Answer:
149.5
Step-by-step explanation:
Find the area of the star part:
- 5.4 × 7.5 = 40.5
Find the area of the whole flag:
- 19 × 10 = 190
Subtract the two to find the area of the striped part:
- 190 - 40.5 = 149.5
I hope this helps!
Answer:
the final sample space is { 12,15,20,21,28,35}
Step-by-step explanation:
the sample space is the set of possible outcomes of the experiment , then the possible products are
3*7 = 21
3*5 = 15
3*4 = 12
4*7 = 28
4*5 = 20
5*7 = 35
since the product of 2 numbers is commutative, then we do not count the other possible combinations
therefore the final sample space is { 12,15,20,21,28,35}
Note:
to check that we have all the products , the possible combinations are
C(4,2)= 4!/(4-2)!*2!= 3*2*1 = 6
since we have considered 6 products , we are sure that our result is correct
Problem 7
<h3>Answer: Choice A) 7</h3>
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Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
<h3>Answer: D) 40</h3>
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Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
Answer:
Step-by-step explanation:
Can you write it more clearly?
3 equals 25 because 50/2 =25