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4 years ago

the point P = (x, 1/2) lies on the unit curcle shown below. what is the value of x in the simplest form

Mathematics

1 answer:

Mrac [35]4 years ago

5 0

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0

3 years ago

Ramiro brought home ten pounds of rice to add to the 24 ounces of rice he had in the pantry. Let x represent the amount of rice

lianna [129]

16 ounces in a pound.
24 oz= 1.5 ibs.
Added to 10 ibs.
Now has 11.5 ibs.

R(x)= 11.5 - x

3 0

3 years ago

Read 2 more answers

Use a calculator or a square root table to approximate to the nearest thousandth

Vadim26 [7]

Answer:

- 13.077

Step-by-step explanation:

Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.

The given expression is $- \sqrt{ 171 }$ .

Now, using calculator $\sqrt{ 171 } = 13.076696$

Now, $- \sqrt{ 171 } = - 13.076696$

So, approximate value to the nearest thousandth is - 13.077 ( Answer )

4 0

3 years ago

Maryland had $(62xsquared + x - 4) on mondays she spent $(11x squared - 33) on a pair of gloves how much money did she have left

Anton [14]

Answer:

$( 51x^2 + x + 29).

Step-by-step explanation:

Amount she had left = original amount - amount spent on the gloves

= 62x^2 + x - 4 - (11x^2 - 33) (note we place the amount spent on gloves in parentheses because we have to subtract the whole amount)

Now we distribute the negative over the parentheses:

= 62x^2 + x - 4 - 11x^2 + 33 ( note - 33 becomes -33*-1 = +33)

Now simplifying like terms:

= 51x^2 + x + 29 (answer).

7 0

3 years ago

Please help me solve the first one and show all work

Leto [7]

Acc. to midpoint theorem,

15={(2x+9) + (4x-15)}/2
⇒ 30=2x+9+4x-15
⇒ 30-9+15=6x
⇒ 36/6=x
⇒6=x

WZ= 4x-15
=4*6-15
=24-15=9

3 0

3 years ago