Answer:
The answer to your question is 10 hours.
Step-by-step explanation:
Inequality 12h + 240 > 360
Solve the inequality as if it was an equation
12h > 360 - 240
12h > 120
h > 120 / 12
h = 10 hours
Let's evaluate some number of hours
If h = 3 12(3) + 240 > 360
36 + 240 > 360
276 > 360 Incorrect, she needs to work more
than 3 hours
If h = 5 12(5) + 240 > 360
60 + 240 > 360
300 > 360 Incorrect, she needs to work more
than 5 hours
If h = 7 12(7) + 240 > 360
84 + 240 > 360
324 > 360 Incorrect she needs to work more
than 7 hours
If h = 11 12(11) + 240 > 360
132 + 240 > 360
372 > 360 Correct, she needs to work at least
10 hours.
We need to subtract: the scientist needed 57,500 dollars, but already had 32,506, so we need to find what's left: 57,500 - 32,506 = 24,992 dollars
Your answer is A. Hope that helps! :)
1.
a^2+b^2=c^2
easy
a=a
b=13
c=21
a^2+13^2=21^2
a^2+169=441
minus 169 both sides
a^2=272
sqrt both sides
a=16.4924
D is answer
2. same thing
a=18
b=26
18^2+26^2=c^2
324+676=c^2
1000=c^2
sqrt both sides
31.6228=c
C is answer
3.
one way is to plug them in
remember that hypotonuse is longest side
A. 7^2+24^2=25^2, is that true?, yes it is treu
answer is A
4.
legs are 6 and 4
a=6
b=4
c=x
4^2+6^2=x^2
16+36=x^2
52=x^2
sqrt both sides
7.2111=x
7.2=x
5.c=20
a=x
b=14
x^2+14^2=20^2
x^2+196=400
minus 196 both sides
x^2=204
sqrt both sides
x=14.2829
x=14.3
1. D
2. C
3. A
4. 7.2
5. 14.3
