Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)

Answers

Answer 1

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).


Related Questions

this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2​

Answers

Answer:

have you found the answer I need it to

A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answers

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.


Please help if you can!! I would appreciate it alot!



People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees​

Answers

Answer:

I = $ 1,937.50

Step-by-step explanation:


5.76

228
35



Which list shows the lengths in order from greatest to least?

Answers

Answer:

the correct order of these from greatest to least is. 228, 35, 5.76

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

The other answer on the red box is 7.

Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

9*8 is 72-33 is 39

PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.

A. On which day did Elsa reach farther: the second or third day?

B. By how much?​

Answers

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

Find the slope of the line that passes through:
(-4,7) and (-6, -4)

Answers

Answer:

Ok:

Step-by-step explanation:

The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.

11/2 or 5.5 is your answer bud

Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

fafg and then do the 2a ab 2b

Step-by-step explanation:

What goes in the blank?
A always
B sometimes
C never
D rarely

Answers

Answer:

B

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

1. true

2. true

3. false ( pie chart )

4. true

5. false ( y axis )

6. true

7. true

Hope this helps

plz mark as brainliest!!!!!!

24 boys out of 64 classmates is what percent

Answers

That would be 37.5 percent

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.

Answers

Answer:  Remainder = 3

===================================================

Explanation:

The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.

The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.

So we'll need to evaluate p(-1)

To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.

From point A, draw a horizontal line to the y axis. You should reach y = 3.

This is all shown in the diagram below.

In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.

So the remainder is 3.

Answer:

3

Step-by-step explanation:

What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО

Answers

Answer:

log2 8=c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-3-(-8)-(-2)=

-3+8+2=

7

why is number multiplied by it self called a square of a number

Answers

Answer:

Because it is 2 of the same number.

Step-by-step explanation:

Answer:

I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.

Step-by-step explanation:

I hope this helps. Have a good day! :)

Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:

A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.

Answers

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Describe the end behavior of the graph f(x) using limits.

Answers

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Find the sale price of the item. Round to two decimal places if necessary.


Original price: $76.00

Markdown: 33%


The sale price is $ .


PLZ ANSWER ASAP!

Answers

25.08 I think
I divided 76.00 by 33
$50.92 would be the sale price of the item

Cómo se escribe el doble de un número en lenguaje algebraico

Answers

El doble de un número sería : 2x

Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use

In many states you must be at least 16 years old to obtain a driver's license?

Answers

Answer:

You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.

Step-by-step explanation:

You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.

Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop

Answers

Answer:9

Step-by-step explanation:

You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.

I need help please , it would be nice

Answers

Answer:

cant see the picture

Step-by-step explanation:

evaluate this
| 5+-3-2 |

Answers

Answer:

0 is the answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5+-3= -2

-2-2=0

x-14<-6x+7≤13 solve for x

Answers

Answer:

−1  ≤  x  <  3

Step-by-step explanation:

Solve the system of inequalities.

X must be equal to or greater then -1 and smaller then 3.

You options are -1, 0, 1, & 2

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answers

Complete question :

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answer:

-6°F

Step-by-step explanation:

Temperature at 5am (t1) = - 6°F

Temperature at 3pm (t2) = 36°F

Change in temperature, between 5am and 3pm:

(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F

Hence, temperature at 8:00 pm:

High temperature - change in temperature between (5am - 3pm)

36°F - 42°F = - 6°F

What is the slope of line p

Answers

U have to show us what line p looks like

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

2 1/2 divided by 5/2 = ?

Answers

Answer:

I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.

Step-by-step explanation:

find the square root of 144​

Answers

Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !                                                

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