Answer:
x = 18
Step-by-step explanation:
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°. So, using this property,
2x+1+3x-1+90 = 180
2x+3x = 180-90
5x = 90
x = 18
So, the value of x is equal to 18.
Answer:
p = 8
Step-by-step explanation:
Let one root of the eqn. be alpha . Other root is 1/alpha .
We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.
Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )
Area of the rectangular mat = 12 x 4 = 48 in²
Area of the 3 circles = 3( πr²) = 3(3.14 x 2²) = 37.68 in²
P(landing in a circle) = 37.68/48 = 157/200 = 0.79 (nearest hundredth)
Answer: The probability of landing in one of the circles is 0.79.
Answer:
210 yd³
Step-by-step explanation:
Volume of a triangular prism
= the area of a triangular base × the height
The area of the base
= (10×7)÷2
= 35 yd²
The volume of the prism
= 35 × 6
= <u>210 yd³</u>
