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3 years ago

PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

Answer: l = 60 ft and w = 30 ft

P = 2(l + w)

180 = 2(l + w)

Let x = width of his yard

Let 2x = length of his yard

$180=2(2x+x)$

$\frac{180}{2}=\frac{2(2x+x)}{2}$

$90=3x$

$\frac{90}{3} =\frac{3x}{3}$

$x=30ft$

l = 2x = 30(2) = 60 ft

Check:

180 = 2(l + w)

180 = 2(60 + 30)

180 = 2(90)

180 = 180

LS = RS

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HELP PLEASE DJEJJDJDBFHERHDHKJE

Serhud [2]

Solution:

Total number of students=273

Let x students choose Tiger. Then we can write

Number of students who choose Bulldog $=4x$

Number of students who choose Lion $=2x$

So we can write

$x+2x+4x=273\\
\\
7x=273\\
\\
x=39\\$

Hence a total of 39*2=78 student choose Tiger.

6 0

3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

6 0

3 years ago

1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1

poizon [28]

Vertical angles are equal to each other:
    ∠2    =    ∠3
   5 + 4y = 6y - 25
→ 30 = 2y
→    15 = y

∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65

linear pairs equal 180:
   ∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115

5 0

3 years ago

Which of the following statements best describes the graph of −5x + 2y = 1?

Nina [5.8K]

First, we determine that the given equation in this item is a linear equation. Thus, it should be a straight line. With this, we are left with the third and fourth choice. Then, we substitute the given data points to the equation and see if the points satisfy the given.

Choice 3:

(1,3) : (-5)(1) + (2)(3) = 1 TRUE

(3,8) : (-5)(3) + 2(8) = 1 TRUE

(-3,-7) : (-5)(-3) + (2)(-7) = 1 TRUE

Choice 4:

(4,-3) : (-5)(4) + (2)(-3) ≠ 1 FALSE

(-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE

(-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE

Thus, the answer is the third choice.

5 0

3 years ago

Read 2 more answers

This graph represents the relationship between the x and y.

s344n2d4d5 [400]

Answer:

Therefore, x is 1 and 2.

Step-by-step explanation:

As you plot both equations on the same graph, you will get something like this, shown in the graph.

Then, you have to find the x solutions where they intersect.

So, both equations intersect at x = 1 and 2.

4 0

2 years ago