12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours
(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100
Hope this helps! (If not correct me if its wrong xd)
Step-by-step explanation:
2⁴×3²
2⁷
True
1⁰×0¹
1×0
0≠ 1
False
3⁴>4³
81>64
True
4⁰+5⁰+6⁰=(4+5+6)⁰
1+1+1=(15)⁰
3≠0
False
Answer:
1.64698 is the correct answer.
Step-by-step explanation:
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
___
The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
__
The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
__
The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
A. A number line with an open circle on -4, shading to the left, and a closed circle on 3, shading to the right
