Answer:
Step-by-step explanation:
in tri ADC and tri BDC
∠ADC =∠BDC = 90
DC is common
AD = BD (given)
triangle ADC ≅ tri BDC by SAS congruency
hence AC = BC by CPCT ( congruent parts of congruent triangles)
hence, BC = 13
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
3(-2x+4) =-6x-12 Equation/Question
Step 2
3(-2x+4) =-6x-12 Remove parenthesis
-6x+12=-6x-12
Step 3
-6x+12=-6x-12 Add 6x to sides
12=-12
Step 4
12=-12 Subtract 12 from sides
-24=0
Answer
No solutions
Hope this helps
Answer:
What is asked? Total amount left to her.
what are the given? Php 32,097.50 , Php 23,900.50 and Php 60,555.75
what operation should be used to solve the problem? Addition and subtraction
what is the number sentence? Php 23, 900.50+Php32, 097.50=n , Php 60, 555.75 - N = M
what is the complete answer? Php 14,557.75 is the total amount left to her.
Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
Can't understand your langrage
