Sine = (opposite)/(hypotenuse).
Cosine = (adjacent)/(hypotenuse).
Tangent = (opposite)/(adjacent).
Fill in the numbers. They're all on the drawing . Then memorize these definitions. You'll need them as long as you're in school, and possibly after.
Answer:
see below
Step-by-step explanation:
41
-4 ≤2+4x<0
Subtract 2 from all sides
-4-2 ≤2-2+4x<0-2
-4 ≤2+4x<0
Divide all sides by 4
-6/4 ≤4x/4<-2/4
-3/2 ≤x <-1/2
graph is attached
45
2x-3 ≤-4 or 3x+1 ≥4
Lets solve the left side first
2x-3≤-4
Add 3 to each side
2x-3+3 ≤-4+3
2x ≤-1
Divide by 2
2x/2 ≤-1/2
x ≤-1/2
Now solve the right inequality
3x+1 ≥4
Subtract 1 from each side
3x+1-1 ≥4-1
3x ≥3
Divide by 3
3x/3 ≥3/3
x≥1
So we have
x ≤-1/2 or x≥1
see attached
Notice closed circles where there is a greater than equal to or less than equal to
Answer:
a.) 1003
Step-by-step explanation:
The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.
1) Let's substitute the values into the formula.
S17 = 17/2[2(11) + (17 - 1)6]
S17 = 17/2[22 + (16)6]
S17 = 17/2[22 + 96]
S17 = 17/2[118]
S17 = 17/2 × 118
S17 = 1003
Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).
19 is you awnser since:
By order of operations first do the exponent and then do the multiplication and finally the subtraction
3 to the third is 27
4 times 2 is 8
so 27-8 is 19
3 to the(3)-(4)(2)
27-(4)(2)
27-8
19 is your answer
4.50x24=108 he paid $108 for developed pictures.
