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Rachel designs a small flower garden for her new home. The garden is the shape of a rectangle, with a quarter circle added to each of the shorter sides of the rectangle. The shorter sides of the rectangle each measure 4 feet. The area of the garden is 73.12 ft2. What is the length of the other dimension rectangular portion of the garden?
Use 3.14 as an approximation for pi.

Answer:

should be 110

Step-by-step explanation:

hope that helps!

Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

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Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2

SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20

Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

Learn more about transformation of functions here:

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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

203-199=4

199-195=4

☆decreases by 4

there are 34 spaces

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35

203-4 (34)

203-136

=67

35th term of the arithmetic sequence 203, 199, 195,...... is 67.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

203, 199, 195,......

In the sequence, the first time a = 203,

And common difference of the sequence d = -4

Formula for nth term of the sequence,

aₙ = a + (n-1) . d

To find 35th term of the sequence, substitute n= 35,

a₃₅ = 203 + (35-1).(-4)

     = 203 + 34x-4

     = 203 - 136

     = 67

The 35th term of the given sequence is 67.

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Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

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Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

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Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

Answer:

[tex]\displaystyle 707\:ft.^2[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]

I am joyous to assist you at any time.

Answer:

3/17=.18

Step-by-step explanation:

There is a .18 or 3/17 chance that a car leaving will be black.

The total cost of 190 bon-bon chocolate to the nearest cent would be $30.49.

Multiplication is the process of determining the product of two or more numbers using a specialised mathematical operation. The sign that denotes multiplication is x.

Total cost = cost per gram x mass x number of bon bon

Mass = density x volume

1.28 x (4/3 x 3.14 x 1.1³) =5.35

Cost = 5.35 x 0.03 x 190 = $30.49

To learn more about multiplication, please check: brainly.com/question/3385014

Answer:

x is what????

Step-by-step explanation:

Answer:

6468 mm²

Step-by-step explanation:

Given:

Therefore, the area of the small rectangle is:

= width × length

= 21 × y

= 21y mm²

From inspection of the larger rectangle

Therefore, the area of the larger rectangle is:

= width × length

= 84(2y + 21)

= 168y + 1764 mm²

We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,

⇒ 11 small rectangles = larger rectangle

⇒ 11(21y) = 168y + 1764

⇒ 231y = 168y + 1764

⇒ 63y = 1764

⇒ y = 28

Therefore, the missing side length of the smaller rectangle is 28 mm.

Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:

⇒ area = 168y + 1764

⇒ area = 168(28) + 1764

⇒ area = 4704 + 1764

⇒ area = 6468 mm²

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Step-by-step explanation:

<ADC is 90

in triangle ACD

<CAD + ACD + ADC = 180

<CAD + ACD + 90 = 180

<CAD + ACD = 90

hence CAD AND ACD MAKES complementary angle(90)

Angle sum property

<ADC is 90°

As

Sum of angles in triangle is 180°

Hence they are complementary

The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let y represent the land area of San Francisco after x years. Hence:

The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98

The equation becomes y = 49(0.98)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

4x + y = 2

y = -4x + 2

Answer:

(4, 4)

Explanation:

(4, 4) is the only point which lies inside both of the inequalities.

4 ft³

volume of rectangle = length x width x height

given:

volume of basket:

l * w * d

2 * 1 * 2

4 ft³

Answer:

4 ft³

Step-by-step explanation:

Volume of a square prism

volume = l × w × d

(where l is the length, w is the width and d is the depth)

Given:

⇒ volume = 2 × 1 × 2

                 = 4 ft³

Answer:

r = 15

The radius of the sphere is 15 feet.

Step-by-step explanation:

see image.

Use the formula for the volume of a sphere:

V = 4/3 • pi • r^3

Fill in the 4500pi that is given for the V.

4500pi = 4/3 • pi•r^3

Then solve for r.

see image.

Multiply by 3/4 to get rid of the 4/3.

Divide both sides by pi.

Then cube root to get rid of the third power on the r.

see image.

Don't forget units.

r = 15 feet

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Answer:

The density is 0.2g/mL^2.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Given:

Sample size (n) = 50

x = 12

[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]

(from standard normal table)

90% Confidence interval is,

[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Answer: a 5/24

Step-by-step explanation:

3 + 5 + 1 = 9

First = Pop Song     P = 3/9  = 1/3

Seconed = Hip Hop Song       P2 =  5/9-1   = 5/8

So P = 1/3 x 5/8 = 5/24

So that makes A the correct answer