Find Tan A if Cos2A = 1/2

Answers

Answer 1

Answer:

tan A = ± 1/√3 or ± 0.58

Step-by-step explanation:

2 ways to solve this question.

1. cos 2A = 1/2       2A = 60° or 300° or 420° or ....

   A = 30° or 150° or 210° ....

  tan A = tan 30° or tan 150° or ... = ± 1/√3

2. cos 2A = 2 cos²A - 1        1/2 = 2 cos²A - 1     cos²A = 3/4

   cos 2A = 1 - 2 sin²A         1/2 = 1 - 2 sin²A       sin²A = 1/4

   tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3

   tan A = ± 1/√3 or ± 0.58


Related Questions

an earhtquake magnitude 2.0 or less

Answers

Richter  magnitude Earthquake effect

< 2.0 Micro Micro earthquakes, not felt.

2.0-2.9 Minor Generally not felt, but recorded.

I need help plz answer!!!

Answers

Answer:

No.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you graph the equations, then you see that (3,8) is not the solution.

Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.

Answers

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is   24 : 6 = 4 : 1     or   24/6 = 4

            32 : 8 = 4 : 1     or   32/8 = 4

            28 : 7 = 4 : 1     or   28/7 = 4

             8 : 2 = 4 : 1      or   8/2 = 4

            16 : 4 = 4 : 1     or   16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

WILL GIVE BRAINLIEST TO BEST ANSWER PLEASE HELP

Answers

Answer A


Formula I=p r t

COPPER:
($1500)(0.07)(3)
=315
TRINITY
($1800)(0.06)(3)
=324

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The money keeps on decreasing as the days go. As you can see, the dots on the scatter plot keep on getting lower and lower.

Can I get brainliest plzz?

Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.

Answers

Unfortunately, I don’t knooow :(

Answer: The value of the expression is (12)

Step-by-step explanation:

Got it right

4.2


The solid was created by connecting two congruent square pyramids to a rectangular prism.


18 in


x


15


1


15 in.


What is the surface area of this solid?


square inches

Answers

Answer:

The answer is "[tex]\bold{1920 \ in^2}[/tex]".

Step-by-step explanation:

Please find the graph file.

Rectangular solid area:

Its region comprises four rectangles, each 15 for each case 14 in each.

The rectangle field is the formula [tex]A = lw[/tex]

The four rectangles are therefore covered by a zone: [tex]\to A = 4lw = 4 \times 15 \ in \times 14 \ in = 840 \ in^2.[/tex]

square Pyramids area:

The pyramids in both squares have 8 triangular facets.

Each triangle has a 15-inch basis with a 14-inch base.

The triangle zone formulation is [tex]A = \frac{1}{2}bh[/tex]

That's it. The 8 triangles area is [tex]\to A = 8 \times \frac{1}{2}bh = 4bh = 4 \times 15 \ in \times 18 \ in = 1080 \ in^2[/tex]

Total field surface:

Strong rectangular[tex]= 840 \ in^2[/tex]

Pyramids in the Square[tex]= 1080[/tex]

Overall area [tex]= 1920 \ in^2[/tex]

The number is [tex]1920\ in^2[/tex] for a total area.

What would be different if you started your day with a feeling of being in control?

Answers

it would make me feel like i’m somebody and i have power(for good use)

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond?

Answers

Answer:

The bond yield is 6.80%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond yield?

The bond can now be calculated as follows:

Coupon payment = Coupon rate * Bond per value = 8.5% * $2,000 = $170

Bond yield = Coupon payment / Current value of the bond = $170 / $2,500 = 0.068, or 6.80%

Therefore, the bond yield is 6.80%.

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

1. 3k=150

2. 50

Proof! Please help <3

Answers

Look how they connect the triangles

Solve the following quadratic equation for all values of xx in simplest form.(Solving Quadratics with Square Roots (Level 1)
(x+10)^2-8=8

Answers

I think first you have to expand the bracket in order to get x^2+100
Then u have x^2+100-8=8
Then u have to bring 8 over the equality sign and minus it with the other -8 to get -16
It becomes x^2+100-16
Then u find the factors of 16 which add up to 100 but since that’s not possible with the formula I normally use u have to do
X=-b+&-rootb^2-4ac/2ac then simplify your answer and substitute in equation twice with plus and minus to get your answer
(I might be wrong tho)

Mr. Green used a wood chipper to produce 640 pounds of mulch for his yard. What is the weight, in ounces, for the mulch which he produced? *

Answers

Answer:

Answer: 10240

Step-by-step explanation:

640 x 16 = 10240

1 Pound = 16 Ounces

Jed wants to earn 25% annual net income on his $50,000 cash investment in property his annual expense of owning the property are $9600 what monthly rent must jed charge

Answers

Answer: $1,842

Step-by-step explanation:

John wants to earn 25% of his investment of $50,000 which is:

= 25% * 50,000

= $12,500

He has expenses of $9,600 yearly so the rent he should charge per year in order to make his 25% requirement as income is:

= Expenses + Return

= 9,600 + 12,500

= $22,100

Rent per month is:

= 22,100 / 12

= $1,842

the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length of this rectangle in feet

Answers

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

Pythagorean theroum: a^2+b^2=c^2

Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.

In this case I’m substituting a for 8.

8^2+b^2=13^2

Solve the squares

64+b^2= 169

Isolate the b

b^2=105

Now square root 105

√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.

Pls help me, and do not send links. Thanks

Answers

i uploaded a vid on this here

https://www.you tube.com/watch?v=dQw4w9WgXcQ

Write the equation of the line passing through point (-2 - 2) with a slope of -1
Substitute into y = mx + b and for b

Answers

I think that y=-1x-4 is the answer

Can you help me with my work

Answers

Answer:

all u have to do is count how many 2 there are then put that in and do the same for the 8

Step-by-step explanation:

Answer:

[tex]2^{6} *8^{4}[/tex]

Step-by-step explanation:

One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.

Answers

Answer:

Roots of the f(x) is -7 , 4 and 2.

Step-by-step explanation:

Give that

5x^3-5x^2-170x+280 is (x+7)

One factor of f(x) = x + 7

So,

One root , x = -7

First we determine All factors of the given f(x).

Now divide f(x) by given factor the results are given below:

f(x) = ( x + 7 ) ( 5x² - 30x + 40 )  

    = ( x + 7 ) ( 5x² - 20x - 10x + 40 )  

    = ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )  

    = ( x + 7 ) ( x - 4 ) ( 5x - 10 )

Now

Place x = -7 in the given function,

f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0

So, First root is -7

Now, Place x = 4

f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0

So, Second root is 4

ANd, place x = 10/5 = 2

f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0

So, Third root is 2

Therefore, Roots of the f(x) is -7 , 4 and 2.

b)
(-32)+(+17)+(+32)​

Answers

it’s 17

have a wonderful day

Answer:

17

Step-by-step explanation:

-32 and 32 get cancel

and the answer is 17

solve for x . Leave your answer in the simplest form

Answers

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

[tex]6^2+7^2=c^2[/tex]

[tex]36+49=c^2[/tex]

[tex]c^2=85[/tex]

[tex]c=\sqrt{85}[/tex]

Which is in simplest radical form.

Hope this helps!

Given the sequence {-2,5,12,19...} ,find a34

Answers

Answer:

the answer is in the attachment

The 34th term of the arithmetic value progression is a₃₄ = 229

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sequence be represented as A

Now , the value of A is

A = {-2,5,12,19...}

And , to find the 34th term of the sequence {-2, 5, 12, 19, ...}, we first need to find the common difference between consecutive terms:

The common difference = 5 - (-2) = 7

So, to get the 34th term, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values we have:

a₃₄ = -2 + (34-1)7

a₃₄ = -2 + 231

a₃₄ = 229

Hence , the 34th term of the sequence is 229

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ3

Please help.. The math department is putting together an order for new calculators. The students are asked what model and color they prefer.

Answers

Answer:

The answer is D. Here is proof. PLEEEAAASE mark brainliest.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a) 12, 10, 7,3,
Rule:
b) 1,3,9, 27,
Rule:
I
c) 4, 19, 34, 49
Rule:

Answers

A the rule would be -1 times X
B the rule would be x3
C the rule would be +15

HELP THIS IS DUE TODAY!!

Find the distance from the point P(4,1) to the line segment joining the points Q(1,-8) and R(-4,2). Show your steps.

Answers

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

Solve the question in the picture below.

Answers

The answer is b. Have a good day ;)
B. They Y intercept is where the line crosses the y axis (4) and the slope is rise/run (so down 2 over 1, which is -2/1 = -2)

im not good at percentages

Answers

Answer:

D. 16

Step-by-step explanation:

You first need to find the total percentage who liked vanilla, then subtract it from the total percentage of chocolate.

To find the total of those who liked vanilla you would have to add the given percentages and then subtract that from 100.

Chocolate: 42%

Strawberry: 18%

Coffee: 14%

Vanilla: x

42 + 18 = 60 + 14 = 74%

100 - 74 = x

Vanilla = x = 26%

To find how many more like chocolate than vanilla, you would subtract the two percentages.

Chocolate: 42%

Vanilla: 26%

42 - 26 = 16

What is the answer to 10.50 X 8.5 pls help :\

Answers

Answer:

89.25

Step-by-step explanation:

If you do 10.50

              x 8.5 you get 89.25.

Answer:

89.25

Step-by-step explanation:

10.5 x 8.5 on a calculator.

question 8 thank youuu

Answers

Step-by-step explanation:

hope this help have a great day

A.2n+ 4= D
D is Dai by the way

B.
D-8 = n+8
(2n + 4)- 8 = n + 8
2n - 4 = n + 8
2n - n = 8 + 4
n = 12

Store A sells a watch for $50 and offers a 5% discount. Store B sells the same watch for $60 and offers a 20% discount. The sales tax is 6% for both . After discounts and taxes are applied, from which store should you buy the watch and why?

Answers

Store A
50*5%=2.5
50-2.5=47.5
47.5+(6%*47.5)=$50.35
Store B
20%*60=12
60-12=48
48+(6%*48)=$50.88
I would but the watch from store A because it would be 53 cents cheaper.

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