Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Answer:
<u>112 children</u>
<u>180 adults</u>
Step-by-step explanation:
Let the number of adults = A
Let the number of children = C
A + C =292
4A + 1.5C = 888. solve for A, C
A = 292 - C
4[292 - C] + 1.5C = 888
1,168 - 4C + 1.5C = 888
-2.5C = - 280
C = -280 / -2.5
C = 112 - Number of children
292 - 112 = 180 - Number of adults
Answer:
12 months or a year
Step-by-step explanation:
300÷25=12
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
Answer:
2x-6=-16 and 3x- 10=8
Step-by-step explanation:
2x=-16+6 and 3x=8+10
2x=-10 and 3x=18
2x/2=10/2 and 3x/3=18/3
x=5 and X=6
