All categories

3 years ago

The state of Vermont can be modeled by a quadrilateral like the one shown. Which is the perimeter of the quadrilateral?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

4 0

Answer:

440 miles

Step-by-step explanation:

Perimeter of a quadrilateral, P :

P = a + b + c + d

Which is the sum of all the sides ;

From the diagram attached ;

Perimeter of the quadrilateral is :

(170 + 160 + 80 + 30) = 440 miles

You might be interested in

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

4 0

3 years ago

A construction company plans to invest in a building project. There is a 25% chance that the company will lose $40,000, a 35% ch

strojnjashka [21]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

<span>C) The expected value is - $2,000, so the company should not proceed with the project.</span>

4 0

3 years ago

SOLVE PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Aleks04 [339]

Answer:

-7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What’s the answer to this?

kaheart [24]

Answer:

100

Step-by-step explanation:

5 0

3 years ago

Addition of unlike fractions 5/3 + 7/4

Maru [420]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}}$

Step-by-step explanation:

$\star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}}$

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

$\dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}}$

$\dashrightarrow{ \sf{ \frac{20 + 21}{12}}}$

Add the numbers : 20 and 21

$\dashrightarrow{ \sf{ \frac{41}{12}}}$

Convert the improper fraction into mixed fraction

$\dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}$

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

4 0

3 years ago

Read 2 more answers