I need to see the angles to answer this question
| 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 .
If the numbers that we are checking divisibility for are between 1-100, there are 3 numbers.
30, 60, and 90 are all divisible by both 3 and 10 because both 3 and 10 are factors of these 3 numbers.
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
Answer: 28x + 15y = 131 and x + y = 7 where x is the number of Dress shirt and y is the number of T-shirt.
Step-by-step explanation:
We will represent the number of Dress shirt he bought by x and we will represent the number of T-shirt he bought by y.
We know that he spent 131 so the cost of each dress shirt plus the cost of each T-shirt has to equal 131. Also, he bought 7 total shirts so x plus y has to equal 7.
28x + 15y = 131
x + y = 7
Note: it says don't solve so I didn't solve but if you want to solve use these equations.