Answer:
97m
Step-by-step explanation:
From the image below we solve using pythagoras's theorem
x^2 = 72^2 + 65^2
x^2 = 5184 + 4225
x^2 = 9408
x = 97 m.
Further explanation is shown 8n the image.
Answer:
Lines m and n cannot be parallel
Step-by-step explanation:
1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.
2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180
3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel
4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya

Leo




Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:




From Leo's table

By comparison;

i.e.

<em>So: Tonya's had the greater initial trade-in value</em>
Solving (b): The phone with lesser rate
An exponential function is:

Where:

For Tonya

For Leo, we have:


So, the equation becomes:

and 
Solving
, we have:



becomes

Divide both sides by 480

Take square roots

-- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
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