Answer:
The area of rectangle is 12cm² and the perimeter is 14cm.
Step-by-step explanation:
First, you have to find the length of the rectangle using Pythagoras Theorem :
a² + b² = c²
a² + 3² = 5²
a² = 5² - 3²
a² = 16
a = √16
a = 4 cm
Next, you have to find the perimeter and area of rectangle :
Perimeter = 2(length + breadth)
P = 2(4 + 3)
P = 2(7)
P = 14 cm
Area = length×breadth
A = 4×3
A = 12 cm²
Answer: white = $13, double = $14
<u>Step-by-step explanation:</u>
Let white chocolate chip dough = x
Let double chocolate chip dough = y
Mary: 3x + 2y = 67
Darryl: <u> -(3x + 4y = 95)</u>
-2y = -28
<u> ÷-2 </u> <u>÷-2 </u>
y = 14
3x + 2y = 67
3x + 2(14) = 67
3x + 28 = 67
<u> -28 </u> <u>-28</u>
3x = 39
<u>÷3 </u> <u>÷3 </u>
x = 13
The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.
<h3>What is mathematical expansion?</h3>
An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.
14(p + 6) − 10(2q + 5)
If we open the bracket, we have
14p − 20q + 34
Therefore option D is correct.
Learn more about mathematical expansion from
brainly.com/question/13602562
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The standard equation for a circle with center at (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.
The formula for the circumference of a circle is C = 2pi*r. In this particular problem, we need to determine the radius of the circle. That radius is: r = C/[2pi]. Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.
Putting to use the given info, we have:
(x+14)^2 + (y-5)^2 = 11^2
Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
