B) 4.16 · 10^-2
C) 41.6 · 10^-3
D) 0.416 · 10^-1
Answer: B)
Step-by-step explanation:
The given product :
First open parenthesis :
Write decimal values together and power of 10s together.
Using Law of exponent :
The above expression becomes.
In scientific notation, the decimal must be placed after one digit (from left).
Hence, the correct answer is B) .
What is the missing value in the table?
--------------------------------------------------------------
Length Width Height
5 in. 214 in.
--------------------------------------------------------------
A) 79in.
B) 412in.
C) 134in.
D) 1018in.
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The missing value in the dimensions of a rectangular prism having a volume of 50 5/8 cubic inches, length 5 inches, and width 214 inches, is found by dividing the volume by the product of length and width. On calculating, it is found to be approximately 1/7 inches.
The volume of a rectangular prism is found by multiplying the length, width, and height together. Here, you are given the total volume (50 5/8 cubic inches) and two of the dimensions (length is 5 inches and width is 214 inches). Therefore, the missing value is the height. To find this, you should divide the total volume by the length and the width.
So, Height = Volume / (Length x Width) = (50 5/8) / (5 x 214) = 81/ 14, which gives approximately 1/7 inches. Hence, none of the options (A, B, C, D) is correct.
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Answer:
C
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.
Therefore, the value of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.
An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.
Here,
Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.
Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).
Since we know that A = B, we can substitute B for A in the last equation to get:
B² - B² = (2x - 9) - (B²)
Simplifying this equation, we get:
0 = 2x - 9 - B²
Now we can substitute the equation B² = 3x - 5 into the above equation to get:
0 = 2x - 9 - (3x - 5)
Simplifying this equation, we get:
0 = -x - 4
Solving for x, we get:
x = -4
To know more about equation,
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x in simplest radical form with a rational denominator.
The length of sides x in the simplest radical form is 2√2
Let's find x using trigonometric ratios
sin ∅ = opposite / hypotenuse
Therefore,
sin 30° = √2 / x
x sin 30° = √2
x = √2 / sin 30°
x =
x = × 2
x = 2√2
learn more on right angle triangle: brainly.com/question/15948053?referrer=searchResults