The volume of any prism is equal to its base times its height. V = Bh
A figure such as a pyramid or cone has 1/3 of the volume of the prism which contains it. V = Bh/3
In the case of our pyramid here...
B = 15√3 cm²
h = 4 cm
Plug these into our formula...
V = Bh/3 = (15√3)(4)/3 = (60√3)/3 = 20√3 cm³
Answer: 11/243
Step-by-step explanation:
Each question has 3 options: 2 incorrect and 1 correct
Probability P(correct guessing) = 1/3
P(wrong guessing) = 2/3
Probability P(4 answers correct) = 5C4 × (1/3)^4 ×(2/3)^1
Probability P(5 answers guessed correctly) =5C5 ×( 1/3)5
Therefore Probability P(4 or more answers correct) = P(4) + P(5) = (10/3^5) +( 1/3^5)
P(4 or more correct answers) = 11/243
Answer:
(a-1) *(a^2 +a-1) (a+2)
Step-by-step explanation:
a^4+2a^3-a-2
Lets factor by grouping
a^4-a + 2a^3-2
Factor out an a from the first group and a 2 from the second group
a(a^3 -1) +2(a^3-1)
Factor out (a^3-1)
(a^3-1)(a+2)
We need to recognize that a^3-1 is the difference of cubes
(x^3-y^3) = (x-y) (x^2+xy+y^2)
Let x=a and y=1
(a-1) *(a^2 +a-1) (a+2)
Answer: b = 40
sin B =
cos B =
tg B =
sec B =
csc B =
cot B =
Step-by-step explanation: If the right angle is at C, then the hypothenuse is side c = 41.
Using Pythagorean Theorem:
hypotenuse² = side² + side²
41² = 9² + b²
b =
b = 40
The side b length is <u>40</u>,
The trigonometric functions of a right triangle are:
1) Sine =
sin (B) =
Sin(B) =
2) Cosine =
cos (B) =
cos (B) =
3) Tangent =
tg (B) =
tg (B) =
4) Sec =
sec(B) =
sec(B) =
5) Cosecant =
csc(B) =
csc(B) =
6) Cotangent =
cot(B) =
cot(B) =
T= 356/7 = 50 per bus with a remainder of6 ( who go in cars )