Answer:
(-4, -1)
Step-by-step explanation:
-3x - 8y = 20; y = 5x + 19
y = 5x + 19; -3x - 8y = 20
y = 5x + 19
-3x - 8y = 20
-3x - 8(5x + 19) = 20
-43x - 152 = 20
-43x - 152 + 152 = 20 + 152
-43x = 172
-43x / -43 = 172 / -43
x = -4
y = 5x + 19
y = (5)(-4) + 19
y = -1
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Answer:
Surface area = 92 ft²
Step-by-step explanation:
Formula to find the surface area of a rectangular prism is,
Surface area = 2(lb + bh + hl)
Here, l = length of the prism
b = width of the prism
h = height of the prism
By substituting the measures of the sides given in the picture,
Surface area = 2(2×3 + 3×8 + 8×2)
= 2(6 + 24 + 16)
= 2(46)
= 92 square feet
Therefore, surface area of the given rectangular prism is 92 ft².
For cylinders to be similar, the ratio between their height and radius must be equal.Our cylinder's ratio is :

The only cylinder with same ratio is the one at the choice B.