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3 years ago

The length of a rectangle is

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

Step-by-step explanation:

Create a system of equation for this.

We know that the perimeter is 2L+2W so

2L+2W=34

And 3W+3=L

Replace L with 3w+3.

2(3w+3)+2w=34

Simplify.

6w+6+2w=34

8w+6=34

8w=28

w=3.5.

Width is 3.5 meters.

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Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their

4vir4ik [10]

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

7 0

4 years ago

An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th

nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = $\frac{opposite}{adjacent}$

= $\frac{x}{d}$

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is $30^{o}$ , and the height of the tree is 10 m, then the distance, d, across the river would be;

d = $\frac{10}{0.5774}$

= 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

4 0

3 years ago

(12√72) : (4√3)

horrorfan [7]

Answer:

ANS. => none of the above

7 0

4 years ago

Please help and Imma be postin these all night I literally suck at algebra two so just check my profile if your good at math :)

Simora [160]

Answer:

The range of the equation is y ≥ 9 ⇒ C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = $\frac{-b}{2a}$ and k is the value of y at x = h

The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertex

The parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

∴ a = 1 and b = 0

∵ a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

∴ The range is y ≥ k

→ Use the rule of h above to find it

∵ h = $\frac{-(0)}{2(1)}$ = $\frac{0}{2}$

∴ h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

∴ k = 9

∴ The range of the equation is y ≥ 9

5 0

3 years ago

12(x−13)=13(x−12)<br><br> PLEAAASE Help

Lyrx [107]

Answer:

x=0

Step-by-step explanation:

$12(x - 13) = 13(x - 12) \\ 12x - 12 \times 13 = 13x - 13 \times 12 \\ 12x - 156 = 13x - 156 \\ 12x - 13x = 156 - 156\\ 12x - 13x = 0 \\ - x = 0 \\ x = 0$

6 0

4 years ago

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