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8090 [49]
3 years ago
7

What is the exact value of cot pi/3?​

Mathematics
1 answer:
Volgvan3 years ago
5 0
1√3
The exact value of cot(π3) cot ( π 3 ) is 1√3 .
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Karen has 7 over 8cup of ice cream. How many 1 over 3cup servings can she make?
alukav5142 [94]

Answer:

21/24

Step-by-step explanation:

3 0
3 years ago
Which equation represents a line that passes though (4, 1/3) and has a slope of 3/4
stiks02 [169]

Answer:

\large\boxed{y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)\leftarrow\text{point-slope form}}\\\boxed{y=\dfrac{3}{4}x-2\dfrac{2}{3}\leftarrow\text{slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

We have

slope m=\dfrac{3}{4}

point \left9,\ \dfrac{1}{3}\right)\to x_1=4,\ y_1=\dfrac{1}{3}

Substitute:

y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)

Convert to the slope-intercept form (y = mx + b):

y-\dfrac{1}{3}=\dfrac{3}{4}x-3            <em>add 1/3 to both sides</em>

y=\dfrac{3}{4}x-2\dfrac{2}{3}

4 0
3 years ago
Jim got C candies from the first house and 6 from the second. Altogether Jim has more than 9 pieces of candy. Write and inequali
forsale [732]
C+6 \geq 9. Notice that the sentence says "has more than 9 pieces of candy" meaning that it could be equal to or greater than 9.

7 0
3 years ago
Read 2 more answers
A security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are? used, since the fourth
alexandr1967 [171]
Let x = length of the park
Let y = width of the park

Because the area is 392392 ft², therefore
xy = 392392          (1)
Because three sides of fencing measure 5656 ft, therefore
2x + y = 5656        (2)
That is
y = 5656 - 2x          (3)
Substitute (3) into (1).
x(5656 - 2x) = 392392
5656x - 2x² = 392392
2x² -5656x + 392392 = 0
x² - 2828x + 196196 = 0

Solve with the quadratic formula.
x = (1/2)*[2828 +/- √(2828² - 4*196196)]
   = 2756.83 or 71.17

Answer:
The possible dimensions are 2756.8 ft and 71.2 ft (nearest tenth)
3 0
3 years ago
What are partial products for 35 x 69
stealth61 [152]
35×69=35*69
35*69=2415
5 0
4 years ago
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