Yup! We're all pretty good here. :)
Answer: a = -15
Step-by-step explanation:
3a + b = 9
b=54
3a + 54 = 9
3a = 9-54
3a= -45
<h3>

</h3>
- x + = -
<h2>a= -15</h2>
18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.
The area is just width times length, so √3 • √3 = 3cm².
19. The perimeter is 2√5 + 2(9 - √5).
This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.
The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².
20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so
π • 2/π = 2. The circumference of the circle is 2 inches.
The area of the circle is calculated with the equation πr², so
π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².
Answer:



Step-by-step explanation:
Given
Similar Triangles: ABC and DEF



Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.

Where

Assume n = 2.
So, we have:







Assume 
So, we have:







So, the possible sides are:



Answer:
200 sets of 10 can be ordered to complete the order of 2,000 cakes.
Step-by-step explanation:
Total numbers of cupcakes to be ordered = 2,000
The number of cupcakes in 1 set = 10
So, 
= 
or, Number of cupcake sets = 200
Hence, 200 sets of 10 can be ordered.