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Tems11 [23]
3 years ago
10

What is the value of arccos(−1/2)in radians? a) 2pi/3 b)pi/3 c)pi/6 d)5pi/6

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

a] 2pi/3

this is the answer

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​
goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

<u>a=b+3</u>

5 0
2 years ago
What is the surface area?
Blizzard [7]

Answer:

42 square yards

Step-by-step explanation:

T.S.A of cube

= 6l {}^{2}  \\

where l = 7yd

= 6(7) \\  = 42 \: yd {}^{2}

thus, the surface area of cube is 42 square yards

8 0
3 years ago
Find the value of x in the equation 9-4x=57
kirill115 [55]
<span> 9-4x=57
-4x = 57 - 9
-4x = 48
   x = -12</span>
5 0
3 years ago
Read 2 more answers
The following table shows the salary of 7 people in an office last year.
Andreas93 [3]

Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

Sum = 195500-79000 = 116500

The mean without Deva's income is:

Mean = \frac{116500}{6} = 19416.6666..

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

7 0
2 years ago
SIMPLIFY THIS EXPRESSION:<br> 2(z + 3) + 3(5 - 3z)
quester [9]
2z+6+15-9z
-7z+21

Hope this helps
6 0
3 years ago
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