All categories

4 years ago

Using words, explain all steps of dimensional analysis when converting 6.7 hectometers to meters.

Mathematics

1 answer:

inessss [21]4 years ago

5 0

6.7 hectometers = 670 meters.

Solution:

Given 6.7 hectometers.

To convert hectometers into meters:

Conversion unit:

1 hectometer = 100 meters

We have 6.7 hectometers.

So multiply 6.7 by 100, we get

6.7 hectometers = 6.7 × 100 meters

= 670 meters

Hence 6.7 hectometers = 670 meters.

You might be interested in

Please show all work if you can, thank you and have a wonderful day

TEA [102]

1) 180°. All the interior angles in a triangle ALWAYS add to 180°.

2) x = 60°. As stated in 1), all angles in a traingle add to 180° so knowing this, x = 180 - 70 - 50 = 60°.

3) <A = 90, <B = 60, <C = 30. Knowing that all angles in a traingle add to 180, we can make an equation. 6x + 4x + 2x = 180 or 12x = 180. This means x is 15°. Now we just need to multiply it. 6x = 90, 4x = 60 and 2x = 30.

8 0

3 years ago

Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?

nataly862011 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

$A=P\cdot \left(1+\frac{r}{n}\right)^{nt}$

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$2000

r=4.5%

n=4

t = 5 years

Calculating compounded quarterly 

After plugging in the values

$A=2000\left(1+\frac{4.5\%\:}{4}\right)^{4\cdot \:5}$

$A=2000\left(1+\frac{0.045}{4}\right)^{4\cdot \:5}$

$A=2000\cdot \frac{4.045^{20}}{4^{20}}$

$A=\frac{125\cdot \:4.045^{20}}{2^{36}}$

$A = 2,501.50$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.

Calculating compounded semi-annually

n = 2

$A=2000\left(1+\frac{4.5\%\:}{2}\right)^{2\cdot \:5}$

$A=2000\left(1+\frac{0.045}{2}\right)^{2\cdot \:5}$

$A=2000\cdot \frac{2.045^{10}}{2^{10}}$

$A = 2,498.41$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41 after five years.

5 0

3 years ago

Is it 4/7? i need this for tomorrow

kupik [55]

You are correct. the answer is 4/7 and there are 12 girls and 16 boys.

Hope this helps.

3 0

4 years ago

I need helpppppp asappppp

andrew-mc [135]

Answer:

A. 72cm

Step-by-step explanation:

Figure a is a convex pentagon, a convex pentagon is a pentagon that does not have an internal angle greater than

${180}^{0}$

An easier thing to remember is that it does not have an angle pointing inwards like b, none of its angles/edges point toward the shape/inside

3 0

3 years ago

The domain of g(x) =4x-12 is (1,3,5,7) what is the range?

lutik1710 [3]

You plug in the numbers where the variable is so 4(1)-12
4(3)-12
4(5)-12
4(7)-12
if there is a number next to () then you multiply. so 4×1=4-12=8

6 0

3 years ago