Use photomath its are helpful
It's true we can assume that YXZ = YAZ, because:
angle XZY & AZY = 90° (give)
XZ = ZA (given)
YZ (common side), hence both triangles are equal SAS
Given the ratio, you know that:
length = 6x
width = 2x
height = 7x
Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3
Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm
Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)
I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224
The surface area is 1,224 cm^2.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
