The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.


Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?

Answer:

the dimensions for the can that will minimize production cost is 9.13 cents

Step-by-step explanation:

The volume of a cylinder  V = π r²h

If we make the height h the subject of the formula; we have :

h = V/ π r²

Given that the volume of the cylinder = 400

Then

h = 400/ π r²

The total cost  will be: 0.02 × 2πrh + 0.07 × 2πr²

= 0.04 (πrh) + 0.14 (πr²)

=  0.04 (πr[tex]\frac{400} {\pi r^2}[/tex]) + 0.14 (πr²)

= 16/r +  0.14 (πr²)

total cost(c)= 16/r +  0.14 (πr²)

(c') = -16/r² +  0.28 (πr)

Let differentiate (c') with respect to zero (0); then:

-16/r² =  - 0.28 (πr)

r³ = 16/0.28 π

r³ = 18.19

r = 2.63 cm

Recall that:

h = 400/ π r²

h =  400/ π (2.63)²

h =  400/21.73

h = 18.41 cm

From;  total cost =  0.04 (πrh) + 0.14 (πr²)

replacing the value of r and h ; we have:

= 0.04 (π×2.63×18.41) + 0.14 (π × 2.63²)

= 0.04 (152.11) + 0.14 ( 21.73)

= 6.0844 + 3.0422

= 9.1266

≅ 9.13 cents

Therefore; the dimensions for the can that will minimize production cost is 9.13 cents

Answer:

C. p > -3

Step-by-step explanation:

We observe the characteristics of the shaded ray on the number line.

It goes to the right, so the inequality must be either greater than or greater than or equal to.

The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.

Now, without even looking at the numbers themselves, we can find our answer.

There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.

Hey Mate !

Your Answer is given in the snip below !!

Please do mark me as brainliest !!!

(ANSWER=  (D)   [tex]\frac{1}{6}[/tex] )

Explanation

Answer:

You have a standard number cube.

What is the probability of rolling a number less than 3, and then rolling a prime number?

D. 1/6

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

First find the area of the sector.

For that, use this equation:

area = [tex]\frac{x }{360} * \pi r^{2}[/tex]

where 'x' is the angle and 'r' is the radius

Sub the values in

area = [tex]\frac{56}{360} * \pi15^2[/tex]

Solve:

area = [tex]35\pi[/tex]

It is easier to keep it in terms of pi until the end

Now, calculate the area of the triangle within the sector

area = 1/2 ab x sinC

where 'a' and 'b' are the radius (side lengths) and C is the angle

thus,

area = 1/2(15 x 15) x sin(56)

area = 93.27 (to 2 d.p)

Now subtract the area of the triangle from the area of the sector

[tex]35\pi[/tex] - 93.27 = 16.6857

This would give you a final answer of 16.69 units^2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

3

Step-by-step explanation:

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

Hey there!

For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.

For the second question we get a trapezoid, since the cross section does not pass through the vertex.

Hope this helps :)

Subtract base fee from total then divide by price per mile:

115.58 - 15.99 = 99.59

99.59 / 0.79 = 126.063 miles

Round the answer as needed.

Answer:

(0,-6) and (-1,0)

Step-by-step explanation:

First:

Set both sides equal to each other: -6x-6=x^2-5x-6

Next:

factor -6 our from the first side and write -5x as a difference:

-6(x+1)=x^2+x-6x-6

Then:

factor out x and -6 drom the second side:

-6(x+1)=x(x+1)-6(x-+1)

Then:

Factor out (x+1)

-6(x+1)=(x+1)(x-6)

Next Combine to one side and factor:

-(x+1)(6+x-6)=0

Simplify:

(x+1) (x)=0

find the zero:

x+1=0 --> x=-1

x=0 --> x=0

Substitute into the equations to find y:

y=-6(-1)-6

y=-6(0)-6

Solve:

y=0

y=-6

Answer:

(x1,y1)= (-1,0)

(x2,y2)= (0,-6)

Answer:

The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."

Answer:

This triangle does not exist due to the fact that the sum of 4 and 12 is less than 17

Step-by-step explanation:

The triangle formaction rule states that the 2 smaller sides must be able to combine and be greater than the greatest side.

Triangle

Sides - 3, 4, 5

3+4=7

Meaning the two smaller sides add up to because greater than 5.

Non-Triangle

Sides - 5, 6, 13

5+6=11

This means that this is not a triangle because the smaller sides ‘5 and 6’ do not add up to become greater than 13.

Gemma’s Triangle

Sides - 4, 12, 17

4+12=16

Hence, Gemma‘s figure is not a triangle because the 2 smaller sides ‘4 and 12’ don‘t add up to be greater than 17.

Answer:

18- 14+8=3x

4+8=3x

12=3x

12/3=2x/3

x=4

Answer:

2/3, -8, -1/6, 4.

Step-by-step explanation:

Step-by-step explanation:

The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as :

Now, from the given options, the possible choices can be :

A, B, C and E

D can be there because after taking any pair the rational root can't be 3

F can't be possible because an does't have 4 in its factors so denominator cannot be 4.

Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are 4 terms.

The answer is D - 4 :)

Answer:

The data that we have is:

Price per item = $25

spending limit = $200

Now, if you sell x items, then your earnings will be:

E = $25*x

So if you sell two items, we have x = 2

E(2) = $25*2 = $50

But the maximum spending possible will be such that:

$25*x = $200

x = $200/$25 = 8

Then the equation is:

E(x) = $25*x

such that  0 ≤ x ≤ 8

Which means that you can sell any number of units between 0 and 8.

Answer:

Igloo Ice has the lowest delivery charge.

Step-by-step explanation:

Igloo Ice when you plug in 120 for the y you get 25.714 as the x.

Freds freeze at 120 is 20.

And lastly Tasty treats at 120 is 24, so Igloo Ice has the lowest delivery charge per person (you pay $120 for 25.714 people.)

Answer:

Igloo Ice

Step-by-step explanation:

Igloo Ice C(n) = 1.75n + 75

Fred's Freeze C(n) = 2n + 80

Tasty Treats C(n) = 1.25n + 90

75 is the lowest delivery charge

C(n) is total charge including what they are delivering

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph  that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph  that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

Answer:

The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star

Step-by-step explanation:

Answer:

s = 11.4

Step-by-step explanation:

The following data were obtained from the question:

Angle S = 60°

Opposite S = s =?

Opposite U = u = 13

Opposite T = t = 5

Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:

s² = u² + t² – 2ut Cos S

s² = 13² + 5² – 2 × 13 × 5 × Cos 60

s² = 169 + 25 – 130 × 0.5

s² = 194 – 65

s² = 129

Take the square root of both side.

s = √129

s = 11.4

Therefore, the value of s is 11.4

Answer:

D. Decision support systems

Step-by-step explanation:

Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.

It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.

There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:

1. Transaction Processing Systems

2. Process control system

3. Enterprise collaboration system

4. Enterprise Resource

Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.

Answer:

13,600 [tex]in^{2}[/tex]

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

Answer:

69.1 ft

Step-by-step explanation:

A circle has 360 degrees.

The arc we are finding the length of is 330 degrees.

Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)

Let's find the circumference of the entire circle.

Circumference is πd.

The radius of the circle is 12ft.

Diameter is double of radius.

12*2=24

The diameter is 24.

Plug that in.

24π=75.36 when using 3.14 for π

Multiply that by 11/12.

11/12*75.36=69.08

Round 69.08 to nearest tenth.

69.1

Keywords:

Circle

Circumference

Arc

Diameter

Radius

Learn more about arc length here:

https://brainly.com/question/16930503

Answer:

Step-by-step explanation:

The length of this triangle is 10 squares

and the width is 4 squares

The diagonals divide the rectangle into four triangles

These traingles are isoceles

Each two triangles facing each others are identical

<B = 90 degree

B = alpha + Beta

Let Beta be the angle next alpha

The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:

Beta = 2x

Then B = alpha + 2x

90 = alpha +2x

90-alpha = 2x

x = (90-alpha)/2

Answer:

x = 90 - 2α

Step-by-step explanation:

Solution:-

- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".

                       < BAD > + < ADB > + < ABD > = 180°

                       < ABD > = 180 - 90° - α

                        < ABD > = 90° - α

- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".

- We name the foot of the perpendicular bisector as " F ":  " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.

                    < ABD > = < BAE >  = 90° - α   ... ( Isosceles triangle " BEA " )

Where, sides ( BE = AE ).

- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:

                     < ABF> + < BFA > + < BAF > = 180°

                     < ABF > = 180 - (90° - α) - 90°

                    < ABF > = α  

Where,       < BAF > = < BAE >

- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE >  = x.

                        < ABD > = < ABE > = < ABF > + x

                         90° - α = α + x

                        x = 90 - 2α   ... Answer

Answer:

Events A and B are independent but Event C is dependent on both Event A and Event B.

Step-by-step explanation:

Find whether events A, B and C are independent.

- Events A and B are independent of each other, because the appearance of an odd number on die X does not effect or influence the appearance of an even number on die Y.

- Event C, on the other hand, is dependent on both event A and event B. How?

For Event C to take place, one die will have to show an odd number while the other shows an even number.

NOTE: The odd number must not show up on die X and the even number show up on die Y. Both number types can appear on any die.

The key is just that one number must be odd and the other even; in order for their sum to be an odd number.

The equation of line which is perpendicular to the line FG is

y = -2x -3.

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

[tex](y -y_{1}) = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } (x-x_{1} )[/tex]

If [tex]m_{1}[/tex] be the slope of one line, then the slope of the perpendicular line is [tex]\frac{-1}{m_{1} }[/tex].

The slope intercept form of the line is given by  y = mx + b

Where, m is the slope of a line.

According to the given question

We have a line FG and the coordinates of points F and G are (-5,1) and (9,8) respectively.

Therefore, the slope of the line FG = [tex]\frac{8-1}{9+5}=\frac{7}{14} =\frac{1}{2}[/tex]

⇒ The slope of the line which is parallel to line FG is -2

Now, from the given option of the equation of line , y = -2x -3 has a slope of -2 .

Hence, the equation of line which is perpendicular to the line FG is

y = -2x -3.

Learn more about the equation of a perpendicular line here:

https://brainly.com/question/20712656

#SPJ2

Answer:

Step-by-step explanation:

Use the following formulas:

surface area of rectangular prism: A = 2wl + 2lh + 2hw

volume of rectangular prism: lwh

surface area of cylinder: A=2πrh+2πr^2

volume of cylinder: V=πr^2h

using these formulas, the surface area of the box is 424.3

the volume of the box is about 511.3

the surface area of the cylinder is about 275.77

the volume is 342.12

knowing this, the cylinder uses less material but the box holds more soup.

Answer:

2 triangles are possible.

Step-by-step explanation:

Given

a=6

b=10

[tex]\angle[/tex]A=33°

To find:

Number of triangles possible ?

Solution:

First of all, let us use the sine rule:

As per Sine Rule:

[tex]\dfrac{a}{sinA}=\dfrac{b}{sinB}[/tex]

And let us find the angle B.

[tex]\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ[/tex]

This value is in the 1st quadrant i.e. acute angle.

One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = [tex]114.56^\circ[/tex]

For the value of [tex]\angle B = 65.44^\circ[/tex], let us find [tex]\angle C[/tex]:

[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ[/tex]

Let us find side c using sine rule again:

[tex]\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c = 11.02 \times sin81.56^\circ = 10.89[/tex]

So, one possible triangle is:

a = 6, b = 10, c = 10.89

[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=65.44°, [tex]\angle[/tex]C=81.56°

For the value of [tex]\angle B =[/tex][tex]114.56^\circ[/tex], let us find [tex]\angle C[/tex]:

[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ[/tex]

Let us find side c using sine rule again:

[tex]\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c = 11.02 \times sin32.44^\circ = 5.91[/tex]

So, second possible triangle is:

a = 6, b = 10, c = 5.91

[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=114.56°, [tex]\angle[/tex]C=32.44°

So, answer is : 2 triangles are possible.

Answer:

Step-by-step explanation:

To find x we use tan

tan∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 30

So we have

tan 25° = 30/x

x tan 25 = 30

Divide both sides by tan 25

x = 30/tan 25

x = 64.34

x = 64 to the nearest tenth

Hope this helps you

Answer:

1,325

Step-by-step explanation:

30 /2

= 155,000 - 245(15)

= 5,000 - 3,675

= 1,325

Answer:

1,325

Step-by-step explanation:

Hi,

Answer:

[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°

Have a good day.

Answer/Step-by-step explanation:

a. Unknown side, b, using the Pythagorean theorem is solved as shown below.

[tex] b^2 = c^2 - a^2 [/tex]

[tex] b^2 = 45^2 - 27^2 [/tex]

[tex] b^2 = 1,296 [/tex]

[tex]b = \sqrt{1,296}[/tex]

[tex] b = 36 [/tex]

Unknown side, b, = 36 km

b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]

[tex] perimeter = 108 km [/tex]

c. Area of triangle = ½*base*height

where,

Base = 36 km

Height = 27 km

[tex] Area = \frac{1}{2}*36*27 [/tex]

[tex] Area = 18*27 [/tex]

[tex] Area = 486 km^2 [/tex]

Answer:

the second one........the shape of the conic section os circle

Answer:

A. Yes

B. Yes

C. No

Step-by-step explanation:

We can substitute each value in to the equation and see if the sides match up. Let's start with a.

[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]

So, n = 2 works for equation a. Let's try B.

[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]

So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.

[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]

So y = 30 doesn't work for C.

Hope this helped!