9514 1404 393
Answer:
643.72 m²
Step-by-step explanation:
The area is the sum of the areas of the parts. The figure can be divided into a triangle and a semicircle.
The formula for the area of the triangle is ...
A = 1/2bh
For the given base of 28 m and height of 24 m, the area is ...
A = 1/2(28 m)(24 m) = 336 m²
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The area of a semicircle is given by the formula ...
A = (π/8)d² . . . . for diameter d
The given diameter is 28 m, so the area is about ...
A = (3.14/8)(28 m)² = 307.72 m²
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Then the total area of the figure is ...
total area = triangle area + semicircle area
total area = 336 m² +307.72 m² = 643.72 m²
Step-by-step answer:
The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.
Here, we have (horizontal) distance of building to the tower is 400'.
We see two right triangles, each with a leg of 400' (horizontal).
The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.
Using the definition of tangent, we have
h1= 400tan24=178.1
h2=400tan20=145.6
The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet
Answer: 4
Step-by-step explanation:
P(x)= x3-5x2+cx+4
X-2 is a factor of p(x)
Let p(x)= 0
X-2=0
X=2
Substitute for x=2 in p(x)
0=2^3-5(2)^2+2c+4
0=8-5(4)+2c+4
0=8-20+2c+4
Collect like terms
-8+20-4=2c
8=2c
C=8/2
C=4
The value of C is 4
Answer: 0.923
Step-by-step explanation:
Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.
Pew Research Center finds that
P(A)=0.52 P(b)=0.26, and P(A or B)=0.54.
To find : P(A|B)
Since ,
i.e.
Now, using conditional probability formula ,
Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923
Answer:
2/7<5/14
Step-by-step explanation:
2/7=0.28
5/14= 0.35
0.28<0.35