Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft
Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
16 or (4^2)
Step-by-step explanation:
4^3 * 4^-1
When multiplying exponents with the same bass, the exponents themselves can be added.
3 + -1 = 2
4^2 = 16
16 is your answer!
37 and 89 are prime numbers
Answer:
The expressions for each statement are as follows:
a: 2500+(0.10*2500)
b: 40 * 0.85
c: 250 + (0.075*250)
Step-by-step explanation:
<u>Part a:</u>
Given
Salary = $2500
Percentage of raise = 10%
The new salary will be:
<u>Part b:</u>
Given
Total questions = 40
Percentage of correct answers = 85%
The required expression for correct answers is:
<u>Part c:</u>
Given
Price of phone = $250
Percentage of sales tax = 7.5%
The required expression is:
Hence,
The expressions for each statement are as follows:
a: 2500+(0.10*2500)
b: 40 * 0.85
c: 250 + (0.075*250)