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3 years ago

Could some one help me in this?

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

7 0

3.14 x r^2 I belive this is right

bekas [8.4K]3 years ago

3 0

Answer:

A = 3.14 × r²

Step-by-step explanation:

A = πr²

A = 3.14 × r²

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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

<u>The steps are:</u>

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

8 0

3 years ago

Solve for a. a + 16 = 20 Enter your answer in the box. a =

Gala2k [10]

A=4 hope this helped

6 0

3 years ago

Read 2 more answers

Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 3.1 x 10^-9. Find the

scoundrel [369]

PH can be calculated using the following equation
pH = -log [H₃O⁺]
for apple juice the hydronium /hydrogen ion concentration is 0.0003
pH = -log (0.0003)
pH = 3.5
correct answer is C

For ammonia
pH = -log (3.1 x 10⁻⁹)
pH = 8.5
answer should be 8.5

5 0

2 years ago

Read 2 more answers

Please help me out..

sdas [7]

Answer:

x=41

y=139

Step-by-step explanation:

x+y = 180 since they form a straight line

y is 3x +16

y = 3x +16

Replace y in the first equation

x+3x +16 = 180

Combine like terms

4x +16 = 180

Subtract 16 from each side

4x+16-16 =180-16

4x =164

Divide each side by 4

4x/4 =164/4

x = 41

y = 3x +16

y = 3*41 +16 = 123+16 =139

5 0

3 years ago

Factor the expression using the GCF: 12x + 36 *

Rashid [163]

The answer fam is.........12(x + 3)

6 0

3 years ago