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3 years ago

Can someone help me find the way to get this answer??

Mathematics

2 answers:

OLga [1]3 years ago

5 0

The figure can be splitted into 2 trapeziums.

Hence, 14.5 * 16 + 20 * 10 = 432.

TiliK225 [7]3 years ago

4 0

The first choice which is 432 units.

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Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0

3 years ago

Emma pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the

Sergeu [11.5K]

Answer:

where are the options??

6 0

3 years ago

Find the center of the circle (x-2)^2+(y-8)^2=33

enyata [817]

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-2)^2+(y-8)^2=33

The center is (2,8) and the radius is sqrt(33)

6 0

3 years ago

Choose the graph below that has an undefined slope.

Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of first line is

$m_1=\frac{0-2}{-6-(-6)}=\infty$

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

$m_2=\frac{1-(-4)}{-1-0}=-5$

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

$m_3=\frac{-6-(-6)}{2-0}=0$

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

$m_4=\frac{-7-6}{-3-0}=\frac{13}{3}$

Since the slope of a vertical line is infinity, Therefore option A is correct.

8 0

3 years ago

Read 2 more answers

Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t

Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53 is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) = 2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53 is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0

3 years ago