Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
Answer:
2 minutes
Step-by-step explanation:
You can make an equation to model the question.
y=60 initial starting value,
y=(750-720)x, plug in 60 for y,
60=30x, x = 2 minutes
Answer:
2nd option
Step-by-step explanation:
using the converse of Pyhagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 100 , then 100² = 10000
60² + 80² = 3600 + 6400 = 10000
then
60² + 80² = 100²
thus the triangle is right
Answer:
The answer would be 3.6
Is it OK if I don't explain it?
Answer:
Step-by-step explanation:
Given:
27 + 2/3 ÷ 3 + 9/10
In division, compatible numbers are numbers that can be divided mentally.
27 + 2/3 ÷ 3 + 9/10
27 + 0.67 ÷ 3 + 0.9
27.67 ÷ 3.9
= 7.0948717948717
Approximately
= 7
But, alternatively
27.67 ÷ 3.9
27.67 is closer to 28
3.9 is closer to 4
Therefore,
28 ÷ 4
= 7
The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7
