i need help with ratios of special triangles i was able to teach myself how to do the short leg and hyp but i cant figure out how to do the long leg on a 60 30 90

I Need Help With Ratios Of Special Triangles I Was Able To Teach Myself How To Do The Short Leg And Hyp

Answers

Answer 1

the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle. the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by the square root of 3. so quite basically, hypotenuse = short leg square root, long leg = short leg squared :3 ( ex: short leg is 2 , 2^2 = 4, 2^3= 6 )


Related Questions

Find the volume of this prism.
9 cm
12 cm
6 cm
PLEASE HELP

Answers

Answer:

324cm³

Step-by-step explanation:

Volume of a triangular prism = (height x width x base length) / 2

We are given:

Height = 9cm Base length = 6cmWidth = 12cm

If we plug this into the formula we get (9 x 6 x 12) / 2

==> multiply numbers in parenthesis

volume = 648/2

==> simplify division

volume = 324cm³

HELP PLEASE!!
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

Step-by-step explanation:

The probability of getting a 4 is 1/6, the probability of getting a tails is 1/2. Add the two together 8/12. I don't know if its right but hopefully it helped.

Solve for x
5(x + 1) = 6x+2

Answers

Answer:

X = 3

Step-by-step explanation:


Step 1:

Expand brackets

5x + 5 = 6x + 2

Step 2:

Get 5x on other side by subtracting

5 = 1x + 2

Step 3 :

Get 2 on other side by subtracting

3 = 1x

X = 3 or - 3

What is the range of the relation shown below?
{(-1, -3), (5, 5), (2, 2), (3, 0)}

Answers

(-1,-3) is the smallest and (5,5) is the largest. you have to subtract them.

The range of the function is given by R = { -3 , 5 , 2 , 0 }

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function relation be represented as set A

Now , the value of set A is given by

Set A = { (-1, -3), (5, 5), (2, 2), (3, 0) }

Now , the range is the set of outputs of a relation

So , it is the set of all possible y values in the relation

Substituting the values in the equation , we get

So , the range of the relation is set R = { -3 , 5 , 2 , 0 }

Therefore , the value of R is { -3 , 5 , 2 , 0 }

Hence , the range of the function is { -3 , 5 , 2 , 0 }

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AHHHHH I NEED HELP ASAP lma o anyways what’s 78 x 63???

Answers

Answer:

The answer is 4914

Step-by-step explanation:

Answer:4914

Step-by-step explanation:

Question Help

A forest covers 44,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

8,600 acres are old growth treees

Step-by-step explanation:

Here's The answer have a great day ♡ :)

What is the least common denominator? *
1 2
and
5 3

Answers

Answer:

To get the Least Common Multiple (LCM) of 12 and 53 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

12:    223  

53:          53

LCM:    22353

The Least Common Multiple (LCM) is:   2 x 2 x 3 x 53 = 636

The line CD passes through the points C (2, -1) and D (1.1). Which of the
following represents the equation of the line in Point-Slope Form?

Answers

Answer:

what

Step-by-step explanation:

Help with math problem​

Answers

your answer would be (B)

Please help for math in 2 min or less

Answers

pretty sure the area is 9

Need help ASAP
Thanks+ BRAINLIST only for correct answers (the answer negative is wrong)

Answers

None those two don’t correlate so I’m pretty sure it’s none
because these are unrelated things, it must be none.

1. 7 x ____ = 70

2. 86 x 10 = ____

3. 830 = ____ tens

4. ____ tens = 960

5. 10 x 61 = ____

6. 830 x 10 = ____

7. 1080 = ____ tens

8. ____ x 10 = 610

9. 135 x 10 = ____

10. 100 x 10 = ____

11. ____ x 10 = 790

12. ____ tens = 3700

13. 340 = ____ tens

14. 358 x 10 ____

Answers

Answer:

1. 7×10=70

2. 86×10=860

3. 830=3 tens

5. 6 tens=960

6. 10×61=610

7. 830×10=8300

8. 1080= 8 tens

9. 61×10=610

10. 100×10=1000

11. 79×10=790

12. 0 tens= 3700

13. 340= 4 tens

14. 358×10=3580

Answer:

9

Step-by-step explanation:

Find the y-intercept of the line shown below.

PLS SOMEONE ANSWER THIS!!

Answers

Answer:

The intercept is 2 or (0,2) because that is where it intercepts on the Y axis

Answer:

(0,2)

Step-by-step explanation:

The y-intercept is just where the line passes through the y-axis or when x= 0.

find the output y when the input x is -7 Y=

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

According to the above graphical figure it is found that,

When the input value of x is -7, output value of y is 1.

Location on the graph → (-7,1).

y=1 is the right answer.

I dont understand how to graph it can someone help me

Answers

Answer:

ok so you first point is the y intercept =5 plot this at 5 on the y axis/vertical line from there you plot your slope =1/2 you go up 1 and over 2

Answer: you calculate where the points are and place them in the coordinated spots

Step-by-step explanation:

When looking at coordinates, the first number is on the x axis(horizontal/ side to side line) and the second in on the y axis(vertical/ up and down line) then counting the lines of the point over to the given x axis number, then up the given y axis number

can solve real world problems involving embedded triangles:


The value of x is
please I need this answer quick.

Answers

Answer:

It is 15 x=15

Step-by-step explanation:

Which of the following is the product (5y − 3)2?

Answers

Answer:

= 10y − 6 is your answer

Step-by-step explanation:

option B is correct, 25y²-30y+9 is the product of (5y − 3)².

What is Expression?

The combination of numbers, variables, and operators is known as Expression.

The given expression is (5y − 3)²

The process of determining the product of two or more numbers is Multiplication.

The expression is five times of y minus three to the power of two.

From algebraic identity we have (a-b)²=a²+b²-2ab

Now (5y − 3)²

(5y)²+3²-2(5y)(3)

25y²+9-30y

Twenty five y to the power of two plus nine minus thirty times of y.

25y²-30y+9 is the expression after product of  (5y − 3)².

Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².

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Which of the following is the product (5y − 3)2?

A. 10y − 6

B. 25y2 − 30y + 9

C. 25y2 − 9

D. 25y2 + 30y − 9

which number forms a pythagorean triple with 8 and 10

Answers

Answer:

6

Step-by-step explanation:

6,8, and 10 is the same as 3,4,5. Its just multiplied by 2. Therefore, the missing number in the triple is 6.

The answer is 6 because it’s 6,8,10

Can you help me out with this math problem? Please Simplify: (4 – 5) – (13 – 18 + 2). Show your work on how you got it.
(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

2

Step-by-step explanation:

(4-5)-(13-18+2)

=-1-(13-18+2)

=-1-(-5+2)

=-1(-3)

=2

Brainliest for the correct answer!

Answers

Step-by-step explanation:

(4z +9) + ( 9y - 2) =180

4z + 9y = 173 ....... Equation 1

The angles of triangle = 180

We miss one angle and in opposite of that angle is 135 so

( 5y +5 +4z +9)+135 = 180

5y + 4z + 149 = 180

5y + 4z = 31 ....... Equation 2

Subtract between two equations 1 & 2

4y = 142

y = 142/4

y = 35.5

If Bob can run 3 miles in 27 minutes, how many miles
can Bob run in n minutes?

Answers

Answer:

e

Step-by-step explanation:

Please help me
50 points

Answers

Answer:

f(x)=3(-1)+10 Answer: 7

f(x)=3(0)+10 Answer: 10

f(x)=3(1)+10 Answer: 13

f(x)=3(4)+10 Answer 22

I'm having trouble graphing this problem: y=3/5x

Answers

Answer:

(the slope is 3/5)

Hope this helps :)

Can somebody help me ill give u brainlist

Answers

90 degrees hope this helps :)
Your answer is 90

You can see that there’s a right angle on the right side of the triangle.
Or, if you want to be more specific:

Since two triangles are congruent,
Angle w=62

So, 180-(28+62)
= 180-90
=90

Lebron James's Free Throw % is 75%

What is the probability that he makes 6 Free Throws in a row?

Answer as a decimal rounded to 2 places.

Answers

Answer: 0.18

Step-by-step explanation:

From the question, we are informed that Lebron James's Free Throw % is 75%. The probability that he makes 6 Free Throws in a row would be gotten by multiplying 75% six times. This will be:

= 75% × 75% × 75% × 75% × 75% × 75%

= 3/4 × 3/4 × 3/4 × 3/4 × 3/4 × 3/4

= 729/4096

= 0.18

please help me on this will give you brainliest

Answers

Answer:

I believe the answer is 6.6600 pls let me know if im wrong

Step-by-step explanation:

Answer:

Six and Sixty-six ten thousandths in deciamal form- 6.0066

:)

10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:

Answers

Answer:

Step-by-step explanation:

5/2

The equation in slope intercept form is
y=5/2x + 8

Hope this helps! :)

Write an exponential function to model the following situation.
A population of 130,000 grows 3% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=10

Answers

Answer:

y = 130,000(1.03)ˣ

Step-by-step explanation:

The general form of an exponetial function is y = abˣ, where a is the initial value (when x = 0), and b is the multiplier (the growth or decay factor). Here, we start with a population of 130,000, so our initial value a = 130,000. A growth of 3% each year represents a growth factor of 1.03, so after x years, the population y should be y = 130,000(1.03)ˣ.

The exponential function in terms of x and y is y = 130,000(1.03)ˣ

What is an exponential function ?

The exponential function is a mathematical function denoted by

y = abˣ

where a is the initial value (when x = 0)

and b is the multiplier (the growth or decay factor).

population starts from 130,000, so

Initial value a = 130,000.

A growth of 3% each year represents a growth factor of 1.03,

so after x years, the population y should be

y = 130,000(1.03)ˣ

Therefore , The exponential function in terms of x and y is y = 130,000(1.03)ˣ

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The diameter of a circle is 9 cm. Find its area to the nearest tenth.

Answers

63.6 cm

Cut diameter in half to find radius

9/2 = 4.5

radius = 4.5

This is the formula for area of a circle:

pi * radius^2

pi * 4.5^2

20.25pi

Now find pi:

20.25 * pi = 63.6

Answer:

63.6 cm is the area

Answer:

63.6

Step-by-step explanation:

1. A = πr²

2. Find the radius (r). Since the radius of a circle is the diameter/2, the radius is 9/2, which is 4.5

3. Now that we know the radius, we plug it into our formula: A = π(4.5)²

4. Simplify: A = 3.14(20.25)

5. A = 63.62

6. Rounding to the nearest tenth makes your answer 63.6

help solve this please

Answers

answer is n=32

2/7 = n/112

multiply both sides by 112

112 x (2/7) = n

then solve for n
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