Answer:
1.- 140 in²
2.- 2.25 in²
3.- 43.25 in²
4.- 7.5 in²
5. 349.75 in²
Step-by-step explanation:
4 congruent triangles mean 4 triangles same measurement
area 1 triangle=(B*H)/2=(10*7)/2=35in²
for area of the roof are 4 by area 1 triangle=4*35=140 in²
2.- area hole. Hole is a square so area Is side by side
area=1.5*1.5=2.25
3.- area front except the hole. As the side of front is isosceles trapezoide which it’s area is (B1+B2)H/2 where B1=8 in and B2=5 in and H=7 in
so arera with hole=(8+5)*7/2=45.5 in²
Answer: 2(12+6) bc you do the work in parentheses first. Then after you multiply 18 by 2 which is 36. Sorry I suck at explaining stuff
Step-by-step explanation:
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:

Opposite side = BC = ??
Adjacent side = 42 m
Thus:

Plug in the values

Multiply both sides by 42


BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:

Opposite side = BD = ??
Adjacent side = 42 m
Thus:

Plug in the values

Multiply both sides by 42


BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
Answer: 
Step-by-step explanation:
Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.
Proportion of success : 
Sample size taken by customs official : n= 3
Let x be a binomial variable that represents the tablets in the bottle.
Using Binomial probability formula :-

The probability that the traveler will be arrested for illegal possession of narcotics =
![1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}](https://tex.z-dn.net/?f=1-%5E3C_0%28%5Cdfrac%7B2%7D%7B3%7D%29%5E0%281-%5Cdfrac%7B2%7D%7B3%7D%29%5E3%5C%5C%5C%5C%3D1-%281%29%281%29%28%5Cdfrac%7B1%7D%7B3%7D%29%5E3%5C%20%5B%5Cbecuase%20%5EnC_0%3D1%5D%5C%5C%5C%5C%3D1-%5Cdfrac%7B1%7D%7B27%7D%3D%5Cdfrac%7B26%7D%7B27%7D)
Hence, the probability that the traveler will be arrested for illegal possession of narcotics = 