Answer:
X = 6.25 ft.
Step-by-step explanation:
From the figure:
∵ Two angles in the small flag = the corresponding angles in the large flag
∴ Two flags are similar
∴ Their sides are proportional
∴ 
∴ x = 6.25 ft
Answer:
413.126
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 405
Standard deviation (s) = 19
Weight of fruit will be greater than how many grams (x) if picked 17% of the time:
P(Z > x) = 0.17 ;
The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)
Zscore = (x - m) / s
0.954 = (x - 405) / 19
0.954 * 19 = x - 405
18.126 = x - 405
x = 18.126 + 405
x = 423.126
Weight will be greater than 423.126
Answer:
<h2><u>
√
3</u></h2>
Step-by-step explanation:
Answer:
y = -x - 1
Step-by-step explanation:
soo since we already know the slope we can subsitute it to the slope form equation
y = mx + b
y = -x + b
now to find the y intercept we have to subsitute the given point
-3 = -(2) + b
-3 = -2 + b
b = -1
Given the ratio, you know that:
length = 6x
width = 2x
height = 7x
Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3
Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm
Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)
I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224
The surface area is 1,224 cm^2.
