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3 years ago

33

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

The question lacks the appropriate diagram. Find the diagram attached.

The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;

hyp² = opp²+adj²

hyp² = 33²+56²

x² = 1089+3136

x² = 4225

take the square root of both sides

√x² = √4225

x = 65

<em>Hence the unknown side length x is 65</em>

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For a given rabbit population, the relationship between the number of adult female rabbits, F, and the number of offspring, R, t

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Considering the given function in the problem, it is found that:

a. 9.6 offspring survive to maturity when there are 12 female rabbits in the population.

b. At least 18 female rabbits are required for there to be 13 offspring.

<h3>What is the given function in this problem?</h3>

The function gives the relationship between the number of adult female rabbits F and the number of offspring R as follows:

$R = 3 + \frac{350F}{F + 625}$

When there are 12 female rabbits, we have that F = 12, hence:

$R = 3 + \frac{350 \times 12}{12 + 625} = 9.6$

9.6 offspring survive to maturity when there are 12 female rabbits in the population.

For at least 13 offspring, we have that the number of rabbits needed is given as follows:

$R \geq 13$

$3 + \frac{350F}{F + 625} \geq 13$

$\frac{350F}{F + 625} \geq 10$

$350F \geq 10F + 6250$

$F \geq \frac{6250}{340}$

$F \geq 18$

At least 18 female rabbits are required for there to be 13 offspring.

More can be learned about functions at brainly.com/question/25537936

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2 years ago

a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

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Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

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$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

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3 years ago

The variable x represents w value in the set {4, 6, 7, 8}. Which value of x makes 2 (x - 4) + 3 = 7 a true statement

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Yakvenalex [24]

We want to add these together and then subtract from one. So to add them, find a common denominator.
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