find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet

The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have:

The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.

Let's suppose the thickness of the frame is x:

Then, the area of the rectangle:

(2x+3)(2x+5) = 19.25

4x² + 10x + 6x + 15 = 19.25

4x² +16x - 4.25 = 0

Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.

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The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

No of action films = 3

No of comedy films=3

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;

[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]

Hence, the  probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

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Answer:

  7/80 lb

Step-by-step explanation:

We are given that 1/10 of the 7/8 pound package is raisins.

__

The weight of raisins is ...

  (1/10)(7/8 lb) = 7/80 lb

Answer: B

Step-by-step explanation:

    This equation is in y = mx + b form, also known as slope-intercept form.

   First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.

   Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.

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Answer:   The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

Answer:

a) 1

b) 0

c) hundreths

d) .8

Step-by-step explanation:

The order, for this problem, is:

hundreds, tens, ones,

then after the decimal

tenths, hundredths, thousandths, ten thousandths, etc.

as for step d, imagine .08 as 8/100, and 8/10. Would you rather have 8 slices of pizza out of 100 slices, or 8 out of 10 slices of the whole?

I hope I helped!

Answer:

126 ft²

Step-by-step explanation:

surface area of rectangular prism: 2(LW + HW + WL)

Here Given:

Surface Area:

height= 3 ft

width= 3 ft

length= 9 ft

the surface area of the given prism.

[tex]s.a = 2(hw + wl + hl )[/tex]

[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]

[tex]s.a = 126 \: {ft}^{2} [/tex]

therefore, the surface area of the given prism is 126 square feets.

Answer:

12.7

Step-by-step explanation:

Its a pythagerous question question

so if the ladder is 8 feet from the wall the base is 8

and the ladder is 15 foot and is the hypotemuse

so 15^2-8^2=161^2

The root of 161 = 12.69 rounded to 2 dp

so 12.7

The distance far the top of the ladder from the ground is 12.7 feet

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given that;

Length= 15foot

Base= 8feet

Now,

In this case, the ladder is the hypotenuse, and the base and the height are the legs. So, we can write:

15^2 = 8^2 + h^2

where h is the height of the ladder from the ground. Solving for h, we get:

h^2 = 15^2 - 8^2

h^2 = 225 - 64

h^2 = 161

h = sqrt(161)

h = 12.688

Therefore, by  Pythagoras theorem the answer will be 12.7 feet.

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Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.

You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Assuming x is 400:

= -1.026x² + 1,016.402x - 162,075.

= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.

= $80,325.80

These figures are very close to the actual y values given which makes this the best model.

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Answer:  A. y = –1.026x2 + 1016.402x – 162075

Step-by-step explanation:

Answer:

$18019.37

Step-by-step explanation:

[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]

≈ $18019.37

Answer:

+ 25

Step-by-step explanation:

b² + 10b

using the method of completing the square

add ( half the coefficient of the b- term)²

b² + 2(5)b + 25

= (b + 5)² ← a perfect square

Answer:

b

Step-by-step explanation:

hj

Answer:Its B,dude

Step-by-step explanation:

Answer:

As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.

Given equation:

[tex]y=\dfrac{2}{3}x-5[/tex]

Calculating two points on the line:

[tex]\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)[/tex]

[tex]\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)[/tex]

Plot these points and draw a straight line through them (attached).

Answer:

9 sections

Step-by-step explanation:

We can find the number of section by dividing the total number of CDs by the number of CDs that each case holds.

    [tex]\sf \text{Number of CDs =$\dfrac{36}{4}$}[/tex]

                              = 9

If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

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Answer:

Step-by-step explanation:

We know that:

We also know:

Here are the answers verified:

The correct option is B.

The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0

We want to simplify the algebraic Equation;

(4x - 7)² + 16 = 40x - 70

Factorize right hand side to get;

(4x - 7)² + 16 = 10(4x - 7)

If p = 4x - 7, then we have;

p² + 16 = 10p

Using subtraction property of equality gives;

p² + 16 - 10p = 10p - 10p

p² + 16 - 10p = 0

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Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

There is no flaw in the steps. Hence, the correct option is A.

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Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

Using T :

Using P :

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

Answer:

x = 25

y = 6

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

2x and 50 are opposite angles,

2x = 50

Divide 2 on both sides,

x = 50 / 2

x = 25

In a parallelogram opposite sides are equal.

y + 5 and 11 are opposite sides,

y + 5 = 11

y = 11 - 5

y = 6

Answer:

x=25

y=6

Step-by-step explanation:

from the diagram,

2x= 50(opposite angles of a parallelogram)

2x= 50

dividing bothsides by 2

2x/2=50/2

x= 25

then,

y+5=11(opposite sides of a parallelogram)

y= 11-5

y= 6

Answer:

[tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex]

Step-by-step explanation:

Keep in mind that a rational function with a vertical asymptote at [tex]x=4[/tex] means the denominator must be 0 when [tex]x=4[/tex] is plugged in.

This means we have [tex]\displaystyle y=\frac{6}{x-4}[/tex] so far.

To account for the horizontal asymptote at [tex]y=5[/tex], we need to adjust the numerator and denominator so that they are the same degree and that the leading coefficients have a ratio of 5. We can do this by multiplying the numerator by 5x and the denominator by 6.

This leaves us with [tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex] as the translated equation since the end behavior of the function is [tex]\displaystyle y=\frac{30x}{6x}=5[/tex]. See attached graph.

Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

Answer:

x = 27.4

Step-by-step explanation:

[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]

[tex]\sf 34.6 + 118 + x = 180[/tex]

Add 34.6 and 118 = 152.6

[tex]\sf 152.6+x=180[/tex]

Subtract 152.6 from both sides.

[tex]\sf x=180 - 152.6[/tex]

Subtract 152.6 from 180 = 27.4.

Therefore, the missing angle "x" is 27.4.

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

Answer:

4 and 3/4 is the 5th shortest piece

a third of 4 and 3/4 is 1 and 7/12

the answer is: 1   7/12  in.

Step-by-step explanation:

4 and 3/4 is 19/4

19/4 divided 3 is 19/4 *1/3 = 19/12 = 1 7/12

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;

The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.

In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.

Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

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Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

Answer:

-5

-3

-2

Rule:  Subtract 2 from the input value

Step-by-step explanation:

Examine the pattern of the input and the corresponding output for the two given ordered pairs:

Input -2 → Output -4  

Output - Input =  -4 - (-2) = -2

Input 1 → Output -1

Output - Input = -1 - 1 = -2

Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}[/tex]

As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:

Output = Input - 2

or as an equation:  [tex]y=x-2[/tex]

Answer:

Step-by-step explanation: