Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
= 12² + 14²
= 144 + 196
= 340
x = √340
x = 18.4 ft
I got 1/81
hope this helps.
Step-by-step explanation:
∫ dt / (cos²(t) ⁹√(1 + tan(t)))
If u = 1 + tan(t), then du = sec²(t) dt.
∫ du / ⁹√u
∫ u^(-1/9) du
9/8 u^(8/9) + C
9/8 (1 + tan(t))^(8/9) + C
Answer:
x = a(c - b)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x/a + b = c
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>b</em> on both sides: x/a = c - b
- Multiply <em>a</em> on both sides: x = a(c - b)
Answer:
m<R = m<T = 80.5 deg
Step-by-step explanation:
3)
Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.
m<WXZ = 8x - 19 = 45
8x - 19 = 45
8x = 64
x = 8
4)
Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.
The sum of the measures of the interior angles of a convex, n-sided polygon is
180(n 2).
A kite is a quadrilateral, so n = 4.
180(4 - 2) = 180(2) = 360
The sum of the measures of the interior angles of a kite is 360 deg.
m<Q + m<R + m<S + m<T = 360
75 + m<R + 124 + m<T = 360
m<R + m<T + 199 = 360
m<R + m<T = 161
m<R = m<T, so we substitute m<T with m<R.
m<R + m<R = 161
2m<R = 161
m<R = 80.5
m<R = m<T = 80.5 deg
