Answer:
Option (a) is the correct choice.
The result of the given function 
at x = 3 is -28
Detailed explanation:
Provided: Function
We need to calculate the function's value at x = 3
Evaluate the specified function
As we are required to find the function's value at x = 3
Substitute x = 3 into the function f(x)
Upon simplification, we get
Thus, the value of the given function at x = 3 is -28
Important details about isosceles triangle ABC:
- The median CD, which is drawn to the base AB, also acts as an altitude to that base in the isosceles triangle (CD⊥AB). This indicates that triangles ACD and BCD are congruent right triangles, each with hypotenuses AC and BC.
- In isosceles triangle ABC, the sides AB and BC are equal, meaning AC=BC.
- The base angles at AB are equal, m∠A=m∠B=30°.
1. Consider the right triangle ACD. The angle adjacent to side AD is 30°, which dictates that the hypotenuse AC is double the length of the opposite side CD relating to angle A.
AC=2CD.
2. Now, for right triangle BCD, the angle next to side BD is also 30°, so hypotenuse BC is twice the opposite leg CD linked to angle B.
BC=2CD.
3. To calculate the perimeters of triangles ACD, BCD, and ABC:
4. If the total of the perimeters of triangles ACD and BCD is 20 cm greater than the perimeter of triangle ABC, then
5. Given that AC=BC=2CD, the lengths of legs AC and BC of the isosceles triangles are 20 cm.
Answer: 20 cm.
Answer:
new rent = $1,607.35
Explanation:
Let's consider the original rent as x
Given that the increase in rent is 3.7%.
Thus:
new rent = x + 3.7% of x
new rent = x + 0.037 x
With x = 1550, we find:
new rent = 1550 + 0.037(1550)
new rent = 1550 + 57.35
new rent = $1,607.35
I hope this clarifies!:)
Response:
Php 973.00
Detailed explanation:
Aling Luz purchased 3/8 yards of linen priced at Php 72.00 per yard. She paid Php 1000.00 to the cashier. What will be her change?
Amount of yards acquired = 3/8
Cost per yard = Php 72.00
Total cost of the purchased yards = Amount of yards acquired × Cost per yard
= 3/8 × Php 72.00
= Php 27.00
She provided Php 1000.00 to the cashier.
What amount will she receive back?
= Amount given - total cost
= Php 1000.00 - Php 27.00
= Php 973.00
