Answer:
58°
Step-by-step explanation:
<MQR = <XQL (vertically opposite angles)
28 + 5b = 70 - 2b
28 - 70 = -2b - 5b
-42 = -7b
-42/-7 = b
6 = b
<MQR = 28 + 5b
= 28 + 5(6)
= 28 + 30
= 58°
Answer:
As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:
A = LW
we then substitute them
34 square feet = x (x/2)
now all we need to do is find x first.
34 square feet = x squared / 2
now do a cross multiplication
68 square feet = x squared
then get the square root of both sides
8.246 feet = x
Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...
W = x/2
W = 8.246 feet / 2
W = 4.123 feet
And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.
Answer:
The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.
Step-by-step explanation:
A habitat of prairie dogs can support m dogs at most.
Let us consider the current population of the habitat be x.
Given the condition that the habitat's population, p, grows proportionally to the product of the current population (x) and the difference between m and p.
Thus the proportional equation would look like:
p ∝ x × (m - p)
⇒ p = K × x × (m - p) , where K is the constant of proportionality.
Thus the equation describing the above mentioned relationship is given by the above equation.
26 - 4s = 9s
26 = 9s + 4s
26 = 13s
13s = 26
s = 26/13
s = 2
Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
