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Nataly_w [17]
3 years ago
10

How do trapezoid ABCD and A'B'C'D compare

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
Trapezoid ABCD was the original figure for trapezoid A'B'C'D. They are similar because they are the same shape, Trapezoid A'B'C'D is slightly bigger or smaller because it was dilated from trapezoid ABCD. 
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F(x) = x°-9x
laila [671]
F(x)=x^3-9x
and
g(x)=x^2-2x-3

so you just need to divide f(x) by g(x)

Therefore:

f(x)/g(x) = (x^3-9x) / (x^2-2x-3)

and of course you need to factor these two function to see if some factor would cancel another

x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)





8 0
3 years ago
In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A
AURORKA [14]

Answer:

A = \dfrac{C^2}{4\pi}

Step-by-step explanation:

Given that

Area of a circle A=\pi r^2

Circumference of the circle C = 2 \pi r

Let us re-write the equation of area of circle:

A=\pi r^2

A = \pi \times r \times r

Multiplying and dividing with 2:

A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

A = \dfrac{C^2}{4\pi}

4 0
3 years ago
What is the value of d?<br><br><br>Round your answer to the nearest tenth.
Sergeeva-Olga [200]

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d²  = 21² + 27² - 2(21)(27) cos (25)

d²  = 441 + 729 - 1027.75

d²  = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

5 0
3 years ago
17 is what percent of 20
Natalka [10]
17 out of 20 is 85 percent.
7 0
3 years ago
.) Find the sum of the first n terms of the geometric sequence for the values of a1and r.
Vinvika [58]
Sn = a(r^n - 1)/(r - 1)
S4 = 228(4.8^4 - 1)/(4.8 - 1) = 228(530.8416 - 1)/3.8 = 228(529.8416)/3.8 = 120,803.8848 / 3.8 = 31,790.496
3 0
3 years ago
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