1.5
B. 3
C. 4
D. 5
E. 6

Answers

Parabola A: directrix is at x = -1 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (0.5, 2)

Parabola B: directrix is at x = 5 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (3.5, 2)

Distance between Vertex A and Vertex B is the distance between (0.5, 2) and (3.5, 2) = 3

Answer: B

Find the x and y intercepts if the function

Answers

I belive there is none because it lands on the origin for y.

Answer:

x intercepts   (0,0) and (3,0)

y intercept (0,0)

Step-by-step explanation:

To find out x intercepts we look at the points on the graph where it crosses or touches x axis. x axis is the horizontal line. y axis is the vertical line

The graph touches the x axis at x=0  and x=3

Always write the x intercepts as (x,0)

So our x intercepts are (0,0) and (3,0)

To find out y intercepts we look at the points on the graph where it crosses or touches y axis

the graph touches y axis at y=0

So y intercept of the graph is (0,0)

Identify the terms in the expression 55a + 22b

Answers

55a and 22b both are terms in that equation

find the value of x for which l is parrell to m

Answers

if l and m are parallel, then 2x and 5x + 40 sum to 180

[tex]2x + 5x + 40 = 180 \\ 7x = 140 \\ x = 20[/tex]

if 1-f=9/10 what is f

Answers

Hello there!

[tex]1-f=\frac{9}{10}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 1 from both sides of the equation.

[tex]1-f-1=\frac{9}{10}-1[/tex]

Simplify

[tex]-f=-\frac{1}{10}[/tex]

Then you divide by -1 from both sides of the equation.

[tex]\frac{-f}{-1}=-\frac{1}{10}/-1[/tex]

Simplify it should the correct answer.

[tex]f=\frac{1}{10}[/tex]

Answer⇒⇒⇒f=1/10

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Question 4 Unsaved
Henry places x marbles into an empty bucket. Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown.

3x + 8

What does the term 8 represent in this expression?

Question 4 options:

the weight of each marble


the weight of the empty bucket


the number of marbles


the total weight of the bucket and marbles

Answers

Here in the given equation, 3x + 8 the term 8 represents the weight of the empty bucket.

Its given that the number of marbles is x, and the weight of each marble is same which is 3. So, total weight of marbles is 3x.

Now, if 3x + 8 is the weight of the bucket and marbles, then 8 represents the weight of the empty bucket.


What is the answer to 99.55 divided by 1.1 worked out???

Answers

Answer:

90.5

Step-by-step explanation:

 0 9 0. 5 0 0

1 1 9 9 5. 5 0 0

 − 0          

   9 9        

 − 9 9        

     0 5      

   −   0      

       5 5    

     − 5 5    

         0 0  

       −   0  

           0 0

         −   0

             0

Please help asap 25 pts

Answers

[tex]4y-8-2y+5=0\\\\(4y-2y)+(-8+5)+0\\\\2y-3=0\qquad|\text{add 3 to both sides}\\\\2y=3\qquad|\text{divide both sides by 2}\\\\y=\dfrac{3}{2}\\\\\boxed{y=1\dfrac{1}{2}}\to\boxed{c.}[/tex]

4y - 8 - 2y + 5 = 0

2y - 3 = 0

2y = 3

y = 3/2

what is the slope for (3,−1) and (4,7)

Answers

The values of the slope and y-intercept are m=8 and b=−25

m=8

b=−25

To find the slope you would use the slope formula since you have two point coordinates. The slope formula is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where y2 and y1 are the y coordinates of the two points and x2 and x1 are the x coordinates of the two points.

Substitute in 7 and -1 for y2 and y1; substitute in 4 and 3 for x2 and x1. Now your expression should look like:

[tex]\frac{7-(-1)}{4-3}[/tex]

Subtract -1 from 7, which is basically the same as 7 + 1. Then subtract 3 from 4. Once you complete these steps you can rewrite your fraction.

[tex]\frac{7+1}{4-3} =\frac{8}{1} =8[/tex]

The final answer is 8 after substituting the appropriate coordinates into the slope formula. This means that the slope of the line passing through the points (3, -1) and (4, 7) is 8.

The answer is: the slope of the line is 8.

4x + 8 = 2x + 7 + 2x - 20.

PLEASE SHOW WORK!!!

Answers

How to get answer:

[tex]\mathrm{Group\:like\:terms}\\4x+8=2x+2x+7-20\\\mathrm{Add\:similar\:elements:}\:2x+2x=4x\\4x+8=4x+7-20\\\mathrm{Add/Subtract\:the\:numbers:}\:7-20=-13\\4x+8=4x-13\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\4x+8-8=4x-13-8\\\mathrm{Simplify}\\4x=4x-21\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\4x-4x=4x-21-4x\\Simplify\\0=-21\\The\:sides\:are\:not\:equal\\[/tex]

Steps:

4x + 8 = 2x + 7 + 2x - 20

Group like terms:

4x + 8 = 2x + 2x + 7 - 20

Add similar elements: 2x + 2x = 4x

4x + 8 =4x + 7 - 20

Add/Subtract the numbers: 7 - 20 = -13

4x + 8 = 4x - 13

Subtract 8 from both sides

4x + 8 - 8 = 4x - 13 - 8

Simplify:

4x = 4x - 21

Subtract 4x from both sides:

4x - 4x = 4x - 21 - 4x

Simplify

0 = -21

Hope this helps! :) and Happy Halloween! ~Zane


please help!!!!!!!!
WILL GIVE FIRST ANSWER BRAINLIEST

Use the substitution method to solve the system of equations. 3x + 7y = 1 y = x – 7
A. (3, –4)

B. (4, –3)

C. (2, –5)

D. (5, –2)

Answers

A. (3,-4 of equations

Answer:

{x,y} = {12,5}

Step-by-step explanation:


Tiger Algebra Solver logo

The Tiger Algebra Tiger

Algebra Calculator | Latest | Discuss | About | Help | Translation


23,965,445 solved | 1,065 online

3x-7y=1;-x+y=-7

Solution :


{x,y} = {12,5}

 


System of Linear Equations entered :


  [1]    3x - 7y = 1

  [2]    -x + y = -7


Graphic Representation of the Equations :


   -7y + 3x = 1        y - x = -7  


 




Solve by Substitution :


// Solve equation [2] for the variable  y


 [2]    y = x - 7


// Plug this in for variable  y  in equation [1]


  [1]    3x - 7•(x -7) = 1

  [1]    -4x = -48


// Solve equation [1] for the variable  x


  [1]    4x = 48


  [1]    x = 12


// By now we know this much :


   x = 12

   y = x-7


// Use the  x  value to solve for  y


   y = (12)-7 = 5


Solution :


{x,y} = {12,5}

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. What is the probability of drawing a red marble out of the bag without looking?

Answers

[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33\%[/tex]

The probability of drawing a red marble out of the bag without looking is 1/3

Probability is the likelihood or chance that an event will occur

Probability = expected outcome/total outcome

If a bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, the total outcome will be;

Total outcome = 1 + 2 + 3 + 3 = 9 marbles

If  a red marble out of the bag without looking, the expected outcome is 3

Pr(drawing a red marble) = 3/9 = 1/3

Hence the probability of drawing a red marble out of the bag without looking is 1/3

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What is the center of the circle shown below?

A. S

B. SM

C. M

D. 12.7

Answers

Answer: The answer is A. s



The center of the circle shown below will be S.Option A is corect.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

[tex]\rm r = \sqrt{{{(x_2-x_1)^2 + (y_2-y_1)^2}}[/tex]

The equation of a circle with center (h,k) with radius r is;

[tex]\rm (x-h)^2 + (y-k)^2 = r^2[/tex]

The center of the circle is equidistant from all the points on its locus forming circumferrence.

The center of the circle shown below will be S.

Hence, option A is corect.

To learn more about the circle, refer to the link: https://brainly.com/question/11833983

#SPJ2

Geometry help , only answer if your sure please. The question is in the attached

Answers

<7 = 62° ----alternate exterior angle

Answer is C) < 7


Look at the parallelogram ABCD shown below:

A parallelogram ABCD is drawn with BD as the diagonal. Angle ABD labeled angle 1. Angle CDB labeled angle 2. Angle CBD labeled angle 3. Angle ADB labeled angle 4.

The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:


Statement Reasons
1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD Reflexive Property
4 triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by _______________
5 AB = DC,
AD = BC Corresponding parts of congruent triangles are congruent

Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate

Answers

Answer:

Given : A parallelogram ABC D in which BD is the Diagonal.

 ∠ABD =1, ∠ CDB =2, ∠CBD =3, ∠ ADB =4

To prove: Opposite sides of parallelogram are congruent.

Proof : AB is parallel to DC and AD is parallel to BC Definition of parallelogram


2 angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the alternate interior angles are congruent


3 BD = BD Reflexive Property


4 triangles ADB and CBD are congruent [If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by[ ASA]

5 AB = DC,  

AD = BC Corresponding parts of congruent triangles are congruent

Out of four options given

2. ASA postulate is the correct answer

A- angle, S-side,A-angle



Answer:

ASA postulate is the answer


What two-dimensional shape is formed by a cross section of the cone shown from the vertex perpendicular to the base of the cone?

A. Parabola
B. Scalene triangle
C. Ellipse
D. Isosceles triangle

Answers

The correct choice is D!

Hope this helped you out! :)

Please help! 10 points
What number needs to be added to both sides of the equation in order to complete the square?
x^2+16x=18
Enter your answers in the boxes.

x2+16x+(blank)=18+(blank)

Answers

Solution is given in attachment.

So 8^2 is need to add both sides for completing square.

For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 2 y + 4 = 3x

Answers

3x+(3x-4)= 2
when you solve for y you gotta put it in slope intercept form. then you can substitute it in to your equation. hope this helps!

Answer:

x= 1  and y = -1

Step-by-step explanation:

3x + y = 2

y+ 4 = 3x

For the following system, use the second equation to make a substitution for y in the first equation.

LEts start with second equaiton y+4 = 3x

Solve for y, subtract 4 from both sides

y = 3x- 4

Now substitute y = 3x -4 in first equation

3x + y = 2

3x + 3x -4 = 2

combine like terms

6x -4 = 2

Add 4 from both sides

6x = 6 (divide by 6)

x= 1

To solve for y we plug in x=1 in y= 3x-4 equation

y=3(1)-4= -1

so x= 1  and y = -1

A triangle has side lengths of 8 inches,12 inches,and 16 inches. Determine whether this is a right triangle and why.

Answers

8²+12²≠16²
the answer is no

Answer:

the answer is no

Step-by-step explanation:

8²+12²≠16²


What is the volume of a box that holds 24 1/2 inch cubes

Answers

If each sugar cube has a width, height, and length of 1/2 inches, then the volume of one sugar cube=width x length x height=1/2 x 1/2 x 1/2 = 1/8 inches^3. If it can hold 24 cubes, 24 cubes x 1/8 inches^3 per cube = 24/8=3 inches^3

A car travels 65km in 45minutes. What is the average speed of the car in km/h

Answers

65X60/45=260/3km/hr=86.66km/hr

You buy 22pairs of shoes in a sale. You pay the full price of $48$48for the first pair, and you get the second pair for half this price. What fraction of the full price do you pay for 22pairs of shoes?3434cup of honey in one of his cakes. There are 6060calories in 1818cup of honey.drag one expression next to each question. The correct expression for each row is a way to answer that question.

Answers

75%
60/18*34 is the number of calories in all honey

Which three statements would produce the truth value F when p is true and q is false

Answers

p^q , p-> q and ~p ^ q . all these three statements will give false when p is true and q is false

I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month." Read more: I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per ... - I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month."

Answers

Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be 109.65 dollars per month."


If my current rate is $129.00 per month. Your adjusted rate will be $109.65 dollars per month.

Adjusted  rate

Using this formula

Adjusted rate = Current rate - Adjustment

Where:

Current rate=$129

Adjustment=(15%×$129)

Let plug in the formula

Adjusted rate=$129-(15%×$129)

Adjusted rate = $129 - $19.35

Adjusted rate =$109.65 per month

Inconclusion your adjusted rate will be $109.65 dollars per month.

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Divide and simplify. Enter you answer in the provided grid correctly.

9/16 *division symbol* 39/8

Answers

9/16 divided by 39/8

KCF

9/16 x 8/39

Simplify

9/2 x 1/39 = 9/78 or 3/26

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