George Carrillo
What is the surface area of the sphere?
20 cm
Right
Rectangular S.A. = 2(lwt wh+ hl)
Prism
Right Prism S.A - ph+28
Right
Cylinder
SA. - 2 + 2 trh
Right Cone S.A = x +
Regular
pl
S.A = +8
Pyramid
Sphere SA 4
Cylinder Vrh
Cone
v-garn
Vrh
Pyramid
V-B
A 3207 cm
B 4007 cm
Sphere
VG
C 1600 cm
D 32007 cm

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

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Using a system of equations, it is found that the cost of a paint set is of $19.50.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:

x + y + z = 32.50.

The sketchbook cost half the cost of the paint set, hence:

y = 0.5x.

The brush cost one third of the sketchbook, hence:

z = 0.3333(0.5x) = 0.1667x.

Then, to solve for x:

x + y + z = 32.50

x + 0.5x + 0.1667x = 32.50

x = 32.50/1.6667

x = 19.50.

The cost of a paint set is of $19.50.

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Answer:

A

Step-by-step explanation:

Answer:

A = 81π units²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 9² = 81π units²

Answer:

17

Step-by-step explanation:

f(x) = 2x+7

Let x =5

f(5) = 2*5 +7

     = 10+7

    = 17

Answer:

fraction :4

Step-by-step explanation:

The equation that represents the directrix of y² = 12x is x = -3

The parabola is given as:

y² = 12x

The general equation of a parabola is

(y-y₀)² = 4a(x-x₀)

Where the equation of the directrix is x = x₀ - a

By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:

4a = 12 and x-x₀ = x

Solve for a in 4a = 12

a = 3

Solve for x₀ in x-x₀ = x

x₀ = 0

Substitute a = 3 and x₀ = 0 in x = x₀ - a

x = 0 - 3

Evaluate

x = -3

Hence, the equation that represents the directrix is x = -3

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Answer: 97/125

Step-by-step explanation:

Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

Answer:

3rd option

Step-by-step explanation:

the ratio of b : c is the cos77° , that is

cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.

Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

[tex]\frac{4}{9}[/tex]

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

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Answer:

B

Step-by-step explanation:

4/13

Answer:

The first graph.

Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7

Answer:

It's the the 4th one. 6.3.3

Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

The standard deviation of the amount paid for monthly water usage is $35.25

From the summary statistics, we have:

Standard deviation, σ = 2350

Rate = $0.015

The standard deviation of the amount is calculated using:

σ = Standard deviation * rate

This gives

σ = 2350 * $0.015

Evaluate

σ = $35.25

Hence, the standard deviation of the amount paid for monthly water usage is $35.25

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Answer:

[tex]y=\frac{2}{3}x+4[/tex]

Step-by-step explanation:

Calculate the slope by using rise over run to get 2/3x

The Y Intercept is 4

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]

[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]

[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]

[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]

[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

See below ~

Step-by-step explanation:

Question 12

Question 17

Part A

Part B

Answer:

Left side                                  Right side

1                                                   3

2                                                  2

3                                                  1

Step-by-step explanation:

left side on the picture right side on the picture

The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10

So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

Answer:

The first graph

Step-by-step explanation:

-2x is the key here, when you add a subtraction sign to the x-axis it goes right.

+2x would be the graph on the bottom because it is translated to the left.

So the first graph on your picture is the answer.

Answer+Step-by-step explanation:

x² – 2x + 3 = (x - 1)² + 2

Then

The vertex of the parabola is the point (1 , 2)

then

The graph number 1 (on top) is the one which represents f

The value of cos x⁰ from the information given is; g/h.

According to the task content;

The value of cos x° from the information contained in the task content is required.

From conventional Trigonometry;

It follows that tan x = sin x/cos x.

On this note, it follows that;

cos x⁰ = sin x⁰/tan x⁰.

cos x⁰ = 6/h ÷ 6/g

cos x⁰ = g/h

Ultimately, the value of Cos x⁰ by evaluation is g/h.

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Answer:

cos x° = g divided by h

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]

                   = [tex]\frac{1}{6}[/tex]

Answer:

18.8%

Step-by-step explanation:

For calculating this, focus on one part of the table :

There are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :

Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line

Probability

Option D

The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be

Area = (10x + 10)(4x + 20)

Area = 40x² + 200x + 40x + 200

Area = 40x² + 240x + 200

Area = 40(x² + 6x + 5)

If the width is 160 feet then the value of x will be

4x + 20 = 160

       4x = 140

         x = 35

Then the area of the rectangle will be

Area = 40(35² + 6 × 35 + 5)

Area = 40(1225 + 210 + 5)

Area = 40 (1440)

Area = 57,600 square ft

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