the answers as follows
a) 16 b) 13 c) 16 d) 46 e) -630 f) 18 g) -32 h) 50 i) -6 j)38 l)61
Step-by-step explanation:
a) p + 9 = 7 + 9 = 16
b) p - s = 7 - (-4) = 7 + 4 = 13
c) r - q = 10 - (-6) = 16
d)q + 52 = -6 + 52 = 46
e) pqr = 7 X (-6) X 10 = -630
f) r + 8 = 10 + 8 = 18
g) pq + r = 7 X (-6) + 10 = -42 + 10 = -32
h) r - qs = 10 - (10 X (-4))= 10 + 40 = 50
i) 3r + 6q = 3 X 10 + 6 X (-6) = 30 - 36 = -6
j) 59 - 3p = 59 - 3 X 7 = 59 - 21 = 38
k) check your question
l) 4q + 85 = 4 x (-6) + 85 = -24 + 85 = 61
One way to solve this question is through trigonometry. :)
If you've learnt trigonometry, here are the basic formulas:
SOH CAH TOA (These formulas only apply for right-angled triangles)
Sin(angle) = (Side that is Opposite of angle)/(Hypotenuse)
Cos(angle) = (Side that is Adjacent of angle)/(Hypotenuse)
Tan(angle) = (Side that is Opposite of angle)/(Side that is Adjacent of angle)
In this case, we should use sine of b (the angle at the top of triangle as indicated in your question), where the opposite side is the base (I.e. 4 indicated in your question) and the hypotenuse is 9.
sin(b) = 4/9
{Make angle b the subject of the equation}

{Type this into the calculator}
Angle b = 26.4° (rounded off to 1 decimal place)
Hope this helps! :)
Answer:
G = 15 - 5.50 ÷ .75
or
G = 9.50 ÷ .75
Step-by-step explanation:
1.The outer boundary,especially of a circular area ; perimeter
2.The area within a bounding line
The expression 1.22y is the amount spent by Jonathan.
<u>Step-by-step explanation</u>:
- The cost per pencil = $0.28
∴ The total cost of 3 pencils = 0.28
3 = $0.84
- The cost per eraser = $0.38
∴ The total cost of y erasers = 0.38
y = $0.38y
Jonathan spent = Total cost of pencil + total cost of eraser
⇒ 0.84 + 0.38y
⇒ 1.22y