All categories

3 years ago

The scale of a map is 1 inch : 9.5 miles.

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

Answer:

2.526 in
4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

map inches/ground miles = 1/9.5 = x/24

route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

You might be interested in

Part of Rafael's monthly pay stub is shown. Based on these deductions, what was his net pay? Enter your answer rounded to the ne

Helga [31]

Answer:

my answer is $406,301.62 of earnings pre-tax ,deductions ,health plan ,contributions ,taxes fed and fica

sana makatulong comments lang kung mali ah heart and rate lang po

5 0

3 years ago

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

An investment grows by 22% over a 5 year period. What is its effective annual percent growth rate

iren2701 [21]

Since annual means per year, then you need to divide 22 by 5.

5 / 22 = 4.4

Now lets check our work.

4.4 x 5 = 22

3 0

3 years ago

Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s c

vova2212 [387]

Answer:

Alexandra drove 980 miles

Step-by-step explanation:

70×14=980

6 0

2 years ago

Please help my grade are low!!

Bogdan [553]

Answer:

250%of4.4=look it up girl

Step-by-step explanation:

6 0

3 years ago