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USPshnik [31]
3 years ago
15

The length of a rectangle is 10m greater than the width. The area is 24m^2

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

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NLM-CAB would be the right answer
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jessie has a peice of wood that is 8 feet long he needs to cut pieces that are 7/8 of a foot long how many pieces will he be abl
attashe74 [19]

Answer: 9 pieces

Explanation: Divide 8 by 7/8 to find the number of cut pieces and you'll get 9.





3 0
3 years ago
What sets of numbers do -7/10 belong to
Ket [755]
Between 0 and 1 because it goes 0, 1/10, 2/10,  and so on and so forth till 1



8 0
3 years ago
A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr
Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N      Mass of the man,(m)= \frac{W}{g} = \frac{748}{9.8} = 76.32 kg

Radius of the pond (r) = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is V_m .

Now using law of conservation of momentum we can find the V_m value.

m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)

Considering V_m_(_f_)=V_m

And initial velocity of both the man and book i.e V_b_(_i_)=0,\ V_m_(i_)=0

So,

⇒ 0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m

⇒ Plugging the values.

⇒ V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}

⇒ V_m=-\frac{1.2\times 4}{76.32}

⇒ V_m=-0.062 ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, V_m = 0.062

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know velocity(v)\times time(t) = distance(d)

Let the time taken be t and v\times t = d and d=r then, V_m\times t=r

Then

⇒ t=\frac{radius\ (r)}{V_m}

⇒ Plugging the values.

⇒ t=\frac{4}{0.062}

⇒ t =64 sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0
3 years ago
Rose has 5 times as many stickers as John. They have 300 stickers in all. How many more stickers does Rose have than John? Show
kirill115 [55]

5x+x=300

6x=300

x=50

5(50)=250 (Rose)

x=50(John)

Rose has 250 stickers and John has 50, therefore Rose has 200 more stickers than John.

6 0
3 years ago
Read 2 more answers
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