Answer:
2115
Explanation:
To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS
BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.
BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction
To solve the expression using BODMAS, we solve the brackets first
(60−6)×(13)3+27÷3 =54×39+27/3
Then division
=54×39+9
=2106+9
Then addition
=2106+9=2115
Answer=2115
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
STatiana [176]
Answer:
<h3>The remainder is zero</h3>
Step-by-step explanation:
Given the polynomial function p(x)=x^3-6x^2+32, if x-4 is a factor, then <u>we can find the remainder if the polynomial is divided by x -4.</u>
First we need to equate the function x - 4 to zero and find x;
x - 4 = 0
x= 0+4
x = 4
Next is to substitute x = 4 into the expression p(x)=x^3-6x^2+32
p(x)=x^3-6x^2+32
p(4)=(4)^3-6(4)^2+32
p(4) = 64 - 96 + 32
p(4) = 0
Hence the remainder when x-4 is divided by the polynomial is zero
Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
<h3>Answer: 13.162274 approximately</h3>
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Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
<h3>Answer: 12.791588 approximately</h3>
Answer:
Step-by-step explanation:
subtract 20-5.24=14.76
14.76/ 12=1.23
