Answer:
Step-by-step explanation:
12) looking at the right angle triangle,
x = hypotenuse
y = adjacent side
Opposite side = 4
To determine x, we would apply
the sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = 4/x
x = 4/sin30 = 4/0.5
x = 8
To determine y, we would apply
the Cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = y/8
y = 8Cos30 = 8 × 0.866
y = 6.93
14) looking at the right angle triangle,
hypotenuse = 22
y = opposite side
x = adjacent side
To determine y, we would apply
the sine trigonometric ratio.
Therefore,
Sin 45 = y/22
y = 22Sin45 = 22 × 0.7071
y = 15.6
x = y = 15.6 because the triangle is an isosceles triangle.
Answer: 1/4
Step-by-step explanation:
y=mx+b
y=slope+y-intercept
mx=1/4
Answer: 4h - 3
<u>Step-by-step explanation:</u>
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
Answer:
No
Step-by-step explanation:
the ratio between AD and DE is 3:1.
The geometric centroid (center of mass) of the polygon vertices of a triangle is the point D which is also the intersection of three triangle's medians.
The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Half-life (t½) is the amount of time required for a quantity to fall to half its value as measured at the beginning of the time period.
(t½) of C-14 is 5730 years, which means that after 5730 years half of the sample would have decayed and half would be left as it is.
After 5730 years ( first half life) 70 /2 = 35 mg decays and 35 g remains left.
After another 5730 years ( two half lives or 11460 years) 35 /2 = 17.5mg decays and 17.5 g remains left .
After another 5730 years ( three half lives or 17190 years) 17.5 /2 = 8.75mg decays and 8.75g remains left.
after three half lives or 17190 years, 8.75 g of C-14 will be left.