Since all triangles in these questions are similar, we use that the ratios of corresponding sides are equal
(1)
= 
= 
solving = ( cross-multiply )
5x = 36 ( divide both sides by 5 )
x = 
solving =
4y = 30 ⇒ y = 
(2)
let h be the height of the flagpole, then
= 
4h = 275 ⇒ h = 68.75 feet
(3)
= 
12.75x = 561 ⇒ x = 44 feet
Answer:
2390.7 square meters
Step-by-step explanation:
(semicircle area) 30.5/2 = 15.4
15.4 x 15.4
= 232.5625 x 3.14
= 730.24625 x 2 = 1460.4
(square area) 30.5 x 30.5 = 930.25
930.25+ 1460.4= 2390.7 square meters
you may want to double check the answer however
Answer:
69+69
Step-by-step explanation:
Answer: The answer is 10(10)−3(10)−2/4+5=149/2 (Decimal: 74.5)
Step-by-step explanation: Too lazy to explain sorry sksksksksksk but like there's the answer :)
Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
