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2 years ago

Yasmin swims at a constant rate of 2 km/h for 2.5 h. How far does Yasmin swim? 4.5 km 5 km 6 km 6.5 km

Mathematics

1 answer:

Neporo4naja [7]2 years ago

3 0

She swims for 2.5 hours at a rate of 2 km/hr
Multiply 2.5 * 2 = 5 km

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

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3 years ago

What was done to the quadratic parent function F(x) = x2 to get the

zubka84 [21]

Answer:

Option C.

Step-by-step explanation:

If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.

In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.

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2 years ago

Dalvin answered 51 questions correctly on his multiple choice science final and earned a grade of 85%. How many total questions

Leona [35]

Answer:

Step-by-step explanation:

Divide the number of questions answered correctly by his percentage

51 / 85 = 0.6

Now multiply that answer by 100 to see how many questions are on the quiz

0.6 x 100 = 60

Check your work by dividing that number by the number he answered correctly

51 / 60 = 0.85

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2 years ago

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

PolarNik [594]

Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5.

Therefore,

p(k) = 0
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so the answer is choice D.

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3 years ago

The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t

Allushta [10]

Answer:

2 years

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13000 - 650 = 12350 year 1

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12350 - 617.5 =11732.5 year 2

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2 years ago