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3 years ago

Please solve all of the questions!! GIVING BRAINLIEST

Mathematics

1 answer:

Kaylis [27]3 years ago

6 0

Answer:

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Step-by-step explanation:

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Tyler has 120 linear feet of fencing to put around his garden. If he uses the fence to border a rectangular garden, what is the

Travka [436]

Answer:

The maximum area is $900\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of rectangle

y---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

we have

$P=120\ ft$

$120=2(x+y)$

$60=(x+y)$

$y=60-x$ ------> equation A

Remember that

The area of rectangle is equal to

$A=xy$ -----> equation B

substitute equation A in equation B

$A=x(60-x)$

$A=-x^{2} +60x$

This is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area

using a graphing tool

The vertex is the point $(30,900)$

see the attached figure

Find the value of y

$y=60-x$ -----> $y=60-30=30\ ft$

The dimensions of the rectangular garden is $30\ ft$ by $30\ ft$

For a maximum area the garden is a square

The maximum area is $900\ ft^{2}$

5 0

4 years ago

In an ensemble of gongs, all gongs have a diameter of either ten inches, or twelve inches or fifteen inches. In the collection t

patriot [66]

Answer: Option 'E' is correct.

Step-by-step explanation:

Since we have given that

Let the total number of gongs be 'g'.

Number of ten inch gongs = 18

Let the number of 12 inch gongs be 'x'.

Let the number of 15 inch gongs be 'y'.

so, equation would be

$18+x+y=g$

Half of the gongs are tiger gongs is given by

$t=\dfrac{g}{2}\\\\g=2t$

Half of the 12 inch gongs are not tiger gongs

so, number of tiger gongs which is of 12 inch = $\dfrac{x}{2}$

Among the tiger gongs, there are equal numbers of ten inch, twelve inch and fifteen inch.

$\dfrac{x}{2}+\dfrac{x}{2}+\dfrac{x}{2}=t\\\\\dfrac{3x}{2}=t$

Half of the gongs are of 15 inch is given by

$y=\dfrac{g}{2}\\\\2y=g$

Since we have

$g=2t\\\\g=2\times \dfrac{3x}{2}\\\\g=3x\\\\\dfrac{g}{3}=x$

so, According to question, it becomes,

$18+\dfrac{g}{2}+\dfrac{g}{3}=g\\\\18+\dfrac{5g}{6}=g\\\\18=g-\dfrac{5g}{6}\\\\18=\dfrac{6g-5g}{6}=\dfrac{g}{6}\\\\18\times 6=g\\\\108=g$

Hence, Option 'e' is correct.

5 0

3 years ago

My siblings and I are a fierce squad of 4. We stand up for each other, always. we each want 7 halves of a YumYum cupcake.

Paha777 [63]

Answer: 1 and 3/4 cupcake

Step-by-step explanation: 7divided by 4 = 1.75 or in fractional form 1 and 3/4 cupcakes.

6 0

3 years ago

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = one-half EndFraction(x – 1).

Sphinxa [80]

Answer:

y = (1/2)x + 5/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1) is in point-slope form. To obtain the slope-intercept equivalent, solve this equation for y:

y = 3 + (1/2)x - 1/2, or

y = (1/2)x + 3 - 1/2, or

y = (1/2)x + 5/2

7 0

3 years ago

Which of the following equations best describe this relation?

Ostrovityanka [42]

Answer:

B.) C= 3n-2

Explanation:

6 0

3 years ago

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