-Which is Larger 34^7 or 10^11?
Explain you thinking.

Answer:

A.4

Step-by-step explanation:

Using the sine rule

sin(α)/A equals sin(β)/B

From the question & inserting values,

sin(90°)/8 equals sin(30°)/x

∴x equals\(\frac{sin(30)}{sin(90)}\)×8

∴x equals 4

You can learn more on the sine rule in case you get confused.

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{8}\) = \(\frac{1}{2}\) ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

Step-by-step explanation:

=2(20)+2(14)

=2⋅20+2(14)

=40+2(14)

=40+2⋅14

=40+28

=40+28

=68

Answer:

Step-by-step explanation:

P = 2L + 2W

P = 2(20) + 2(14)

P = 40 + 28

P = 68//

\(\rightarrow\) Side(a) of the cube = \(\sf{\frac{1}{3}ft}\).

\(\rightarrow\) Surface Area of the cube with side \(\sf{\frac{1}{3}ft.}\)

\(\rightarrow\) Surface area of cube = \(\sf{6a^2}\)

\(\rightarrow\) Surface area of cube = \(\sf{6a^2}\) (putting the value of a from the above given)

\(\rightarrow\) \(\sf{=\:6×(\frac{1}{3})^2}\)

\(\rightarrow\) \(\sf{=\:6×\frac{1}{9}}\)

\(\rightarrow\) \(\sf{=\:\frac{6}{9}}\)

\(\rightarrow\) \(\sf{=\:\frac{2}{3}ft^2}\)

Therefore, surface area of the given square = \(\sf{=\:\frac{2}{3}ft^2}\)

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

Step-by-step explanation:

the more likely an event the closer it is to being certain

the more unlikely an event the closer it is to being impossible

Answer:

  C

Step-by-step explanation:

If ∆MNP is equilateral, then each of the arcs MN, NP and PM will be 120°. An inscribed angle from anywhere that intercepts one of these arcs will have measure 60°. That is, angle MQP is 60°. We already know angle MOQ is 60° (half of arc MN), so ∆MOQ is equilateral, and MO=MQ=PO.

Points M and N were drawn using Q as a center, and PO as a radius.

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

Learn more about Rotation here:

https://brainly.com/question/1571997

#SPJ1

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

Answer:

7

Step-by-step explanation:

Answer:

range = 22

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest value = 25 , smallest value = 3

range = 25 - 3 = 22

From the calculation, u is represented as x⁷ and dv as e^10xdx

The formula for calculating integration by part is expressed as:

Given \(\int\limits f(x)g(x) \, dx\)

Let u = f(x) and dv = g(x)dx, according to integration by part:

\(\int\limits u \, dv = uv - \int\limits v \, du\)

Comparing the general formula above to the given integral function \(\int\limits x^7e^{10x} \, dx\)

f(x) = x⁷ and g(x) = e^10x

Comparing this with the formula \(\int\limit {u} \, dv\)

u =  x⁷ and dv = e^10xdx

Learn more here: https://brainly.com/question/14571528

Answer:

\(\displaystyle u = x^7\)

\(\displaystyle du = e^{10x} \ dx\)

General Formulas and Concepts:

Calculus

Integration

Integration by Parts:                                                                                               \(\displaystyle \int {u} \, dv = uv - \int {v} \, du\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int {x^7e^{10x}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

The amount of time it takes for E to increase by 10%. it takes 4.81 seconds.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.

Given that,

Let the amount of time it takes for E to increase by 10% be x.

Thus, after (t + x) seconds, E is increased by 10%.

E(t + x) = E(t) + 10% of E(t)

= E(t) + 10/100 E(t)

= E(t) + 0.1 E(t)

E(t + x) / E(t) = 1.1

As,

\(E(t) = 6(1.02)^t\\\\E(t + x) = 6(1.02)^{t + x}\\\\\frac{E(t + x)}{E(t)} = \frac{6(1.02)^{t + x}}{6(1.02)^{t}}\\\\\frac{E(t + x)}{E(t)} = (1.02)^{t + x - t}\\\\(1.02)^x = 1.1\)

Taking log on both sides:

x = log (1.1) / log (1.02)

x = 4.81 seconds.

Hence, the amount of time it takes for E to increase by 10%.

it takes 4.81 seconds.

Learn more about exponential function here:

https://brainly.com/question/2456547

#SPJ4

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

====================================================

Explanation:

Let's say we have the following code names for each shape

We have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions

Some permutations have C and S together, while others do not.

Example of them together: CSTP

Example of them separated: CTSP

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

Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.

Let's call this new shape "polygon" and define it as

L = polygon

The codename L is just a placeholder for CS or SC.

So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}

No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.

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

There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.

So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.

Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.

Answer:

Step-by-step explanation: 20.6 rounded to the nearest tenth.

Answer:

d = √  [ (∆x)² + (∆y)²  ]

  d = √  [  (3.2 – 2)² + (6 – 3.6)²   ]

  d = √  7.2  =  √  (36 ⁄ 5)  =  6(√ 5) ⁄ 5  =  2.68 Hope this helps :)

Answer:

y= -3x +10

the y-intercept is at 10 and then go 3 down one to the right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Image below

Answer:

your answer is C) A negative radius does not make sense.

Step-by-step explanation:

hope it helps  ^_^

As given by the question

There are given that the vertex of the parabola is, (-5, -2), x = -4, y = 2.

Now,

From the vertex,

vertex form of the parabola is:

Substitute the value of x, y, h, and k into the equation (1)

Then,

Then,

Substitute the value of a=4 into the equation (1)

So,

The coefficient of the squared expression in the parabola equation is 4

Hence, the correct option is C.

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

Therefore,

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

When we substitute the provided values, we get: ABCD perimeter = 9 units plus 5 units plus 9 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units As a result, the perimeter of ABCD is 28 units.

To learn more about Quadrilateral refer to:

https://brainly.com/question/23935806

#SPJ2

Answer:

I think it would be x<5

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

i got 6

Step-by-step explanation:

Answer:

It's B I think.

Step-by-step explanation:

If it's wrong, please tell me!

Answer:

the awnser is A hopw this helps

Answer:

Step-by-step explanation:

y = negative 6 (x minus one-fourth) squared + nineteen-eighths

Step-by-step explanation:

y = –6x^2 + 3x + 2

Divide the first 2 terms of the right side by -6:

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

Now complete the square on the expression in the brackets:

y = -6[(x - 1/4)^2 - 1/16] + 2

y = -6(x - 1/4)^2 + 6/16 + 2

y = -6(x - 1/4)^2 + 38/16

y = -6(x - 1/4)^2 + 19/8

Answer: C

Step-by-step explanation:

9514 1404 393

Answer:

  (b) The function is negative for all real values of x where x < -3 and where x > 1

Step-by-step explanation:

It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.

Answer:

X=24

Step-by-step explanation:

I did this when I was a freshman and I was always really good at it

The exact value of cosθ is -8/17

A line which is being rotated along a point, clockwise or anticlockwise, to form an angle.

Given that, θ is an angle in standard position and its terminal side passes through the point (-8,15),

Draw a right triangle in the second quadrant of the rectangular coordinate plane with base = -8 (x-axis) and height = 15 (y-axis)

Using Pythagoras theorem for the hypotenuses (h) of the triangle.

h = \(\sqrt{15^{2}+8^{2} }\)

h = √289

h = 17

The cosine of an angle is the ratio of base to hypotenuse,

cosθ = -8/17

Hence, the value of cosθ in the simplest radical form is -8/17

For more references on terminal side, click;

https://brainly.com/question/22593628

#SPJ1

An

2 pie/3

Step-by-step explanation:

Given:

The function is:

\(g(a)=\dfrac{8-a}{4}\)

To find:

The difference quotient of the function.

Solution:

Formula for difference quotient of the function f(x) is:

\(DQ=\dfrac{f(x+h)-f(x)}{h}\)

We have,

\(g(a)=\dfrac{8-a}{4}\)

The difference quotient of the function g(a) is:

\(DQ=\dfrac{g(a+h)-g(a)}{h}\)

\(DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}\)

\(DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}\)

\(DQ=\dfrac{-h}{4h}\)

\(DQ=-\dfrac{1}{4}\)

Therefore, the difference quotient of the given function is \(-\dfrac{1}{4}\).

Answer:

They are right, It is -1/4. The second one.

Step-by-step explanation:

Edge 2021