Answer:
0.083
Step-by-step explanation:
Numbers of Cube = 6
Faces on coins = 2
Therefore, The total outcomes = 
Now the favourable outcome that he rolls a 4 & flips a head = 1
The probability that he rolls a 4 & flips a head = 1
=> The probability that he rolls a 4 & flips a head = 
Therefore, The probability that he rolls a 4 & flips a head = 0.083
Rate is a ratio of different units ( a quantity times a quantity), such as miles per hour.
Unit rate is a rate with a denominator of 1.
To find unit rate, divide the total cost by the quantity:
0.89 / 16 = 0.0556 per ounce.
Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
Answer:
8 cm^2
Step-by-step explanation:
If the triangle is isosceles the sides are the same
Let the sides be x
We know that we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2+x^2 = (4 sqrt(2))^2
2x^2 =16(2)
2x^2 = 32
Divide by 2
2x^2/ 32/2
x^2 = 16
Taking the square root of each side
sqrt(x^2) = sqrt(16)
x = 4
The area of the triangle is
A =1/2 bh
A = 1/2 (4) (4)
A = 1/2(16)
A = 8
Answer: a. 5^42 and b 9a^6
Step-by-step explanation:
a. (5^3+4)^6
(5^7)^6 = 5^42
