6<span>√2 is already in it's simplest form as a radical.
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a(b+c)=ab+ac
2(2.5q+8)=2(2.5q)+2(8)=5q+16
1-5q+5q+16
1+0+16
17
Answer:
The measure of ∠ C is 180°-3∝
Step-by-step explanation:
We are given a ΔABC
∠A = ∝
∠B = 2∝
Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle
So, ∠A+∠B+∠C=180°
∝+2∝+∠C=180°
3∝+∠C=180°
∠C=180°-3∝
Hence the measure of ∠ C is 180°-3∝
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
Answer:
Step-by-step explanation:
length=1 m
base of triangle=10 m
height=5m
volume= 1/2×10×5×1=25 m cube.
slant height l=√(5²+5²)=√50=5√2
slant surface area=2[5√2×1]=10√2
area of front and back=2×1/2(10×5)=50
total surface area=50+10√2≈50+14.14≈64.14 m²
