Solution needs to be expressed using log notation 6*10^t=360

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

Step-by-step explanation:

so 6 times 10 equals 60, 60 times 6 is 360 so there you go

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

Read 2 more answers

The volume of each cube is given. Estimate the side length of the cube to the nearest integer. Use the formula V=s(cubed). The v

sdas [7]

You get 8 if you round up from 8.041451517
and 8 cubed is 512

but if you round from 8.041451517 to 8.04, and you cube it, it equals 519.718464

and if you round that up it would equal 520

or 519.71

so it depends on how you do it

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3 years ago

The electronics company makes two types of switches. Type a takes 4 minutes to make and requires $3 worth of materials.Type b ta

Shalnov [3]

Let

x ------> number of switch type A

y -----> number of switch type B

Remember that

1 hour=60 min

32 hours=32*60=1,920 minutes

4x+5y=1,920 -------> equation 1

3x+5y=1,740 ------> equation 2