trigonometry please help! work need to be shown

Trigonometry Please Help! Work Need To Be Shown

Answers

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using the above trigonometric ratio for the given triangle, we get

[tex]\cos 46^\circ=\dfrac{x}{8}[/tex]

[tex]0.6947=\dfrac{x}{8}[/tex]

[tex]0.6947\times 8=x[/tex]

[tex]5.5576=x[/tex]

Approximate the value to the nearest hundredth.

[tex]x\approx 5.56[/tex]

Therefore, the value of x is 5.56 units.


Related Questions


In the figure below, mZPSQ = 70° and m_SRQ = 27°.

What is m<PST?

A. 133° B. 40° C. 97° D. 47°​

Answers

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?

Answers

Answer:

j = $15

t = $5

Step-by-step explanation:

This question can be solved using simultaneous equation

let the price of t-shirt be represented with t

let the price of jeans be represented with j

From the question, these two equations can be derived

2j + 6t = 60  eqn 1

4j + 3t = 75  eqn 2

multiply eqn 1 by 2

4j + 12t = 120  eqn 3

Subtract eqn 2 from 3

9t = 45

divide both sides by 5

t = 5

Substitute for t in eqn 1

2j + 6(5) = 60

2j = 30

j = 15

There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS

Answers

Answer:

4/2

Step-by-step explanation:

are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10

Answers

These numbers are linear

Solve the linear equation 1/3x - 5 + 171 = x

Answers

Answer:  x = 249

Step-by-step explanation:

x + y = 16
5x - 4y = 12

Answers

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?​

Answers

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Pind the distance between -5 and 8.

Answers

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

---

hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3

It is estimated that 78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Answers

Answer:

0.2297 ;

78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Step-by-step explanation:

p = 0.78

1 - p = 0.22

P(x = 3)

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 5C3 * 0.78^3 * 0.22^2

P(x = 3) = 10 * 0.78^3 * 0.22^2

P(x = 3) = 0.2297

One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?

Answers

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

a number is the square root of 16 and also the square root of 2. what is the number?​

Answers

Answer:

there is nothing like that

Step-by-step explanation:

there is no squre root of2

What is 300% of 15? Please show your work

Answers

Answer:

300/100*15=45 plz mark me branliest

A school track is shown.
1000 m
74 m
The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What
is the distance, in meters, around the entire track? Use the button on your calculator and express your answer to
the nearest hundredth
The distance is
meters

Answers

Answer:

2232.48 meters

Step-by-step explanation:

From the diagram:

Radius of semicircle = 74

Length of straightway on each side = 1000

The length of school track:

Straightway on each side = 2 * 1000 m = 2000m

Length of semicircle = πr/2

Length of both semicircle  = 2 * 3.142 * 74 /2 = 232.47785

Total Length = ( 2000 + 232.47785) = 2232.48 meters

Hope this helps!

At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour

Answers

Answer: 20 hr

Step-by-step explanation:

Given

The depth of accumulated snow is [tex]d=10\ in.[/tex]

Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]

Time taken for complete melting of snow is

[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]

PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.

Answers

Answer:

25 and 13

Step-by-step explanation:

25 - 13 = 12  

25 + 2 = 27

13 -10 =3

27 is 9 times larger than 3

Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals

Answers

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

help please
Find the hypotenuse of the triangle, the
distance between points (4, 4) and (-2,-2).
[?]
Enter the number that
16 goes beneath the radical
symbol
(

Answers

the hypotenuse and the distance between those two points is 6 sq rt 2

Please help me thank you you if u do have a good day.

Answers

Answer:

C

Step-by-step explanation:

Its straight and a straight line like that means your staying there for a long period of time.

I need help on this homework

Answers

Answer:

5=10(0)+5

Step-by-step explanation:

1.write the equation y2-y1/x2-x1

2.fill in your coordinates

3.substitute and there is your slope (m)

4.write out y=mx+b

5.fill in y (5) and x (0) with the first coordinates and add 10 to m

6.sunsitute till you've solved b

7.there ya go (:

STION 1
Michael Smith buys and sells lovebirds. He currently has 80 yellow birds and
120 green birds. The birds are equally divided into five cages.
1.1.1
How many lovebirds does Michael have in total?
1.1.2
How many birds are in each cage?
1.1.3
Write the ratio of yellow birds to green birds that Michael has.
Give your answer in simplest form.​

Answers

Answer:

1.1.1- Michael has 200 lovebirds in total

1.1.2- There are 40 birds in each cage

1.1.3- 120/80 = 3/2

Step-by-step explanation:

120+80=200

200÷5=40

120÷40=3, 80÷40=2

Step-by-step explanation:

The picture below shows the food that Michael gives to his lovebirds. He gives Each cage every morning

Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%

Answers

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

simplify by pulling out the GCF from the numerator and the dominator? 6/8

Answers

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

3/4 is the answer to this

Sea p(x) = 2x + 4, calcular p(5) + p(2

Answers

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Can someone help me please

Answers

Answer:

the answer is yes.

Step-by-step explanation:

Answer:

It is a which is (-2,2).............

Question 1: To enter their home, the Cepeda family types in a 4 digit
code. How many codes are possible? *
40
10
1,000
10,000

Answers

So the first digit could be 0-9.

second is the same 0-9

And the 3rd 0-9 and lastly the 4th 0-9

There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.

So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.

So their are 10000 possible codes.

Which expression and value represents 100 less than 3 times the sum of 18 and 2?
O 3 (18+ 2) - 100; -44
O 3 % (18 + 2) - 100; -40
O 100 - 3* (18 + 2); 40
O 100 - 3x (18+ 2): 48

Answers

Answer:

3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Geometry!!! Pls help!! Mathxl!! Full points!!

Answers

Answer:

3 both sides

Step-by-step explanation:

Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20​

Answers

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6


3
2

v+
15
4

+
3
1

v

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3

Y is inversely proportional to cube root of x. what x= 1/8y=2 find the constant of proportional​

Answers

Answer:

1/2

Step-by-step explanation:

[tex]y = \sqrt[3]{\frac{1}{8x}}\\\\=\sqrt[3]{\frac{1}{2*2*2*x}}\\\\=\frac{1}{2}\sqrt[3]{\frac{1}{x}}[/tex]

Constant of proportional= 1/2

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