Are there answer choices ?
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Step-by-step explanation:
If the amount is decreasing by r%, then the final amount is given by :-
, where P = initial value , t= time
Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours
The level of aspirin (mg) will be in your bloodstream in 4 hours = 
Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
From this detail that is a right isosceles triangle result that the angles from the base has measure of 45 degrees
- there is given again that the length of legs is 6"
- than we drawn the height from the right angle on hypotenuse and use sin45 we get
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"
sqrt2 /2 = (half of hyp) /6"
half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be
equal 2*3sqrt2 = (6sqrt2)"
Answer:
681 square inches
Step-by-step explanation:
The surface area of a rectangular prism of dimensions L, W, and H is given by ...
A = 2(LW +H(L+W))
The surface area of the given box is ...
A = 2(12·3 +18.25(12 +3)) = 2(36 +273.75) = 619.5 . . . square inches
The amount of wrapping paper required is 10% more than this value, so is ...
paper required = (1 +.10)(619.5) = 681.45 ≈ 681 . . . square inches
