X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula. ​

The Prism has a larger surface area than the pyramid.

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

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Answer:

15x + 50y = 5 (3x + 10y)

5 is a common factor

15/3x = 3x

50/5y = 10y

the answer is 5

[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]

[tex] \mathfrak \red{AnSwEr~}[/tex]

[tex] \mathfrak \red{Explaination}[/tex]

[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]

[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]

[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]

Answer:

there is no picture,you need to add a pic

Hey there!

Formula:

a = √p(diagonal)^2 + q(diagonal)^2 / 2

a = √p + q / 2

SOLVING FOR CURRENT EQUATION

a = √10^2 + 12^2 / 2

a = √10 * 10 + 12 * 12 / 2

a = √100 + 144 / 2

a = √244 / 2

a = √61

a ≈ 7.81

Thus, your answer is: √61

Or as you put….

5^2 + 6^2 = c^2

5 * 5 + 6 * 6 = c^2

25 + 36 = c^2

√61 or -√61 = c^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  11.5 m

Step-by-step explanation:

The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...

  Tan = Opposite/Adjacent

The lengths of the adjacent sides of the triangle can be found by rearranging this formula:

  Adjacent = Opposite/Tan

__

The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:

  h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle

  h(1/tan(25°) -1/tan(50°)) = 15

  h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)

  h ≈ 11.4907 . . . . meters

The height of the tree is about 11.5 meters.

The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.

It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.

In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.

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Answer:

x = 102.5°

Step-by-step explanation:

these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees

create this equation to find 'x':

x + x-25 = 180

combine 'like' terms:

2x - 25 = 180

add 25 to each side:

2x = 205

x = 205/2 or 102.5°

Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

[tex]\rm pH=log[H^{+}][/tex]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

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Answer:

B ✔️

Step-by-step explanation:

Answer: 13.5 in

Step-by-step explanation:

The formula for the volume of a cone is: V = π*r^2*(h/3).

Therefore, when the given numbers are plugged in, it becomes:

1144.53 = (3.14)(9^2)(h/3).

Solving this for h, we get the answer of 13.5 in

Answer:

1,900 miles in 3 days is going fast than 2,700 miles in 3 days

Step-by-step explanation:

1,900 divided by 2 is = 950

2,700 miles divided in 3 days is = 900

Answer:

your family traveled faster

Step-by-step explanation:

your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)

do the same for 2,700 and 3 (900 is answer)

compare the two and you have your answer!

Hope this helps and that you have a wonderful evening/day!

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

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Answer:

x = 9/10

Step-by-step explanation:

This problem features a ratio: 4x/3 = 6/5

By cross multiplying you get that 4x*5 = 3*6 or 20x = 18. By dividing both sides by 20, you get that x = 18/20, and when simplified, 9/10.

Answer:

not sure if its correct but let me know if its incorrect

thank you !

Replace x in the equation with the given x values and solve for y:

3 + 2(4) = 11

3 + 2(5) = 13

3 + 2(9) = 21

3 + 2(10) = 23

the y values are: 11, 13, 21, 23

#4

#5

#9

#10

Answer: 48

Step-by-step explanation:

3x16=48

3 gallons=48 cups

There are 48 cups in 3 gallons.

To start your conversion, you need to know how many cups are in one gallon.

There are 2 cups in 1 pint, and 2 pints in 1 cup.

Answer:

Step-by-step explanation:

Subtract to find how much was spent on coffee:

90 - 47.65 = 42.35

Divide what was spent by the price per pound:

42.35 / 8.47 = 5

They bought 5 pounds of coffee

Answer:

y-intersept is where the line crosses the y axis

on this one it is

(0,-3)

Hope This Helps!!!

Answer:

(0,-3)

Step-by-step explanation:

The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).

Hope this helps!!

Answer:

approximately V =  201 m^{3}

Step-by-step explanation:

Volume of a right circular is π[tex]r^{2} h[/tex]

R = radius of 4m

H = height of 4m

pi = approximatly 3.14

[tex]V = 3.14*4^{2}*4[/tex]

[tex]V = 3.14*16*4[/tex]

[tex]V = 3.14*64[/tex]

approximately [tex]V = 201 m^{3}[/tex]

Hope this helps :)

(If this was not the corrrect answer please give me more information)

Answer:

Question (a)

Given equation:

[tex]8^{2x} = 32^{x+3}[/tex]

8 can be written as [tex]2^3[/tex]

32 can be written as [tex]2^5[/tex]

Therefore, we can rewrite the equation with base 2:

[tex]\implies (2^3)^{2x} = (2^5)^{x+3}[/tex]

------------------------------------------------------------------------------

Question (b)

To solve:

[tex](2^3)^{2x} = (2^5)^{x+3}[/tex]

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :

[tex]\implies 2^{3 \cdot 2x} = 2^{5(x+3)}[/tex]

[tex]\implies 2^{6x} = 2^{5x+15}[/tex]

[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex] :

[tex]\implies 6x = 5x+15[/tex]

Subtract [tex]5x[/tex] from both sides:

[tex]\implies x = 15[/tex]

Answer:

y = -x + 1

example:

(-2, 3)

y = -(-2) + 1

y = 2 + 1

y = 3

Answer:

y = -x + 1

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1

y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1

y = -x + 1

Answer:

  6 cm

Step-by-step explanation:

A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.

The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)

The diameter is twice the radius:

  d = 2 × (3 cm) = 6 cm

The dial's diameter is 6 cm.

Answer:

37/6x = 6 and 5 1/2x + 2/3x = 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation

A.96=6+576

B.576=96+6

C. 96=6×576

D. 576=96×6

The period of the given function is T = 2π

The period T of a function f(x) is such that:

f(x + T) = f(x).

In this case, our function is:

f(θ) = e^{iθ}

Remember that this can be written as:

f(θ) = cos(θ) + i*sin(θ)

So yes, this is in did a periodic function.

Then the period of the function f(θ) is the same as the period of the cosine and sine functions, which we know is T = 2π.

If you want to learn more about periodic functions, you can read:

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The period of the considered function f(θ) = e^{iθ} is found to be P = 2π (assuming 'i' refers to 'iota' and 'e' refers to the base of the natural logarithm)

For any real value θ, we have:

[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]

where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.

Functions which repeats their values after a fixed interval, are called periodic function.

For a function [tex]y = f(x)[/tex], it is called periodic with period 'T' if we have:

[tex]y = f(x) = f(x + T) \: \forall x \in D(f)[/tex]

where D(F) is the domain of the function f.

Suppose that, the period of the function [tex]f(\theta) = e^{i \theta}[/tex] be P, then we get:
[tex]f(\theta + P) = f(\theta)\\\\e^{i(\theta)} = e^{i(\theta + P)}\\\\\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex]

When two complex numbers are equal, then their real parts are equal and their imaginary parts are equal.

That means,

[tex]\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex] implies that:

[tex]\cos(\theta) = \cos(\theta + P)\\\sin(\theta) = \sin(\theta + P)[/tex]

Also, we know that the period of sine and cosine function is [tex]2\pi[/tex]

Thus, we get:

[tex]P = 2\pi[/tex]

Thus, the period of the function [tex]f(\theta) = e^{i \theta}[/tex]  is P = 2π

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Answer:

find the product of (4m-n)and(3m-2n)

Answer:

1

Step-by-step explanation:

the number of circles which can pass through three given non-collinear points is exactly one.

the reason is that the center of such a circle must be on the (perpendicular) bisectors of the lines between each pair of these points.

these bisectors intersect at one unique point which is the center of the circle and the distance of any point from the center is the radius. So given three non collinear points fixes the center and the radius thereby giving us one unique circle.

the same way we find the circumscribing circle of a triangle, which is exactly the same situation.

Answer:

100.53m² area of carpet is left after putting the table in place.

Answer:

6 x 4 x 4

Step-by-step explanation:

Answer:

Top question) 12

Bottom question) 16

Step-by-step explanation:

top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.

bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box

Hope this helps! pls mark brainliest