2 points
15. Write the ratios for sin X and cos X. You can indicate v by writing "sq.
root" or using alt 251 on your keyboard. You will have two answers. sin X =
and cos X =

Answer:

A) 5/12

B) 5/12

C) 0/12

D) 11/12

-------------

Q4.

A) 3/15

B) 4/15

C) 12/15

D) 8/15

-----------------

Q5.

A) 2/6 or 1/3

B) 4/6 or 2/3

C)

D)

Step-by-step explanation:

Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

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Answer:

4

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Answer: 8

Step-by-step explanation:  if FH=34 and EG should also =34 then what times 4 +2 would = 34 and that would be 8.    EG=4x+2 put the 8 as the x so 4*8+2 and that = 34.

Answer:

Step-by-step explanation:

Sorry if I got you the wrong answer but I think it's, OB

Answer:  [tex]2^8 = 256[/tex]

Explanation:

The rule to use is

[tex]a^b \div a^c = a^{b-c}[/tex]

We subtract the exponents.

So in this case,

[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]

Answer:

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.

~Denki Kaminari here~

Answer:

5t\sqrt(6su) (THE SECOND ONE)

Step-by-step explanation:

simplify the radical by breaking it up into known factors, assuming positive real numbers.

hope this helps :D

Answer:

A. Similar triangles

Step-by-step explanation:

Triangle ABC

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

They are similar due to the occurrence in angles

Answer:

$253.5

Step-by-step explanation:

195 x .3 = 58.5

58.5 + 195 = $253.5

By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.

How many times does he need to use each cup?

The volume of the sink is 512π in^3.

The blue cup is a cylinder of diameter = 4 in and a height = of 8 in, then its volume is:

V = π*(4in/2)^2*8in = 32π in^3

The number of times that he needs to use this cup is given by:

N = (512π in^3)/(32π in^3) = 512/32 = 16

He needs to use 16 times the blue cup.

The green cup has a diameter =of 8in and a height = of 8in, then its volume is:

V' =π*(8in/2)^2*8in = 128π in^3

The number of times that he must use this cup is:

N' = (512π in^3/ 128π in^3) = 512/128 = 4

He needs to use 4 times the green cup.

hope it helps

have a good day :)

Answer:

24 inches

Step-by-step explanation:

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

Answer:

it would be 5x

Step-by-step explanation:

5x^2-15x

would be 5x because dividing by 5x you would get 5x(x-3)

but if its 5*2-15x, I don't know

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

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Answer: 6 outfits

Step-by-step explanation:

$620 should be greater than the price of the new bicycle + 3 * bicycle reflectors + a pair of bike gloves + unknown number of biking outfits

Therefore, the inequality will be:

620 ≥ 261.04 + 3 × 13.07 + 13.57 + 51.03x

620  ≥ 313.82 + 51.03x

[tex]\text{Solving \ for \ x}[/tex]

[tex]620\ge \:313.82+51.03x[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]313.82+51.03x\le \:620[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]313.82\cdot \:100+51.03x\cdot \:100\le \:620\cdot \:100[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]31382+5103x\le \:62000[/tex]

[tex]\mathrm{Subtract\:}31382\mathrm{\:from\:both\:sides}[/tex]

[tex]31382+5103x-31382\le \:62000-31382[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5103x\le \:30618[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5103[/tex]

[tex]\frac{5103x}{5103}\le \frac{30618}{5103}[/tex]

[tex]\text{Simplify}[/tex]

[tex]{x\le \:6}[/tex]

Therefore, Brianna can buy 6 or fewer outfits while staying within her budget

The solution set for the equation |4x - 9| + 3 = 8 are its true values

The solution set is x = 3.5 or x = 1

The equation is given as:

|4x - 9| + 3 = 8

Subtract 3 from both sides

|4x - 9| = 5

Remove the absolute bracket

4x - 9 = 5 or 4x - 9 = -5

Add 9 to both sides

4x = 14 or 4x = 4

Divide both sides by 4

x = 3.5 or x = 1

Hence, the solution set is x = 3.5 or x = 1

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Answer:

I believe D should be the correct answer

Answer:

41.86 is the right answer

Step-by-step explanation:

Step-by-step explanation:

SinP = sin30° = 1/2

sinQ = sin60° = root3/2

cosR = cos90° = 0

cosQ = cos60° = 1/2

sinR = sin90° = 1

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

The time 8:30AM is 3 and half hours before noon.

The fraction that represents 8:30AM is -3 1/2

The time is given as:

Time = 8:30 A.M

Given that Noon is represented by 0.

It means that time before noon would be represented with negative value

8:30AM is 3 and half hours before noon.

So, we have:

8:30AM = -3 1/2

Hence, the fraction that represents 8:30AM is -3 1/2

Read more about fractions at:

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Answer:

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

This is because they never intersect so there is no solution.

Answer:

no solution

Step-by-step explanation:

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

Answer:

Answer would be 0.4166666667

Step-by-step explanation:

Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]

k = 8

Answer:

y - 1/2 ≤ -3/2

Step-by-step explanation:

y minus 1/2

y - 1/2

is no more than   means is less than or equal to  ≤

y - 1/2 ≤ -3/2