Question 3 of 10
Find tan 0

Question 3 Of 10Find Tan 0

Answers

Answer 1

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]


Related Questions

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answers

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?​

Answers

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = [tex]\sqrt{5680} = 75..36 cm[/tex]

1/4, 3/4, 5/4, 7/4, ... 15th term

Answers

Answer:

29/4

Step-by-step explanation:

2/4 is added per step

14 steps from 1/4

1/4 + 14.(2/4) = 29/4

Answer:

29 / 4 is the 15th term

simplified : 7 1/4

Step-by-step explanation:

3/4 - 1/4 = 2/4

5/4 - 3/4 = 2/4

7/4 - 5/4 = 2/4

. Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

what is the explanation

Answers

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.

What’s the Question? Selena ran farther than
Manny.

Answers

If Selena ran x miles and manny ran y miles, who ran more miles

x=any number

y=any number smaller than x

Please helppppp quick

Answers

Answer:

option C

Step-by-step explanation:

x + 5 ≤ 13

x + 5 - 5 ≤ 13 - 5

x = 8

Answer:

x  ≤  8

Step-by-step explanation:

Move all terms not containing  x to the right side of the inequality. Then solve for x. :)

The length of the diagonal of quadrilateral is 48m. The lengths of the Perpendiculars drawn on it from the opposite corners are 15m and 19m.Find its area.​

Answers

I think all you have to do is add all the digits

√((2+√3)÷(2-√3))

what is the answer?​

Answers

Ok done. Thank to me:>

Ulises lives 2.5 miles from school. Convert the distance to feet.

Answers

Answer:

The answer is 13,200 feet.

Step-by-step explanation:

1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.

5,280 * 2.5 = 13,200.

If you don't have a calculator you can multiply be splitting the parts.

5,280 * 2 = 10,560

+ 2,640 = 13,200

You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5

Hope this helps! :)

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Answer:

13200 feet. Guaranteed

Step-by-step explanation:

Pre college need helpp

Answers

Answer:

check online for more information

What is the quotient 931/4?

Answers

Answer:

here's a photo of the calculator to that question

[-4,6)
Write the interval as an inequality.

Answers

Answer:

4<×<6

Step-by-step explanation:

interval as an inequality

5x – 1 = 7x – 4


operacion y comprobacion prfa

Answers

Answer:

x=3/2 Espero que esto te ayude

Answer:

x=3/2

hope this helps mate

13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)

Answers

Answer:

I believe the answer would be A. $200.00

Step-by-step explanation:

This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.

And the current price is 4,200$ for each car.

If you add 200$ to each 4,200$ car, you get 4,400$

After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.

You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.

52,800-42,000=10,800

therefore, A.$200.00 would be the correct answer

I'm not sure if all calculations are correct, but I hope this helps! :)

The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.

To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.

Given:

Number of cars (n) = 12

Price Jay paid for each car (P) = $3,500

Current worth of each car (W) = $4,200

Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000

Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400

Difference in value = C - T = $50,400 - $42,000 = $8,400

Additional increase needed = $10,800 - $8,400 = $2,400

To find the average increase needed per car, we divide the additional increase by the number of cars:

Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200

Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.

The correct answer is A. $200.00.

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pretty sure this is a joke question about south park my teacher put on my test but i dont watch south park
the question is

TRUE or FALSE
if you ever come across a physican named dr. doctor RUN!

Answers

Answer: true you should run

TRUEEEE DEFINITELY RUN

plot (-7,0) on a graph

Answers

Answer:

To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point

Step-by-step explanation:

[tex] \: \: \: \: [/tex]

To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.

hope it helps

The polygons are similar. Find the value of each variable.

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]

[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]

[tex]\\ \sf{:}\dashrightarrow x=6[/tex]

#y

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]

[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]

[tex]\\ \sf{:}\dashrightarrow y=8[/tex]

Here we go

4/x=6/94/x=2/32/x=1/3x=6

And

y/12=12/1818y=12²18y=144y=8

Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10

Answers

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.

Answers

Answer:

5/253

Step-by-step explanation:

The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.

If △CFE≅△PTR, complete each of the following statements:

CE¯¯¯¯¯¯¯¯ ≅

TR¯¯¯¯¯¯¯ ≅


∠P ≅∠

∠F ≅∠


△FEC ≅△

△RPT ≅△

Answers

Based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

Recall the following about Congruent Triangles:

The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.

Given that △CFE≅△PTR, thus:

CE corresponds to PR, therefore CE ≅ PRFE corresponds to TR, therefore FE ≅ TRCF corresponds to PT, therefore CF ≅ PT∠P corresponds to ∠C, therefore ∠P ≅ ∠C∠T corresponds to ∠F, therefore ∠T ≅ ∠F∠R corresponds to ∠E, therefore ∠R ≅ ∠E

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

Learn more about congruent triangles on:]

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Are 3:5and 1:2 equivalent

Answers

Answer:

No. They are not equivalent.

Step-by-step explanation:

[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]

=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]

Therefore, 3/5 and 1/2 are not equivalent.

Hoped this helped.

Answer:

yes

Step-by-step explanation:

they are equivalent

Scott bought
1
6
ton of rocks. Scott and 9 of his neighbors shared the rocks equally. What fraction of a ton of rocks will each person get?

Answers

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

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Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?

A. $1830

B. $1860

C. $5024

D. $1524

Answers

First of all we have to find 8% of $1500
1500x8/100=120
Then, 120x3=360
After, 360+1500=1860
Answer is B. $1860

litterally nobody answers my questions
my question is the image

Answers

Here you go hope this helps

Jamie is x years old. His friend Ana is the same age.
Enter an expression in the box to represent the sum of Jamie's and Ana's ages.

Answers

Answer:  2x

Explanation:

Each person is x years old. Adding those unknown ages gets us x+x = 2x

We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green? Enter your answer in the box.

Answers

19 times Answer:

Step-by-step explanation:

The required number of panels that were painted to be green is 19.


Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Pattern =  "orange, yellow, pink, green, purple."

                      1               2        3       4            5
Total number of panels = 98
Number of panels that were painted green,
= 98 / 5
= 19 + 3/5
In the 19 pattern, there are 19 panels that is green,
While in the remaining 3 panels consist of orange, yellow, and pink.

Thus, the required number of panels that were painted to be green is 19.

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A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many
yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the
bag stays equivalent to 6:15? Show your work.

Answers

Answer:

I would remove 5 yellow tiles.

Step-by-step explanation:

If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15

HOPE THIS HELPS :)

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

square root of the quantity x minus 3 end quantity plus 5 equals x

Answers

Answer:

x =1 if understood it correctly

Step-by-step explanation:

Suppose that 100,000 men were screened for prostate cancer for the first time. Of these, 4,000 men had a positive result on the screening blood test; of those who tested positive, 800 had a biopsy indicating a diagnosis of prostate cancer. Among the remaining 96,000 men who screened negative, 100 developed prostate cancer within the following year and were assumed to be false negatives to the screen. a) set-up the two-by-two table for this data. (please provide an actual table) b) what is the prevalence of prostate cancer in this population? c) calculate and interpret the sensitivity of this screening test d) calculate and interpret the specificity of this screening test. e) Calculate and interpret the positive predictive value of this screening test.

Answers

An actual two-by-two table is a tabular representation containing two rows and two columns.

The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancerThe rows consist of the predicted positive screening and predicted negative values

a)

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

b)

The prevalence rate of prostate cancer in this population is:

[tex]\mathbf{ =\dfrac{900}{100000}}[/tex]

[tex]\mathbf{ =\dfrac{9}{1000}}[/tex]

= 9 per thousand.

c)

The calculation of the sensitivity of this screening is as follows:

[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]

where;

TP = True positive for cancerPN₁ = Predicted Negative for true positive cancer

[tex]\mathbf{=\dfrac{800}{800+100}}[/tex]

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

d)

The calculation of the specificity  of this screening is as follows:

[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]

where;

TN = True positive for cancerPN₂ = Predicted Negative for true negative cancer

[tex]\mathbf{=\dfrac{95900}{95900+3200}}[/tex]

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

e)

The positive predicted value of the screening test is computed as:

[tex]\mathbf{= \dfrac{TP}{TP + TN}}[/tex]

[tex]\mathbf{= \dfrac{800}{800 + 3200}}[/tex]

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

Learn more about tabular representation here:

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