The phrase '10 times as many as 1 ten' simply means making 10 groups that are exactly the size of 1 ten (which is your original amount). Hence, '10 times as many as 1 ten' is equal to ten tens.
In a mathematical perspective, when you have 1 ten and you want to find out what 10 times as many is, you simply multiply your original amount by 10. In this case, if you multiply 1 ten by 10, the product is 100. However, when you look at it in terms of tens, your original amount is simply 1 group of ten, and if you create 10 groups exactly that size, you end up with 10 tens. So 10 times as many as 1 ten is 10 tens.
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Answer:
To find the third directional cosine, we need to use the property that the sum of the squares of the directional cosines is equal to 1.
Let's denote the three directional cosines as cosα, cosβ, and cosγ. Given that two directional cosines are equal to 1/2 and 1/3, we can set up the following equations:
cosα = 1/2
cosβ = 1/3
To find cosγ, we can rearrange the equation for the sum of the squares of the directional cosines:
cos²α + cos²β + cos²γ = 1
Substituting the given values, we have:
(1/2)² + (1/3)² + cos²γ = 1
Simplifying the equation, we get:
1/4 + 1/9 + cos²γ = 1
To solve for cos²γ, we can combine the fractions:
(9/36) + (4/36) + cos²γ = 1
(13/36) + cos²γ = 1
Now, we can solve for cos²γ by subtracting 13/36 from both sides:
cos²γ = 1 - 13/36
cos²γ = 23/36
Taking the square root of both sides, we find:
cosγ = √(23/36)
Since we are looking for the third directional cosine, there are two possible solutions, one positive and one negative. So, the third directional cosine can be either √(23/36) or -√(23/36).
In conclusion, the third directional cosine, cosγ, is either √(23/36) or -√(23/36).
9-33.4 +6
9-33.4 +6 =
Answer:
Lesson 1 Unit 2: Roots and Radical Expressions
1 = a (no real root)
2 = c (-0.05)
3 = c (6lg^3l)
4 = d (5x^7y^8)
5 = a (3x^2/5y)
5/5 100%
Step-by-step explanation:
The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.
Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
588 and 6
Then the division between the numbers 588 and 6 will be given by putting a division sign between them. Then we have
⇒ 588 ÷ 6
⇒ 588/6
⇒ 98
The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.
More about the Algebra link is given below.
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