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3 years ago

Multiply. Write your answer as a fraction in simplest form. 5/2*3/10

1 answer:

7 0

(5/2)(3/10)=(5*3)/(2*10)=15/20=3/4

Or

(5/2)(3/10)= (5)(1/2)(3)(1/10)=(5)(3)(1/2)(1/10) =(5*3)/(2*10)=15/20=3/4

Or

(5/2)(3/10)=(5)(0.5)(3)(0.1)=(2.5)(3)(0.1)=(7.5)(0.1)=.75=3/4

All of these work, but the first one is simplest

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$GF=72$

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, $CD=DE=EF=FA$ .

For triangle $\triangle CGF$ was base $GF$ , leg $CF$ contains three of these marked segments. In triangle $\triangle CHE$ with base $HE$ , leg $CE$ has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be $3/2$ the length of EH. Since the length of EH is given as 48, we have:

$GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}$

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2 years ago

Use the Distributive Property to find (z−5)(z+3).

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Consider, $(z-5)(z+3)$ . Let's say $a = z-5$ then the problem reduces to $a(z+3)=za+3a$ . (Do you understand this step?)

So then replacing a again with our definition we get, $z(z-5)+3(z-5)=z^2-5z+3z-15=z^2-2z-15$ .

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3 years ago

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Step-by-step explanation:

y=75+50(36 hours)=1875

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