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3 years ago

What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67 * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

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Pls help I’m in class and I need it done by today

Usimov [2.4K]

Answer:

x=6/11

x≈0.545

Step-by-step explanation:

They are corresponding angles, so their measurements are congruent to each other. Therefore, you can set them equal to each other and solve for x:

19x+6=30x

6=11x

6/11=x

x=6/11

x≈0.545

8 0

2 years ago

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

A bike rental company charges $10 plus a charge per for the distance ridden. the total cost, t, can be represented by the equati

goblinko [34]

Answer:

$c=\frac{t-10}{m}$

Step-by-step explanation:

$t=10+cm$

Subtract 10 from both sides:

$t-10=cm$

Divide both sides by $m$ :

$\frac{t-10}{m}=c$

Placing $c$ on the left:

$c=\frac{t-10}{m}$

For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:

$c=\frac{27.50-10}{250}$

$c=0.07$

4 0

1 year ago

Which of the following is a geometric sequence?

Savatey [412]

You need to find which one is in order

6 0

3 years ago

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Axis of symmetry for f(x) = -2x2 + 20x -42

Ksenya-84 [330]

For the function $f(x)=2x^2 +20x-42$

We can use the formula for the axis of symetry, which is $x= \frac{-b}{2a}$

With the values substituted, we get...

$\frac{-20}{2(-2)} =5$

Therefore the axis of symmetry is $x=5$

8 0

3 years ago

Read 2 more answers