Geometry: Trig Pile Up Activity

Geometry: Trig Pile Up Activity

Answers

Answer 1

The measure of the unknown angle is 53 degrees.

The length of the unknown side of the blue triangle is 4.43 cm

Right angle triangle

Right angle triangle have one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore, the measure of the unknown angle can be calculated as follows:

let

x = unknown angle

x = 180 - 90 - 37 = 53°

Therefore, let's find the unknow length of the blue triangle.

tan 53 = opposite / adjacent

tan 53 = 6.9 / a

a = 6.9 / 1.327

a = 5.1996985682

a = 5.2

The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm

Therefore,

sin 59 = opposite / 7.8

opposite = 7.8 × 0.8571673007

opposite = 6.68590494548

opposite side = 6.69 cm

The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm

Therefore,

sin 71 = x / 4.69

x = 4.69 × 0.94551857559

x = 4.43448211956

x = 4.43 cm

learn more on right triangle here: https://brainly.com/question/7894175


Related Questions

In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.



If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?

Answers

Answer:

Probability is 89.99%

Step-by-step explanation:

divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%

(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!

I give you 10 pts

Answers

Answer:

[tex]\huge\boxed{\bf\:62}[/tex]

Step-by-step explanation:

[tex](9*7) + 7 - 8 = ?[/tex]

We can solve this by using the PEMDAS concept where,

P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = Subtraction

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]

Now, subtract 8 from 70 .

[tex]70 - 8\\= \boxed{\bf\:62}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

I need help quick please

Answers

Answer:

A= 123º

B= 93º

Step-by-step explanation:

A is just a guess.

B is correct though, it is close to 90º but it is greater than 90º

Answer:

Final solution -

[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]

_____________________________

_____________________________

Additional information -

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°

★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°

_____________________________

_____________________________

hope helpful :D

121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17

Answers

Answer:

D.

41.17 because it is possible answer to the question

Help please in picture below

Answers

Answer:

vertex is a point where two sides meet

PLEASE HELP! CALCULUS

Answers

Answer:

[tex] 55 < A < \frac{149}{2} [/tex]

Step-by-step explanation:

Given:

Function g(x) = 2x²-x-1, [2,5],

N = 6 rectangles

To find:

Two approximation (Left endpoint and Right endpoint of the area) of the area.

Solution:

Using Right endpoint approximation,

[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]

Now,

[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]

Where i = 1,2,3,4......

Substituting value of N, ∆x and a in above equation,

[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]

Substituting the corresponding values of x in given function 2x²-x-1

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]

After solving each function,

[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]

Similarly for left endpoint approximation,

[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]

Where i = 0,1,2,3......

Substituting value of N, ∆x and a in above equation,

[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]

[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]

Substituting the corresponding values of x in given function 2x²-x-1

[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]

Right approximation 149/2

Left approximation 55

Hence the Area is bounded in,

[tex] 55 < A < \frac{149}{2} [/tex]

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the median value for this data set is​

Answers

Answer:

275

Step-by-step explanation:

because it is in between 270 and 280


Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)

Answers

Answer:

(5, -43)

Step-by-step explanation:

The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a.  The value of a is the coefficient of the x^2 term.  The value of b is the coefficient of the x term.  In this problem, a = 2 and b = -20.  When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5.  Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.

How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3

Answers

Answer/Step-by-step explanation:

the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.

Identify the percent rate of change in exponential function y=(0.9)

Answers

Answer:

90

Step-by-step explanation:

0.9 multiplied by 100 to turn it into a percentage is 90.

The answerrr isss 90

This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.

What is the difference in volume of the two compartments?

Enter your answer in the box.
cm³
Right trapezoidal prism. The height of the trapezoid base is labeled 7 cm. The larger base is labeled 15 cm and the shorter base is labeled 5 cm. The two legs of the trapezoid are labeled 10 cm. The height of the prism is labeled 8 cm.

cm³


help please

Answers

Answer:

140

explanation:

I took the test

Answer:

210 cm

Step-by-step explanation:

If the trapezoid in the picture is the one mentioned in the problem, then the answer is 210 cm. I did the test.

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

Answers

Answer:

p(3,2)=====P'(-2,3)....

something times 5 = 1?

Answers

the answer is 1/5 because if you do that times 5 than the answer is 1

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You can think of this "something" as a variable, which is x

So:

5x = 1

Divide both side by 5:

x = 1/5

can someone please tell me the answer to this I can’t figure it out!!

Answers

Answer:

the answer is (0, 0) trust me

What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?

Answers

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

Solve the two-step equation.

3
4
(x) − 1.72 = −6.82

1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.


The solution is x =
.

Answers

Answer:

[tex]\boxed{\sf{x=-0.15}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

34(x)-1.72=-6.82

Rewrite the problem down.

⇒ 34x-1.72=-6.82

First, add by 1.72 from both sides.

⇒ 34x-1.72+1.72=-6.82+1.72

Solve.

⇒ -6.82+1.72=-5.1

Rewrite the problem down.

⇒ 34x=-5.1

Divide by 34 from both sides.

⇒34x/34=-5.1/34

Solve.

Divide the numbers from left to right.

⇒ -5.1/34=-0.15

⇒ x=-0.15

Therefore, the solution is x=-0.15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Here is the correct answer is this

Step-by-step explanation:

Find the surface area of each prism. Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).

Substituting in our dimensions:

[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]

Evaluate: SA = 468 yd²

A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.

Answers

We will see that the expected value for X given that the first number is a 6, is:

E[X|A] = 9.5

How to get the expected value?

We know that X represents the sum of both values. The first value is already 6, so we have that fixed:

X = 6 + p

Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:

E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5

Then the expected value of X, given the event A.

E[X|A] = 6 + p = 6 + 3.5 = 9.5

So the expected value for X is 9.5

If you want to learn more about expected values, you can read:

https://brainly.com/question/15858152

Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation? ​

Answers

Answer:

5.5 years

Step-by-step explanation:

100/18 = roughly 5.5 years (5.55555556 to be exact)

Hope this makes sense.

Help help ASAP math math

Answers

Answer:

-1/1

Step-by-step explanation:

=64/-8

over

36-30+2

= -8

over

8

= -1

over

1

Answer:

[tex] \rightarrow - 1[/tex]

Step-by-step explanation:

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]

[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]

[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]

[tex] \rightarrow \: - 1[/tex]

Show that f(x) = 3x
4 − 2x
2 + 5 is an even function.

Answers

Answer:
Step-by-step explanation:
This f(x) is an even function.
Explanation:
An even function is one where f(−x)=f(x) for all x in the domain.
An odd function is one where f(−x)=−f(x) for all x in the domain.
In the case of f(x)=3x4−x2+2 we find:
f(−x)=3(−x)4−(−x)2+2=3x4−x2+2=f(x)
So f(x) is an even function.
Actually, there is a shortcut with polynomial functions:
If all of the terms have even degree then the function is even.
If all of the terms have odd degree then the function is odd.
Otherwise the function is neither odd nor even.
in our example, 3x4 has degree 4, −x2 has degree 2 and 2 has degree 0. So all of the terms are of even degree and the function is even

Help me out please, should be easy

Answers

Answer:

I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D

HELPPPPP PLEASE I DONT UNDERSTANDDDD

Answers

Answer:

Step-by-step explanation:

Solve for the equation equal to y

[tex]3x+4y=12\\4y=-3x+12\\y=\frac{-3}{4}+\frac{12}{4}[/tex]

The slope here is -3/4. The slope of a line perpendicular to the original has a negated and inverted slope. Therefore the slope is 4/3

Find the point P on the line y = 5x that is closest to the point (52,0)

Answers

Answer:

(2,10)

Step-by-step explanation:

Whenever you want to find the point that is closest, it will always be perpendicular to the line

This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)

So

In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.

In this case:

the slope is 5

So:

the negative reciprocal is -1/5

Now we know the slope of the line that will be made by point P to intersect with y=5x

Then, you use the equation:

y=mx+b

and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:

0 = -1/5(52) + b

b = 52/5

Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x

5x = -1/5x + 52/5

x = 2

then to find the y coordinate you plug the x back into the equation:

y = 5(2)

y = 10

So the answer is (2,10)

Balance the following chemical equation. (20 pts)

Answers

Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2

Help picture below problem 13

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]

Thus the missing side length is 12 cm

Hope that helps!

Choose the best answer that represents the property used to rewrite the expression.
log6 20 - log6 x = log6 20/x

Answers

Answer:

㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)

Step-by-step explanation:

Answer:Quotient Property

Step-by-step explanation:The property used to rewrite the expression is the quotient rule of logarithms, which states that log_b(x/y) = log_b(x) - log_b(y).

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer: first one is y=9x+5

second on is 4x-3y=-2

Step-by-step explanation:

*Pls help me*

Yasmine is trying to find an outfit for the first day of school. She has to choose from 3 pairs of skirts: one black, one pink and one orange. She also has five blouses: one with flowers, one with polka-dots, one gray, one white and one with words saying I love New York! How many possible outfits can she choose from? *Hint-create a probability table.

Answers

Answer:

15 outfits

Step-by-step explanation:

Given

3 skirtsone blackone pinkone orange

5 blousesone w/ flowersone w/ polka dotsone grayone whiteone w/ "I love New York!"

Probability : No. of outfits

There are 3 elements in set A (skirts) and 5 elements in set B (blouses)Therefore possible outfits = A x B = 15 outfits

P.S. Sorry I couldn't create the probability table.

Multiply 6−√5 by its conjugate and simplify

Answers

[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]

[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]

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