find the missing side lengths

Find The Missing Side Lengths

Answers

Answer 1

Answer:

Step-by-step explanation:

first use tan Ф = opp /adj      to find x         tan(30) = √3 / 3

then use sin Ф = opp / hyp   to find y         sin(30) = 1/2

       tan(30) = (√3) / 3  =  x / 48

                           x = (48√3) / 3

                          x = 16√3

        sin(30) = 1/2  = x / y

                        y  =  x / (1/2)

                        y  =  2x        x = 16√3

                        y  =  2[16√3]

                        y  =  32√3

 

check  using      a² + b²  = c²

             x² + 48² = y²

            (16√3)² + 48² = (32√3)²

           256 · 3  + 2304  =  1024 · 3

           768   +  2304   =   3072

                         3072  =  3072


Related Questions

HELP ASAP!!! I’m very confused and I need help. Thank you!!!!

Answers

Answer:

Triangle 2: 7, 24 and 25.

Step-by-step explanation:

To find the triangle with its dimensions being that of a right angle triangle;

We would have to apply Pythagorean' theorem.

Let the length of sides of the triangle be;

Opposite side = a

Adjacent side = b

Hypotenuse side = c

From Pythagorean theorem;

c² = a² + b²

When a = 7, b = 24 and c = 25

25² = 7² + 24²

625 = 49 + 576

625 = 625

This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.

pls help
round to the nearest tenth, if needed.

Answers

Answer:

[tex]\pi[/tex] or 3.1

Step-by-step explanation:

The total area of the circle is [tex]3^2\pi[/tex]. The central angle of the shaded region is 40 degrees so we have to multiply [tex]3^2\pi[/tex] by [tex]\frac{40}{360}[/tex] or [tex]\frac{1}{9}[/tex]. 3 squared is 9 so 9[tex]\pi[/tex] times [tex]\frac{1}{9}[/tex] is just equal to [tex]\pi[/tex]. [tex]\pi[/tex]=3.14159265... rounded to the nearest tenth is 3.1

Questions and answers attached

Answers

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100

Solve 7+X - 15 = -2 2/3

5 1/3

10 2/3

20 2/3

6 1/3

Answers

Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question

HELP Math will give 25 brainly points

Answers

51 degrees should be the correct answer

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The angles where the expressions are given are a linear pair, so total 180°.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms

  x = 156/13 = 12

Then the acute angle is ...

  3x +15 = 3(12) +15 = 36 +15 = 51

The stairs make an angle of 51° with the basement floor.

_____

Additional comment

Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.

A woman bought a number of items for $72. She realized that if she had bought 12 more items for the same money, she would have paid $8 less per item. How many items did she buy?

Answers

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

People also askStep-by-step explanation:

he point A has coordinates A(2, 4). What are the X-coordinates of A′ for the dilation D1.5(A)?

Answers

Answer:

(3,6)

Step-by-step explanation:

For dilation, you just multiply the coordinates by the scale factor (in this case 1.5) to get the answer! Hope that helps :)

Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?

Answers

can you give more information ?

if the length of segment A'B' is 12 units, what is the scale factor of the dilation?​

Answers

Answer:

if the length of segment A'B' is 12 units, what is the scale factor of the dilation?

Step-by-step explanation:

plz help will give crown

Answers

Answer:

x=8

Step-by-step explanation:

-2(8) would be -16 so -18 is still greater

Answer:

B

Step-by-step explanation:

all the others will have a value of more than -18. Only B makes sense.

Hope this helps! Have a great day

Help help help please help help helpp

Answers

Answer:

(4⋅2x)+(-2+4)=

8x+2

2⋅3(1a+1a)=

6a+6b

I hope these are okay, and what you were asking for. I hope this helped! +*♡

Find the perimeter of this semi-circle with diameter, d = 52cm.

Answers

Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

Estimate 58.311+49.35 by first rounding each number to the nearest whole number.

Answers

Answer:

≈107

Step-by-step explanation:

58.311 will round down since 0.311 is less than half or 0.5. It will become 58. 49.35 will also round down since 0.35 is less than 0.5. This will be 49. 58+49=107. Since 107 is not the exact answer, you will use the approximately sign, or ≈.

Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run

Answers

Answer:

119

Step-by-step explanation:

19+100=119

Depends on the amount of marks but if there are 200 then the answer would be 119

Write out the first five terms of the sequence.

an = n - 5

Answers

Answer:

its A

Step-by-step explanation:

took the quiz


Does anyone know?????

Answers

Answer:

I think it's C

Step-by-step explanation:

if it's not C then I'm sorry

HELPPP ITS DUE TODAY!!!


Given the function rule h(x)=6x-1, find the value of h(3)

Answers

Answer:

put x=3 in equation we get

18-1

17 is the answer

What’s the correct answer for this?

Answers

Answer:

6

Step-by-step explanation:

The numerator is the number of apples and the denominator the total number of fruit.

There are 6 apples, then numerator = 6

Answer:

if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...

●6/10

Please help me with the two column proof
Part 2B

Answers

Answer:

Step-by-step explanation:

I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.

You need 2 angles

One comes from vertical angles being equal.

the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.

Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.

In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.

lecture ends.

Sorry.

A cable TV/Internet/phone provider charges new customers $90 for all three services, per month, for the first year
under their 90 NOW promotion. Alice normally pays $59 for her monthly home phone service, $49 for Internet
service, and $69 for cable television
1. What are her percent savings if she switches to the 90 NOW plan? Round to the nearest percent.

Answers

Answer:

49%

Step-by-step explanation:

First find how much Alice is paying for the all three service currently.

Amount paid by Alice at present= 59 +  49 + 69 = $ 177

If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87

Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100

          [tex]= \frac{87}{177}* 100\\\\= 49.15[/tex]

          = 49 %

Answer:

Step-by-step explanation:

Which angle is supplementary to 15?

Answers

9514 1404 393

Answer:

  ∠14

Step-by-step explanation:

Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.

What is the area of this figure? 30yd 5yd 18yd 18yd 13yd 12yd

Answers

Answer:

50544

Step-by-step explanation:

18x18x13x12=50544

Find the area of each figure answer asap

Answers

1722 is the answer for this question your

An angle with measure seven pi over 4 radians is in standard position. In which quadrant does its terminal side lies

Answers

Answer:

Step-by-step explanation:

The predicted population of Andover t years after 2010 can be modeled by the following equation.
g(t) = 900(1.02)
The predicted population of Hornell t years after 2010 can be modeled by the following table.
t 0 5 10 15 20
f(t) 1,000 1,762 3,105 5,473 9,646
Based on these predictions, which city will have a greater average rate of change in population between 2010 and 2020?
O Both cities will have the same average rate of change of population.
O This cannot be determined from the given information.
O Andover
O Hornell

Answers

Answer:

Step-by-step explanation:

Answer: Hornell

Step-by-step explanation:

Explain how you can write a fraction equivalent to 1/4

Answers

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

To find a fraction equivalent to the given fraction, we multiply a same number with the denominator and the numerator of the given fraction.

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.


Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?

Answers

Answer:18

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

you have to subtract the number of people doing both from the number of people doing just the history.

In a snail-racing contest, Noba’s snail crawled 1.677 m in 5 min.
About how far did the snail travel each minute?

Answers

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

USE THEE DISTRIBUTIVE PROPERTY 3(m+6)+7(m-2)

Answers

Answer:

[tex]10m + 4[/tex]

Step-by-step explanation:

Distribute.

3(+6) + 7(−2)

3 + 18 + 7(−2)

Distribute again.

3 + 18 + 7(−2)

3 + 18 + 7−14

Subtract the numbers.

3 + 18 + 7−14

3 + 4 + 7

Combine like terms.

3 + 4 + 7

10 + 4

what is the diameter of a circle with a radius of 4.375"? 2.187" or 2.375" or 8.375" or 8.750"

Answers

DONT CLICK ON THE LINKS! It’s 8.750 BY THE WAY the radius is half the diameter so just add the radius by itself or multiply by 2
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