Find m. Leave answer in simplest radical form.
1
30°

Find M. Leave Answer In Simplest Radical Form.130

Answers

Answer 1

Answer:

m = 6√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from angle measure

Angle = 30°

Adjacent Leg = m

Hypotenuse = 12

Step 3: Solve for m

Substitute [cosine]:                    cos30° = m/12Isolate m:                                    12cos30° = mEvaluate:                                     10.3923 = mRewrite:                                       m = 6√3


Related Questions

Which of following is the graph of y -(X+ 1)-37

Answers

Answer:

The third graph(left to right)

Step-by-step explanation:

the vertex would be (-1,-3) from the formula.

In ΔHIJ, i = 550 inches, j = 150 inches and ∠H=92°. Find the length of h, to the nearest inch.

Answers

Answer:575

Step-by-step explanation: deltamath

Doug is analyzing the daily profits from the past month for three of his restaurant franchises. He has calculated the mean and standard deviation of the data, in dollars, as shown below.
Location A Location B Location C
Mean = 6,127.85
SD = 413.51 Mean = 6,296.07
SD = 440.67 Mean = 6,191.28
SD = 330.83

For which store does 68% of the data lie between $5,714.34 and $6,541.36 (1 SD from the mean)?


2.
For which location does 95% of the data lie between $5,529.62 and $6,852.94 (2 SD from the mean)?


3.
Which location had the highest average daily profit during the past month?

Answers

Answer:

it is b a c on plato

Step-by-step explanation:

BASED ON THE GRAPH, WHICH STATEMENT APPEARS TO BE TRUE?

Answers

A (hope this helps) just look at where they both touch

Write 0.115 as a fraction

Answers

Answer:

23/200

Step-by-step explanation: all you have to do is divide it lol

Answer:

23/200~ as simplified, 115/1000~ not simplified

Step-by-step explanation:

115/1000= 23/200

Hope this helps ∞<3

HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

y = 3x-5

Step-by-step explanation:

The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.

rotate the triangle 90 degrees anticlockwise about the clock

Answers

Answer:

see pdf

Step-by-step explanation:

9515 1404 393

Answer:

  see attached

Step-by-step explanation:

The figure turns 1/4 turn to the left, with the point at the cross remaining stationary.

please help for gods sake,,,

Answers

Answer:

Step-by-step explanation:

for the table you just add 45 to all the numbers, so it will be 135, and 270

you will just have to graph that.

Answer:

$90 to rent and 15$ per guest. equation is y=15x+90. initial value is 90, rate of change is 15.

Step-by-step explanation:

A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?

Answers

Answer:

The slope is equal to [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

In order to solve this question we need to know that.......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Where "m" = slope," [tex]y_{2}-y_{1}[/tex]" = first difference, and [tex]x_{2} - x_{1}[/tex] is the difference of the x values of the two points that we chose to fid the slope.

(If you don't understand something I would recommend to read about first differences and how we can use the first differences to find the slope).

Now we need to find two points on the line. One of them is already given to us and it is (36,27). In order to find the second one we will have to find a point with "x" and "y" values that have the same relation ship to each other as the point (36,27). We can do that by doing the following

[tex]\frac{x/a}{y/a} =\frac{x_{1} }{y_{1} }[/tex]

In this case a any common factor of "x" and "y" except 1. So now we can do the following...

[tex]\frac{36}{27} = \frac{36/9}{27/9} = \frac{4}{3}[/tex]

Now we know that another point on this line is (4,3).

Now all we have to imagine (36,27) as ([tex]x_{2} ,y_{2}[/tex]), and imagine (4,3) as [tex](x_{1} , y_{1})[/tex]. so now......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{27 - 3}{36-4} = \frac{24}{32} = \frac{3}{4}[/tex]

An ornithologist wants to look at the relationship between the breadth of peregrine falcon eggs and the mass of
the falcon chicks that hatch from them. The data show a linear pattern with the summary statistics shown
below:

Answers

Answer:

-44.3+1.9x

Step-by-step explanation:

Sam read 30 of the assigned book already and reads 34 pages per night. Charlie read 100 already and reads 20 pages per night. How many nights will it take for Sam to be ahead of Charlie in the book?

Answers

Sam: y = 30 + 34x
Charlie: y = 100 + 20x
30 + 34x = 100 + 20x
14x = 70, x = 5(equal)
It will take 6 nights for him

PLEASE ANSWER QUICKLY



Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.
Answer:

Answers

ANSWERS AND STEPS???

Find the slope of a line perpendicular to each given line.

Answers

Answer:

D) 2

Step-by-step explanation:

Reciprical of slope

-1/2

reciprical is

+2/1

2

PLEASSSEEEE HELP ME FIGURE THESE OUT ILL GIVE YOU ALL MY POINTS!!!

Answers

Answer:

LOL i don't even know

Step-by-step explanation:

Write the following in standard form:
2x*3x^2

Answers

Answer

1296

Step-by-step explanation:

The explanation is 2x is written as 2*2 = 4

then 3x is written as 3*3 = 9  so

so you do 4*9 = 36 * 2 = 1296

Answer:

The answer to your problem is: 6x³

Helpppppppppppppppppppppppppppppppppppppp

Answers

Answer:

A.) Point A is closer to the surface of the sea than point B

Step-by-step explanation:

-7/3 = -14/6

-5/2 = -15/6

Point A is closer to the surface of the sea than point B.

Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8

Answers

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

In the picture, quadrilateral A'B'C"D' is an image of quadrilateral ABCD after a rotation. The center of rotation is E. Label the missing side and angle measurements

Answers

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

Help me with number 5 rn i need help its due soon.

Answers

Answer:

It's option B

= - 1/3 -(-5/12)

= - 1/3 +5/12

Because minus and minus is plus

- - = =

Hope it's help ^_^

That me answers B yw :)

What is the slope of the line whose equation is: y = 2/5x - 5?

Answers

The slope is 2/5. Rise 2 and run 5

What is the perimeter of this triangle HELP!!



A-4
B-20
C-40
D-60

Answers

Answer:

60 and

x=4

Step-by-step explanation:

V-100
DONE
What is the square root of negative one hundred

Answers

Answer:

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

Answer:

10i

Step-by-step explanation:

Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)

estimate 40,182 ÷ 2​

Answers

Answer: 20,091 is the answer but if you round it becomes to 22,090

Answer:

20091

Step-by-step explanation:

solve 3cosx-1,0<=x<=pi/2

Answers

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

Hint: | Can the integrand be simplified?

Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

Answer: E(-9)≈3.4936

Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

A. Write a linear model (equation) that represents the height of the plant after d days

B. What will the height of the plant be after 20 days

Answers

A. y=1.5d+5
B. 35 cm high

Answer:

A. y=1.5d+5

B. 35 cm high

Step-by-step explanation:

hope this helps

Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?

Answers

Answer:

R = 148.6111%/year

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving our equation:

r = (1/4)((1500/216) - 1) = 1.48611111

r = 1.48611111

Converting r decimal to R a percentage

R = 1.48611111 * 100 = 148.6111%/year

The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.

Answer: 3%

Step-by-step explanation:

216 / 1500 = 14.4

14.4/ 48 months = .003

.003 x 100 = 3%

pls help will give brainless to the person help picture is the question​

Answers

Answer:

Part 1) Geometric sequence

Part 2) 64 minutes or one hour and four minutes to complete station 5.

Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.

Step-by-step explanation:

Trust me. I used my calculator.

shoutout to lester bc i know he's gonna answer this ;) !

Answers

Answer:

A (-3,9)

Step-by-step explanation:

ok easy they they us

R(2,1) and R'(-4,8)

subtract 6 from y and add 7 to y

ok lets solve for S'

S(3,2) now subtract 6 and add 7

(3,2)+(-6,7)

(-3,9)

Giving brainless! Don’t answer if you don’t know I’ll flag you.

Answers

Answer:

The sales tax is $0.40

Step-by-step explanation:

10 x 0.04 = 0.4

0.04 is 40% when multiplying

Tienes 12 personas Todas pesan exactamente lo mismo Menos 1 persona que pesa un poco más o un poco menos Dispones de una balanza y puedes pesar 3 veces Quien es el que pesa distinto

Answers

Answer:

El que pesa distinto es aquel que causa un desnivel en la balanza.

Step-by-step explanation:

Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.

Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.

En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.

En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.

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