| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
(2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
16 it's just double the the denominator and the top number
Answer:
2x+3=-13
x=5
Step-by-step explanation:
it says 2 times a number which would be the 2x, and it says the sum of that and 3 which would be 2x+3 and it says is 13. 2x+3=13
now solving it
2x+3=13
subtract 3 from both sides
2x=10
and divide 2 from both sides
x=5
Answer:
V = 512 cm³
Step-by-step explanation:
Use the formula V = s³ to find the volume of the cube
V = 8³
V = 512 cm³
In the case above, the option that one need to include in your answer is to Find a common denominator.
<h3>What is Fraction in lowest terms?</h3>
When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.
Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.
Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.
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