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aliina [53]
3 years ago
14

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a

right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A) 52
B) 114
C) 20
D) 25

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

Ik this is late but the answer is A

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If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will
Bas_tet [7]

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

7 0
4 years ago
The table gives the surface areas, in square kilometres, of five seas.
zlopas [31]

The table is missing, so i have attached it.

Also, the correct question is;

The surface area of the East China Sea is k times the surface area of the Baltic Sea.

Work out the value of k.

Give your answer to the nearest whole number

Answer:

k = 3

Step-by-step explanation:

From the attached table,

Surface area of east china = 1.25 × 10^(6) km²

Surface area of Baltic sea = 4.22 × 10^(5) km² = 0.422 × 10^(6) km²

We are told that the surface area of East China Sea is k times that of the surface area of the Baltic Sea.

Thus;

1.25 × 10^(6) = k × 0.422 × 10^(6)

k = 1.25/0.422

k = 2.96

Approximating to whole number gives;

k = 3

4 0
3 years ago
Help please please help
Semenov [28]

Answer:

Step-by-step explanation:

1,8

5,7

2,3

3 0
3 years ago
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The perimeter of a triangle ABC is 54. The triangle has side lengths AB=3x,BC=4x,and AC=5x. Find the length of each side.
Ilya [14]
3x+4x+5x=54
12x=54
x=4.5

Plug in the value of x into all three segments.

AB= 3*4.5= 13.5
BC= 4*4.5= 18
AC= 5*4.5= 22.5
7 0
3 years ago
Figure out length in inches for brainiest and 5 stars.
otez555 [7]
The answer is 1 and I’m sure about that
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