The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.
Hope this helped ;)
Answer:
4.5 % alloy
Step-by-step explanation:
Let x = amt of 30% alloy
The resulting total is to be 25 oz, therefore:
(25-x) = amt of 5% alloy:
A typical mixture equation:
.30x + .05(25-x) = .20(25)
.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25
.25x = 3.75
x = 3.75%2F.25
x = 15 oz of 30% alloy required
then
25-15 = 10 oz of 5% alloy:
Check solution
.30(15) + .05(10) = .20(25)
4.5 + .5 = 5
Answer:
The expression that matches the situation is 90.00 - 3x ⇒ 1st answer
Step-by-step explanation:
Let us solve the question
∵ You went to the mall with $90.00
→ That means the total money with you = $90.00
∴ The total money = 90.00 dollars
∵ You bought three shirts that cost x dollars each
∴ The cost of a shirt = $x
∴ The number of shirts = 3
→ Find the total cost of the three shirts
∴ The cost of the shirts = 3 × x
∴ The cost of the shirts = 3x dollars
∵ The money left = the total money - the cost of the shirts
→ Substitute the value of total money and the cost of the shirts
∴ The amount of money left = 90.00 - 3x
∴ You have left with 90.00 - 3x dollars
∴ The expression matches the situation is 90.00 - 3x dollars
Step-by-step explanation:
1. Ampltiude is 1
The period is
is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8
Answer: The answer is Yes.
Step-by-step explanation: Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.
From second law of motion, we have
Weight = mass × acceleration due to gravity.
That is, W = m × 9.8 m/sec².
The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.
Thus, if Michael' mass is 8 kg, then his weight will be
W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.
Thus, his estimation is perfectly OK.
