Answer:
25 cent stamps = 13 and 29 cent stamps = 15
Step-by-step explanation:
x = 25 cent stamps and y = 29 cent stamps
x + y = 28......x = 28 - y
0.25x + 0.29y = 7.60
0.25(28 - y) + 0.29y = 7.60
7 - 0.25y + 0.29y = 7.60
-0.25y + 0.29y = 7.60 - 7
0.04y = 0.60
y = 0.60 / 0.04
y = 15 <===== 29 cent stamps
x + y = 28
x + 15 = 28
x = 28 - 15
x = 13 <===== 25 cent stamps
lets check it...
0.25x + 0.29y = 7.60
0.25(13) + 0.29(15) = 7.60
3.25 + 4.35 = 7.60
7.60 = 7.60 (correct..it checks out)
Yes, the angles are the same as the shape is smaller, but it will be a different size
If we divide 12.6/4.5 by 3 we receive 4.2/1.5. So yes they are proportional. <span />
Answer:
The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
Answer:
7.25cm
Step-by-step explanation:
Let the complete question be;
<em>Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.</em>
<em />
Area of a trapezoid = 1/2(a+b)*h
a and b are the parallel sides (bases)
h is the height
Given
a = 3.5cm
b = 8.5cm
A = 43.5 sq.cm
Required
Height h
Substitute the given values into the expression
Area of a trapezoid = 1/2(a+b)*h
43.5 = 1/2(3.5+8.5)*h
43.5 = 1/2 * 12h
43.5 = 6h
h = 43.5/6
h = 7.25cm
Hence the height is 7.25cm
