Answer:
Step-by-step explanation:
1/2 bh
1/2 x 7 x 9
= 31.5 cm^2
Answer:
the number is 105
Step-by-step explanation:
5(x+3) = 3(2x - 1)
5x + 15 = 6x - 3
15 = 1x - 3
(15 + 3)
x = 18
Assuming there is no line under the "less than" sign, this means D + 4 < 7 solves to D < 3, which is what I'm assuming you got. This is found by subtracting 4 from both sides.
Writing D < 3 means D is some number less than 3. A solution is just that. You cannot pick 3 itself because 3 is not less than 3. But you can pick something like 2 since it is less than 3.
D+4 < 7
2+4 < 7 ... replace D with 2
6 < 7 ... true
Or D could be 1
D+4 < 7
1+4 < 7
5 < 7 .... true
and so on.
Answer:
50
Step-by-step explanation:
and 
can be expressed in complex form, with 
= i
= 
= 
× = 8i
= 
= 
× = 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = ( )² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50
The scientist stayed awake in class, so knows that the cosine of angle x is the ratio of y to the sun-moon distance. The sun-moon distance can be found by dividing y by the cosine of x.
