Answer:$1500was invested in the account that gained 15% and $15500 was invested in the account that lost 5%.
Answer for the first one - it's complicated, but that maths is correct
I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.
since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.
Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
For ΔABD, it is given that side AB is congruent to side CB, that ∠ABD is congruent to ∠CBD. In order to invoke the SAS Postulate, the remaining side(s) fo the triangles must be shown to be congruent. Those sides are BD and BD.
The appropriate choice is ...
... b. BD ≅ BD
Answer:
The load weight is 2.29 N
Step-by-step explanation:
We note that at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;
∑M =0
∑F = 0
The parameters given are;
The distance of the load from the hinge = 35 cm
The distance of the load from the spring balance = 15 cm
The applied force on the spring balance = 4 N↑
The direction of the applied force on the spring balance = Upwards
Let the weight of the load = W↓
The direction of the weight of the load = Downwards
We use downward negative and upward positive coefficients for the forces
We take moment about the hinge as follows;
Sum of moments equals zero gives;
4 × (35 - 15) - W × 35 = 0
∴ 4 × (35 - 15) = W × 35
4 × 20 = W × 35
W = 4 × 20/35 = 2.29 N
The weight of the load = 2.29 N.
