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Goshia [24]
2 years ago
13

A large national park has an area of 91,417 acres. What is its area in hectares

Mathematics
1 answer:
aliya0001 [1]2 years ago
3 0

Answer:

36995.1474

Step-by-step explanation:

multiply the area value by 2.471

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a family went out to dinner and the bill was $113. If they want to leave a 19% tip, how much tip should they leave?
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In this problem there are several vital information's that have been given. Based on them it is possible to find the required answer.It is already mentioned that the amount of bill for the family is $113. Percentage of tips to be given is 19%
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7 0
3 years ago
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3 0
3 years ago
Three collinear points on the coordinate plane are r(x,y), s(x+8h, y+8k), and p (x+6h, y+6k)
Karo-lina-s [1.5K]

Answer:

A.\frac{RP}{SP}=3

B.\frac{RP}{RS}=\frac{3}{4}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Three collinear points on the coordinate plane are R(x, y), S(x+8h, y+8k), and P(x+6h, y+6k).

<em>Part A: Determine the value of RP/SP</em>

<em>Part B: Determine the value of RP/RS</em>

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

R(x,y),S(x+8h,y+8k) and P(x+6h,y+6k)

Part A.We have to find the value of \frac{RP}{SP}

step 1

Find the distance RP

R(x,y),P(x+6h,y+6k)

substitute the values in the formula

RP=\sqrt{(x+6h-x)^2+(y+6k-y)^2}

RP=\sqrt{36h^2+36 k^2}

RP=6\sqrt{h^2+k^2}

step 2

Find the distance SP

S(x+8h,y+8k),P(x+6h,y+6k)

substitute the values in the formula

SP=\sqrt{(x+6h-x-8h)^2+(y+6k-y-8k)^2}

SP=\sqrt{4h^2+4k^2}

SP=\sqrt{4(h^2+k^2)}

SP=2\sqrt{h^2+k^2}

step 3

<em>Find the ratio  RP/SP</em>

\frac{RP}{SP}=\frac{6\sqrt{h^2+k^2}}{2\sqrt{h^2+k^2}}

\frac{RP}{SP}=3

Part B. We have to determine the value of \frac{RP}{RS}

step 1

Find the distance RS

R(x,y),S(x+8h,y+8k)

RS=\sqrt{(x+8h-x)^2+(y+8k-y)^2}

RS=\sqrt{64h^2+64k^2}

RS=\sqrt{64(h^2+k^2)}

RS=8\sqrt{h^2+k^2}

step 2

<em>Find the ratio RP/RS</em>

\frac{RP}{RS}=\frac{6\sqrt{h^2+k^2}}{8\sqrt{h^2+k^2}}

\frac{RP}{RS}=\frac{3}{4}

5 0
3 years ago
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