2 sin(2theta)
_______________
(1 + cos(2theta)) (1 –tan^2theta)

Answer:

[tex]\boxed{x = 45\ degrees}[/tex]

Step-by-step explanation:

x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)

x = 45 degrees

Answer: 45

Step-by-step explanation:

The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.

[tex]180-80-55=45[/tex]

Thus, the missing angle is 45 degrees.

Answer:

266.67 feet^2.

Step-by-step explanation:

The scale is 1:40.

That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.

The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.

The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.

Hope this helps!

Answer:

your answer is A 3 inches

Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)

Answer:

E. 88 inches squared

Step-by-step explanation:

First we will calculate the total area(including the area of the picture):

Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12

Step 2(Finding total area): 12 * 14 = 168

Now we will find the area of the picture and subtract it from the total area to get the area of the frame:

A= 8*10= 80

168 -80 =88 inches squared

Hope this helps!

Answer:

E(88)

Step-by-step explanation:

first find the area of the photograph : 8*10=80 square inches

the length of the whole frame in including the photograph is:

8+2 inches+2 inches=12 inches

the width is 10+2+2=14 inches

the area of the whole frame=12+14=168 inches square

the area of the border=168-80=88 inches square

Subtract base fee from total then divide by price per mile:

115.58 - 15.99 = 99.59

99.59 / 0.79 = 126.063 miles

Round the answer as needed.

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Answer:

3:5 or 3/5

Step-by-step explanation:

We know that there are -->

56 Females

84 Males

We need to find the total amt. of ppl

56 + 84 = 140

Males/140 --> Plug 84 in => 84/140

Since it wants simplified, divide both by 7 as 7 is a factor of both -->

12/20 --> Divide by 4

3/5 => This is the most simplified we can get and -->

thus, our answer is 3:5 or 3/5

Hope this helps!

Answer:

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

Answer:

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

Answer:

7 and 37

Step-by-step explanation:

Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).

Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37

Answer:

Step-by-step explanation:

5 * 45 = 225

225+75=300

300/500=0.6

The tank will be 60% full.

If this helped, make sure to mark it as brainliest :D

Answer:

C.60%

Step-by-step explanation:

45 x 5 = 225  225 + 75 = 300

300 / 500 = 0.6 = 60%

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.

Answer:

6 km

Step-by-step explanation:

Let us assume the following items

the Point at Train depot = T

The Point at Main gate =  M

The Point at Bird sanctuary =  B

The Point at Elephant house = E

The Point at manatee Springs =  S

As we can see that there are two triangles namely TMB and TSE.

Mentioned that

MTB = ∠STE

∠TMB = ∠TSE

∠TBM = ∠TES.

According to the Angle-angle-angle (AAA similarity)

So, the triangles TMB and TSE are the same.

[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]

So, the TM is 2400 yds

Now the Distance between Main gate M and manatee Spring S is

MS = MT + TS

= 2,400 + 4200

= 6600 yds

Now the MS is

= 6600 × 0.0009144 km

= 6.035 km

≅ 6 km

Answer:

Yes, they started with equal expressions.

Step-by-step explanation:

To simplify Vanessa's expression, we must rationalize the denominator.  This means we must make the denominator x.

We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well:

Answer:

He spent $6 on each file

Step-by-step explanation:

Hello,

To solve this question, we need to bring out our variables from the equation.

He spent $40.80 for 3 files and 2 pencil cases

Let x represent the file

Let y represent the pencil case

But the file is $5.40 less than each pencil case

x = y - 5.40.....equation (i)

40.80 = 3x + 2y .......equation (ii)

Substitute equation (i) into equation (ii)

40.80 = 3(y - 5.40) + 2y

40.80 = 3y - 16.20 + 2y

Collect like terms

40.80 + 16.20 = 3y + 2y

57 = 5y

Solve for y

y = 57 / 5

y = 11.4

The pencil case costs $11.4 each.

Put y = 11.4 into equation (i)

x = 11.4 - 5.40

x = 6.0

The file costs $6 each

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

Learn more about system of linear equations:

https://brainly.com/question/14323743

Answer:

The correct option is;

A.) A dilation by a scale factor of two-fifths and then a translation of 3 units up

Step-by-step explanation:

The given information are;

Square S undergoes transformation into square S'

From the figure, the dimension of S' = 2/5 dimension of S

Therefore, the scale factor of the dilation is two-fifths

The center of dilation = The origin

Therefore, given that the top right edge of S is at the center of dilation, the initial location of the dilated figure will be (0, 0), (2, 0), (2, -2), and (0, -2)

Given that the lowermost coordinates of S' are (0, 1) and (2, 1), and the lowermost coordinates of the initial dilation are (0, -2) and (2, -2), we have that the translation to S' from the initial dilation is T (0 - 0, 1 - (-2)) = T(0, 3) which is 3 units up.

Answer:

A

Step-by-step explanation:

Answer:

A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.

Step-by-step explanation:

Answer:

WHEN U GRAPH WITH A CALCULATOR  IT IS MUCH MORE ACCURATE

ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER  ENDS

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

          ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                         PEACE!

Answer:

x(x-3) ( x+4)

Step-by-step explanation:

  2               5

---------- + ------------

x^2 -3x     x^2 + x - 12

Factor the denominator

  2               5

---------- + ------------

x(x -3)     (x-3) (x+4)

The common denominator is

x(x-3) ( x+4)

Answer:

x=2

Step-by-step explanation:

Using the formula, a squared plus b squared equals c squared, we can see that 4 squared=16, so x=2.

To check our work, let's use the formula. 4 squared+2 squared=16+4=20.

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Answer:

96

Step-by-step explanation:

Simply multiply all the numbers together.

4 * 3 = 12

12 * 8 = 96

There are 96 possible combinations.

If this helped, please mark brainliest :D

Answer: 12 poles and 16 helmets

Step-by-step explanation:

3+4 =8

-4= -4

1.7

Step-by-step explanation:

We need to find the value of k so that the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units.

The area of triangle is given by :

[tex]A=\dfrac{1}{2}\times [x_1(y_2-y_3)-x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Here,

x₁ = 1, y₁ = -1, x₂ = -4, y₂ = 2k, x₃ = -k and y₃ = -5

So,

[tex]24=\dfrac{1}{2}\times [1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

We need to solve the above equation,

[tex]48=[1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

On solving the above equation we get the value of k as :

k = 4.7

Answer:

B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.

C gains 100 yards on B every minute, so after 10 minutes C has lapped B.

Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.

Answer:

[tex]-(3x+2)(x+1)[/tex]

Step-by-step explanation:

So we have the polynomial:

[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]

(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)

This is a quadratic. To factor this, we need to find two numbers p and q such that:

[tex]p\cdot q=ac\\p+q=b[/tex]

From there, we can substitute these numbers in for b.

From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.

In other words, ac=6 and b=5.

After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:

[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]

Answer:

The answer is 11.

by using cosine rule we can easily get the answer of this question.

I hope it will help u....