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trapecia [35]
3 years ago
10

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s

position? Write your answer as a mixed number.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0
Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12

32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative

the change is -11 and 5/12 inches
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Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         = \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4

m  = 4

y - y₁ = m (x - x₁)

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y + 2 = 4(x + 1)

y + 2 = 4x + 4

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2 years ago
2^x-1 +2 ^ 2+ 2 ^ x =3 ^ 2 : 1/ 2^ 5
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2−1+22+2=32125

Step-by-step explanation:

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4 0
2 years ago
the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang
yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

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The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

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Length = (x+2) cm

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Perimeter=2((x+2)+x)

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Perimeter=2(2x)+2(2)

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6 0
2 years ago
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra
ivanzaharov [21]
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
n^{th}=a r^{n-1}, where a is the first term in the sequence and r is the ratio

So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
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6 0
3 years ago
On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).
Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6)  B(6,5)  C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

Solution:

By using distance formula  we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

So AB|| DC i.e AB=DC

And AC|| BD i.e BD=AC

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Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .

(Refer the attachment)

Now

Distance of AD=Sqrt[(2-3)^2+(2-6)^2]

=Sqrt[1+16]

=4.123

Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]

=Sqrt[9+1]

=3.16

ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)

Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

here a=4.123 units and b=3.16 units and  Ф=90

Area of parallelogram=3.167*4.123*sin90

=3.167*4.123

=13.05 sq. units

3 0
3 years ago
Read 2 more answers
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