Answer:
Step-by-step explanation:
From the question we are told that
Edges of 8 feet, 4 feet, and 1/2 foot
Generally the volume V_p of the right rectangular prism is mathematically represented as


Generally volume of the cube V_c is mathematically given as


Therefore total number of cubes is given as



Area of the sign ( trapezoid ) :
A = ( a + b ) / 2 · h
where: a = 8, b = 5, h = 5
A = ( 8 + 6 ) / 2 · 5 =
= 14/2 · 5 = 7 · 5 = 35 ft²
Answer:
B ) 35 square feet
1/4 is the shortest all you have to do is multiply 2/5 by 4, 3/10 by 2, and 1/4 by 5
For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.
<h3>What is probability?</h3>
The probability is occurrence of a certain event out of the total number f events that can happen.
Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.
If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.
We know, the expected profit is,
= 0.5(30427) - 0.5(12656).
= 15213.5 - 6328.
= 8885.5 dollars.
learn more about probability here :
brainly.com/question/11234923
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Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!