Answer:
16 ft
Step-by-step explanation:
We start by converting 1yd to ft,
1yd = 3ft
So in the smaller triangle, we have 3ft, 4.5ft. Using Sine, Cos, and Tan rule. We know that
TanΦ = opposite / adjacent
TanΦ = 3ft / 4.5ft
TanΦ = 0.667
Φ = Tan^-1 0.6
Φ = 33.69
This means that the angle of elevation is 33.69°
Using this angle, and the same tan rule again, we gave
Tan 33.69 = opp/24
0.667 = opp/24
opp = 24 * 0.667
opp = 16 ft
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
1023456. As it is a 7 digit number, 0 cant be put first. Hence the digit 1 goes first. and then come 0. After that, as there is no repetition allowed, we skip the number 1 and place 2. Then, we go chronologically until we have a total of 7 digits <span />
Answer:
9000. the value of 9 in 920 is 900. and ten times anything is basically just adding a 0. so ten times 900 is 9000.
Step-by-step explanation:
Please mark brainliest and have a great day!
You must first simplify the radicals by taking out any perfect squares.
√8 + 3√2 + √32 =
√4 * √2 + 3√2 + √16 * √2 =
2√2 + 3√2 + 4√2 =
9√2
