please put it in simplest radical form and rationalize the denominators
B=
A=

 Please Put It In Simplest Radical Form And Rationalize The DenominatorsB=A=

Answers

Answer 1

Answer:

a = 36√3

b = 36

Step-by-step explanation:

Reference angle = 30°

Opposite = b

Adjacent = a

Hypotenuse = 72

✔️To find a, apply CAH:

Cos 30° = Adj/Hyp

Cos 30° = a/72

a = Cos 30° × 72

a = √3/2 × 72 (cos 30° = √3/2)

a = √3 × 36

a = 36√3

✔️To find b, apply SOH:

Sin 30° = Opp/Hyp

Sin 30° = b/72

b = Sin 30° × 72

b = 1/2 × 72 (sin 30° = ½)

b = 36


Related Questions

Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s

Answers

Answer:

Can you picture the question?


What is the area???

Answers

Answer:

0.833333333 or 83/100 mi squared

Step-by-step explanation:

a = b x h / 2

Answer:

0.333

Step-by-step explanation:

Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).

Answers

Answer:

None OF THE STATEMENTS ARE CORRECT

Step-by-step explanation:

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $400

Cash flow in year 2 = $600

Cash flow in year 3 = $800

I = 6%

PV = 1,583.05

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

1583.05 x (1.06)^3 = $1885.44

None of the statements are correct based on the above calculations

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Answers

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

Reduce 65 in ratio 5:2

Answers

Answer: [tex]46.42:18.57[/tex]

Step-by-step explanation:

[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

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someone please help me answer this!!

Answers

Answer:

-5 63/100

Step-by-step explanation:

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.


Answers

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8

Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.

What fractional part of the cake do Colin and his friends eat?

Answers

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

15. Which graph shows - 3x + y = 8

first question

Answers

Answer:

Im sorry but i can't read it

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?

Answers

I believe to the my mathematical formula that the answer should be 6.3 due to the fact that 48/2 is 24

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

Find the area in square inches of the figure shown.

Answers

Answer:

8 * 17 = 136

39 * 36 = 1404

1482 + 136 = 1540

Step-by-step explanation:

The area of the figure is 330 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the figure be composed of two different right angled triangles

Now ,  Let the first triangle be ΔABC

Let the second triangle be ΔBCD

Length of first triangle = 36 inches

Base of second triangle = 8 inches

Since the base of the first triangle is equal to the length of the second triangle ,

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying the equation , we get

base² = hypotenuse² - height²

BC² = 17² - 8²

BC² = 289 - 64

BC² = 225

Taking square roots on both sides , we get

BC = 15 inches

Therefore , the base of the first triangle and the length of the second triangle is 15 inches

Now , to find the area

Total area of figure = Area of first Triangle + Area of second triangle

The area of the triangle = ( 1/2 ) x Length x Base

Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )

                                = ( 1/2 ) x 540 + ( 1/2 ) x 120

                                = 270 + 60

                                = 330 inches²

Therefore , the value is 330 inches²

Hence , The area of the figure is 330 inches²

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- 63 y^5
27y^7
- 18y^9
Take out the common factor ​

Answers

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

The average length of a flight by regional airlines in the United States has been reported as 464 miles. If a simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles, what would be the test statistics (t-value) if we are to test whether this tend to cast doubt on the reported average of 464 miles or not

Answers

Answer:

The t-value is t = 1.65.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The average length of a flight by regional airlines in the United States has been reported as 464 miles.

This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].

Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles

This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]

[tex]t = 1.65[/tex]

The t-value is t = 1.65.

Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
$

Answers

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

Answer:

$69

Step-by-step explanation:

115/100=1.15

1.15(40)=46

115-46=69

Hope this helps

hasann please help me

Answers

Don’t believe the link^

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3


Find the area of the figure shown below and choose the appropriate results



A 60 cm
B 66 cm
C 72 cm
D 96 cm

Answers

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?

Answers

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Answer:

36

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

I need help with this question what do I but in the blank for the last number

Answers

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5. Assume the leading coefficient of f(x) is 1. Write the equation of the quartic polynomial in standard form

Answers

Answer:
f(x) = x⁴-6x³-13x²+66x+72
Step-by-step explanation:
Factors are: (x+3)(x+1)(x-4)(x-6)
[(x+3)(x+1)][(x-4)(x-6)]
[x²+3x+x+3][x²-4x-6x+24]
(x²+4x+3)(x²-10x+24)
x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72
f(x) = x⁴-6x³-13x²+66x+72

The equation of the quartic polynomial in standard form is,

⇒ f (x) = x⁴ - 27x² - 14x + 120

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;'

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.

And, the leading coefficient of f(x) is 1.

Hence, We get;

The equation of the quartic polynomial in standard form is,

⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)

⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)

⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)

⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120

⇒ f (x) = x⁴ - 27x² - 14x + 120

Learn more about the quadratic equation visit:

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Plz help me ASAP no bots plz

Answers

Answer:

...

Step-by-step explanation:

the vertex is (-1 , 0)

false

true

the domain is R (all real numbers) ( -♾, +♾ )

the range is negative infinity -♾

Find the product of (x − 3)2.

Answers

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls

Answers

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

What is 0.73 as a percent?

Answers

Answer:

73%

Step-by-step explanation:

Answer:

73 percent

Step-by-step explanation:

Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent

do yallll thingggggggg :)

Answers

Answer:

B.

Step-by-step explanation:

plz help solve,
velocity units are ft/min

Answers

Answer:

t = 11 min

and

t = 18 min

Step-by-step explanation:

When we have unidimensional motion, the sign of the velocity defines the direction.

So we could say that a positive velocity like:

v = 4ft/min

Means that you are moving to the right with a speed of 4 feet per minute.

And a negative velocity like:

v = -3 ft/min

means that you are moving to the left with a speed of 3 feet per minute.

Then the bug changes direction when the velocity changes of sign.

In the graph, we can see that the velocity changes of sing in two points, these points are:

t = 11 min

and

t = 18 min

Please i need help for all of them!!​

Answers

Answer:

1) x=65

2) x= 70

3) x= 40

4) x= 131

5) x= 75

6) x= 49

7) x= -12

8) x= 42

Which of the following values of f are solutions to the inequality below?
​Select all that apply.

Answers

Answer:

-4 is your answer

Step-by-step explanation:

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.​ How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45

Answers

Answer:

A. -45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45

Answer:

-45

Step-by-step explanation:

She uses $45 when she goes shopping so she is reducing her bank balance.

Gloria draws these figures and lines of symmetry
Which figure shows an incorrect line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D

look in the photo + no links!!

Answers

Answer:

figure c

Step-by-step explanation:

there is an uneven line at the top with the half circle

Simplify the expression
4p−5(p+6)

Please help, thank you :)

Answers

Answer:

-p - 30

Step-by-step explanation:

Hope this helps

Answer:

-p-30

Step-by-step explanation:

4p-5(p+6) Distribute -4 to p and 6

4p-5p-30 simplify by adding the p variables

-p-30

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