Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

a 30-60-90 right triangle is a right triangle because of the 90

the 30 and the 60 have to make 90 too since traingles make 180

30 + 60 + 90 = 180

so 30-60-90 is a right triangle.

Right triangles also can use pythagoran theorem, so the angle ratio is

30-60-90

but the side ratio is

a² + b² = c²


Related Questions

Answer the question in the picture please and if you don't know please just don't answer it <3

Answers

9514 1404 393

Answer:

340 quarters1020 dimes1031 nickels2062 pennies

Step-by-step explanation:

x is the number of quarters

__

a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters

b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes

c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels

d) The total number of coins is ...

  x + d + n + p = 4453

  x + (3x) +(3x +11) +(6x +22) = 4453

  13x +33 = 4453

  13x = 4420

  x = 4420/13 = 340 . . . . number of quarters collected

  3x = 1020 . . . . . . . . . . . .number of dimes collected

  1020 +11 = 1031 . . . . . . . number of nickels collected

  2·1031 = 2062 . . . . . . . . number of pennies collected

There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.

_____

Check

340 +1020 +1031 +2062 = 4453 . . . as required

Katrina bought a total of 18 donuts and cookies at the South Lyon Bakery and spent a total of $10.50. If each donut cost $0.75 and each cookie cost $0.50, how many of each did she buy? Define the variables Equations Solution

Answers

Katrina bought 6 cookies

I need this answer ASAP

Answers

Answer:

Option B

Step-by-step explanation:

20 cups of grape juice and 10 cups of apple juice

4*5=20

2*5=10

Can I plz have brainliest?

Answer: The answer is B or some people say its 2, and others #2: 20 cups of grade juice, and 10 cups of apple juice.

Step-by-step explanation: Ok so if there are 4 cups of grape juice and 2 cups of apple juice the we need to multiply both of them by 5 because it says what does she need to make 5 TIMES or x the recipe so 4x5=20 for grape juice and 2x5=10 for apple juice so The answer is B or some people say its 2, and others #2: 20 cups of grade juice, and 10 cups of apple juice.

plz mark me brainliest

How to mark brainliest on the bottom right of an answer is a crown if there is not refresh the page if there still is not the look if there are 2 answers if there are not then wait, to mark brainliest tap on the crown.

Hope this helps!

Identify the y-intercept (initial value) in the function
f(x)=130.27)^x
.27
3.51
13
.27
HURRY PLS

Answers

Answer: 13

Step-by-step explanation:

Raul's hunting club membership costs $130 plus $45 per month. Which equation represents the cost of membership for x months?

Answers

Answer:

[tex]y = 130 + 45x[/tex]

Step-by-step explanation:

Given

[tex]Base = 130[/tex]

[tex]Monthly = 45[/tex]

Required

The cost for x months

Represent this cost with y.

So:

[tex]y = Base + Monthly * x[/tex]

[tex]y = 130 + 45 * x[/tex]

[tex]y = 130 + 45x[/tex]

Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W. (We will assume the rivers flow straight from Great Falls to Lemhi on the surface of Earth). Apply the Law of Cosines for Sides of a spherical triangle to find the angle between Great Falls and Lemhi.

Answers

Answer:

The angle between Great Falls and Lemhi is approximately 3.02°

Step-by-step explanation:

The location parameters are;

The Great Falls location = 47.5° N, 111.3° W

The location of Lemhi = 45.5 °N and 113.5 °W

Therefore, we have;

The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°

The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°

The angle between the lines of longitude, P = 113.5° - 113° = 0.5°

By the law of cosines for Sides of a spherical triangle, we have;

CosAB = cos AP·cosPB + sinAP·sinPB·cosP

Where;

AB = The angle between Great Falls and Lemhi

∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986

AB ≈ arccos(0.9986) ≈ 3.02°

The angle between Great Falls and Lemhi ≈ 3.02°

Factorise the following.​

Answers

Answer:

iii. (p - 7)(p - 3)

iv.(x - 8)(x + 4)

Step-by-step explanation:

iii. p² - 10p + 21

= p² - (7 + 3)p + 21

= p² -7p -3p + 21

= p(p - 7) - 3(p - 7)

= (p - 7)(p - 3)

iv. x² - 4x - 32

= x² - (8 - 4)x - 32

= x² - 8x + 4x - 32

= x(x - 8) + 4(x - 8)

= (x - 8)(x + 4)

Seven students were surveyed on the number of pets in their house. The results are shown below:
2, 2, 2, 3, 4, 4, 11
What is the mean number of pets?

Answers

Answer:

the mean number of pets is 4.

Step-by-step explanation:

if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.

The answer is 4, sum of all numbers divided by number of terms is 28/7 and or 4.

17x17x17x17 write each peduct using an app exponent

Answers

Answer:

[tex]17^4[/tex]

Step-by-step explanation:

2028.863 rounded to the nearest hundredth

Answers

Answer:

2028.863 to the nearest hundredth

The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.

So Its 2028.86

Answer:

2,028.86

Step-by-step explanation:

this is the correct answer to your question

Please help me

I give u brainliest answer if correct and all those

Answers

Answer:

3) 23.32

4) 11.12

5) 2.06

6) 20.69

..................

Answer:

Step-by-step explanation:

3. 12+3.04+8.28= 23.32

4. 6.97+4.15= 11.12

5. 9.04-6.97= 2.07

6. 4.02+0.19+16.48= 20.69

Sorry if I'm wrong hope it helps!

PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)

Answers

Answer:

800 × ( 3.87 ÷ 100 ) × 1

= 30.96

A sample of six repair records for a different type of fiber optic component was drawn. The repair costs, in dollars, were as follows. 93 97 27 79 81 87 Would it be appropriate to compute a 95% confidence interval for the population standard deviation of the costs

Answers

Answer:

The answer is "This is the right thing. There might be a surface sample which indicates that the population is not regular".

Step-by-step explanation:

When the community is ordinary or a biosensor, a normal distribution could be calculated for the dependent variable. Data shows chi-squared distributions of n-1 degrees - of - freedom about the dependent variable.

Chi-square was its precise outcome for the data set, while chi-square is a close estimate for non-normal information. So, we should also calculate CI for uncommon information. Throughout the case of an outlier, however, data refers to non because as mean tends to move in a skewed direction to the outer surface.

Please show youre work and i will give brainliest :)

Answers

Answer:

[tex]y = \frac{1}{6}x - 4[/tex]

[tex]y = \frac{x}{2} + 2[/tex]

[tex]y = \frac{1}{8}x[/tex]

[tex]y = \frac{1}{6}x+ \frac{2}{3}[/tex]

[tex]y = 12x - 9[/tex]

Step-by-step explanation:

Required

Represent in gradient intercept form

This means that the equation be in form: [tex]y = mx + c[/tex]

Solving (a): [tex]3y = \frac{1}{2}x - 12[/tex]

Divide through by 3

[tex]\frac{3y}{3} = \frac{1}{3*2}x - \frac{12}{3}[/tex]

[tex]y = \frac{1}{6}x - 4[/tex]

Solving (b): [tex]5x = 10y - 20[/tex]

Make y the subject

[tex]10y = 5x + 20[/tex]

Divide through by 10

[tex]y = \frac{5x}{10} + \frac{20}{10}[/tex]

[tex]y = \frac{x}{2} + 2[/tex]

Solving (c): [tex]x = 8y[/tex]

Make y the subject

[tex]8y= x[/tex]

Divide through by 8

[tex]y = \frac{1}{8}x[/tex]

Solving (d): [tex]\frac{1}{2}x = 3y - 2[/tex]

Make y the subject

[tex]3y = \frac{1}{2}x+ 2[/tex]

Divide through by 3

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

[tex]y = \frac{1}{6}x+ \frac{2}{3}[/tex]

Solving (d): [tex]\frac{2}{3}y - 8x = -6[/tex]

Make y the subject

[tex]\frac{2}{3}y = 8x -6[/tex]

Divide through by 3/2

[tex]\frac{3}{2} * \frac{2}{3}y =\frac{3}{2} * ( 8x -6)[/tex]

[tex]y =\frac{3}{2} * ( 8x -6)[/tex]

[tex]y =\frac{3}{2} * 8x -\frac{3}{2} * 6[/tex]

[tex]y = 3 * 4x - 3 * 3[/tex]

[tex]y = 12x - 9[/tex]

find the axis of symmetry and vertex. f(x)=2x2-8x+6​

Answers

axis of symmetry: 2
vertex: (2,-2)
axis of symmetry x=2
Vertex =(2,-2)
You can use photomath also and it will give you the graph

Can you help me please here is the image

Answers

Answer:

f=u+2

Step-by-step explanation:

math

Use mental math to simplify.
(4.55 + 27) + 5.45

Answers

Answer:

31.55+5.45

Step-by-step explanation:

4.55+27 would go to 31.55

31.55+5.45

Answer: 37

Step-by-step explanation:

4.55 + 27 = 31.55

31.55 + 5.45 = 37

a school has 2 computer labs each lab has 30 computer

Answers

Answer:

the answer is 60 because 2 times 30 is 60

Step-by-step explanation:

When deciding between two alternatives, an individual considers

Answers

Answer:

Between two factors moving the same direction.

Hoped this helped

Guys I need help, if a couch costs 200 dollars and is marked up 300 percent, what is the cost?

Answers

Answer:

200 X 300% =$600.00

Step-by-step explanation:

About 20,000 fewer babies were born in
California in 1996 than in 1995. In 1995,
about 560,000 babies were born. Which
equation can be used to predict the
number of babies y (in thousands), born x
years after 1995?

Answers

Answer:

The answer is B

Step-by-step explanation:

Your substracting the 20,000 from the 560,000

5/6 + (-4/9) - (-2), is this right??

Answers

Answer:

YES SIR OR I MEANT YES MAM

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error

Answers

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

A bag contains three yellow tickets numbered on to three. The bag also contains four green tickets numbered one to four. What is the probability of randomly picking a ticket that is yellow or has an even number?​

Answers

6/7 because there are 7 tickets in total and 3 of them are yellow and 3 of them have even numbers.

Answer:

6/7

Step-by-step explanation:

yellow = 3

even =3

3+3=6

n(s)=7 so 6/7

PLEASE HELP will give right answer brainiest

Answers

Answer:

48 -52  and 64 - 66

Step-by-step explanation:

sence it dosent give exact numbers on the graph ur going to have to estimate then to find when it increases look for an interval were it goes up reading from left to right and for decreasing look for an interval that is going down reading the graph left to right

Number 1 is b and number 2 is c

giving brainliest ! *easy*

Answers

Answer:

19π/15

Step-by-step explanation:

Answer:

θ + 19π / 15 this is my answer

How are zero identified in a rational expression??? Please help

Answers

0x0

Step-by-step explanation:

Answer:

look at the y and x intercept

Step-by-step explanation:

SOMEONE HELP ME PLEASE I BEG YOU

Answers

Answer:

x=40 mark brainlist please

Step-by-step explanation:

6 Some women are hardworking​

Answers

oh this is confusing

Answer:

Uuummmmmmm...…

Step-by-step explanation:

What-

How-

Why-

???

Someone help me please

Answers

Answer:

1440°

Step-by-step explanation:

the formula used for this is (n-2)×180° where n=# of sides in the polygon

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