Answer:
Angle 4=82 degrees, then i think angle 1 and 3= 98 degrees
Step-by-step explanation:
Angle 2=Angle 4 and 180-82=98
(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2
Answer:
730, 735, 740
Step-by-step explanation:
Let the three consecutive multiples of 5 be, x, x+5 and x+10
Given,
x + x+5 + x+10 = 2205
3x + 15 = 2205
Subtract 15 from both sides,
3x = 2205 - 15
3x = 2190
Divide both sides by 3,
x = 2190/3 = 730
So, x= 730
x+5 = 735
x+10 = 740
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
-2.35 IS THE ANSWERRRRRRRRRRRRRRR
