12. Find the area of the region shown by dividing it into two trapezoids.271371812a.c.810sq.units546sq.units540sq.units1092 sq. unitsb.d.

Answer:

<A= right

<B= acute

<C= obtuse

<D= acute

Step-by-step explanation:

Answer:

63360 inch = 1 miles.

Step-by-step explanation:

Answer:

63360

Step-by-step explanation:

G

O

O

G

L

E

A week has three days, monday \stuesday \swednesday \sthursday \sfriday \ssaturday \ssunday.

A week can be any period of time with 7 days; it is not required to be from Monday through Sunday. Example: The days of Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday, and Monday all add up to a week.

T stands for Tuesday in the alphabetical list of days of the week. W stands for Wednesday. R stands for Thursday. F is for Friday. Saturday is denoted by the letter S.

You're correct about yesterday, today, and tomorrow.

The word "short" is a five-letter phrase that becomes "shorter" when we add the two letters "e,r."

A week has three days, monday \stuesday \swednesday \sthursday \sfriday \ssaturday \ssunday.

The complete question is?

A week has how many ts?

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Answer:

Step-by-step explanation:

According to the given information, the value of the surface integral is 8/3.

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface integral of a vector field F over a surface S is given by:

∬S F ⋅ dS = ∬R (F ⋅ ru × rv) dA

where R is the parameter domain of the surface S, ru and rv are the partial derivatives of the position vector r(u,v) with respect to u and v, and dA = ||ru × rv|| dudv is the area element on the surface.

In this case, we want to evaluate the surface integral:

∫∫H 4y dA

where H is the helicoid given by the vector parametric equation:

r(u,v) = <u cos(v), u sin(v), v>, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π.

The position vector r(u,v) has partial derivatives with respect to u and v given by:

ru = <cos(v), sin(v), 0>

rv = <-u sin(v), u cos(v), 1>

The area element is given by:

dA = ||ru × rv|| dudv = ||<cos(v), sin(v), u>| dudv = u dudv

Therefore, the surface integral can be written as:

\($\int\int_H 4y dA = \int_0^{9\pi} \int_0^1 4(u\sin v)u dudv$\\$= \int_0^{9\pi} \sin v \int_0^1 4u^2 du dv$\)

\($= \int_0^{9\pi} \sin v \left(\frac{4}{3}\right) dv$\\$= \left[-\frac{4}{3} \cos v\right]_0^{9\pi}$\)

= 8/3

Hence, According to the given information the value of the surface integral is 8/3.

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Answer:

66 cubic centimeters

Step-by-step explanation:

volume is L x W x H

so 11 x 2 x 3

which equals 66

Answer:

66

Step-by-step explanation:

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

When the Richter scale rating is 2.5, the value of x (the period of waves) is approximately 5e-07 seconds, or 0.0000005 seconds.

The Richter scale is a logarithmic scale used to measure the magnitude or energy released by an earthquake. The scale is based on the amplitude of seismic waves recorded by seismographs. The formula to calculate the Richter magnitude is given by:

M = log10(A/T) + c

Where:

M is the Richter magnitude,

A is the maximum amplitude of seismic waves in micrometers,

T is the period of waves in seconds, and

c is a constant value.

In the case of an earthquake with a rating of 2.5, we can assume that M = 2.5. To find the value of x, we need to rearrange the formula and solve for x.

M - c = log10(A/T)

10^(M - c) = A/T

T = A / 10^(M - c)

Since the earthquake is not usually felt, we can assume a very small value for A. Let's assume A = 0.001 micrometers. The constant value c is typically around -2.8 for shallow earthquakes.

T = 0.001 / 10^(2.5 - (-2.8))

T = 0.001 / 10^5.3

T = 0.001 / 1995.262

T ≈ 5e-07 seconds

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The sample space of an event is the list of possible elements of the event.

The set elements are:

The given parameters are:

S = {x : 0 ≤ x ≤ 10}

A = {x : 0 < x < 5}

B = {x : 3 ≤ x ≤ 7}

(a) Ac

This represents the list of elements in the universal set not in set A.

So, we have:

Ac = {x : 0, 5 ≤ x ≤ 10}

(b) A ∩ B

This represents the list of common elements in sets A and set B.

So, we have:

A n B = {x : 3 ≤ x ≤ 4}

(c) A ∪ B

This represents the list of all elements in sets A and set B, without repetition.

So, we have:

A ∪ B = {x : 0 < x ≤ 7}

d) A∩Bc

Given that:

B = {x : 3 ≤ x ≤ 7}

So, we start by calculating B^c i.e. the list of elements in the universal set not in set B.

So, we have:

Bc = {x : 1, 2, 8 ≤ x ≤ 10}

A∩Bc would then represent the list of common elements in sets A and set Bc

So, we have:

A∩Bc = {x : 1 ≤ x ≤ 2}

(e) A^c ∪ B

In (a), we have:

Ac = {x : 0, 5 ≤ x ≤ 10}

Given that:

B = {x : 3 ≤ x ≤ 7}

A^c ∪ B would then represent the list of all elements in sets Ac and set B

So, we have:

A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}

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We have proved that quadrilateral ABCD is a square below.

The perimeter of ABCD = 4 × AB

The area of ABCD= (AB)² .

A square is a two-dimensional, four-sided shape with all sides of equal length and all angles of 90 degrees. I

Proof that Quadrilateral ABCD is a Square:

We can prove that quadrilateral ABCD is a square by using the properties of a square.

A square is also a quadrilateral with four equal sides and four right angles.

In the image, we can see that side AB = side CD, and side AD = side BC.

Furthermore, we can see that the angles A, B, C, and D are all right angles=90 degree

This means that the quadrilateral ABCD is a square.

Finding the Perimeter of ABCD:

The perimeter of a square is equal to the sum of its four sides.

In the image, we can see that the sides AB, CD, AD, and BC are all equal. Therefore, the perimeter of ABCD=

4 × AB

= 4 × CD

= 4 × AD

= 4 × BC.

Finding the Area of ABCD:

The area of a square is equal to the length of one of its sides squared. In the image, we can see that the sides AB, CD, AD, and BC are all equal. Therefore, the area of ABCD= (AB)²

= (CD)²

= (AD)²

= (BC)².

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We have proved that quadrilateral ABCD is a square below.

Perimeter of ABCD is 4 × AB

The area of ABCD= (AB)².

A square is a two-dimensional, four-sided shape with equal-length edges and 90-degree angles on each side.

The quadrilateral ABCD is a square, therefore:

Using the characteristics of a square, we can demonstrate that the parallelogram ABCD is a square.

A quadrilateral with four equal edges and four right angles is a square.

As seen in the picture, side AB corresponds to side CD and side AD corresponds to side BC.

In addition, we can see that the orientations A, B, C, and D are all 90-degree right angles.

The parallelogram ABCD is a square as a result.

Finding ABCD's Perimeter:

The sum of a square's four edges determines its perimeter.

The sides AB, CD, AD, and BC are equal on the picture, as can be seen. Consequently, the ABCD boundary

4 × AB

= 4 × CD

= 4 × AD

= 4 × BC

Finding the Area of ABCD:

A square's area is equivalent to the square of one of its sides. The sides AB, CD, AD, and BC are equal on the picture, as can be seen.

Consequently, ABCD's area equals (AB)².

= (CD)²

= (AD)²

= (BC)².

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The clear image of quadrilateral attached below,

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

Nesaccary . 2. 3

Step-by-step explanation:

Answer:

Radius because to calculate the radius it is much simpler to find than the angle. It would require very complex tools to calculate the degrees back then. Thus radius came first.

Hope I helped!

Answer:

0.01

Step-by-step explanation:

There is 2 zeros in 100 so:

0.01

Answer:

I would need the number that is being increased by 30% to get the answer.

Step-by-step explanation:

Sorry

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

The solution for v in the equation is v = -48

The equation is given as:

v over 6 minus 3 equals negative 11

Rewrite properly as

v/6 - 3 = -11

Add 3 to both sides

v/6 = -8

Multiply both sides by 6

v = -48

Hence, the solution for v in the equation is v = -48

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Answer: the answer is v=48 hope this helps!!

Answer:

D) (-9,-3)

Step-by-step explanation:

4(3y)-3y=-27

12y-3y=-27

9y=-27

y=-3

x=3(-3)=-9

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

-2x - 6

Step-by-step explanation:

I used a calculator :)

The answer is number 3

-2x-6

Hope this helps

Answer:

Step-by-step explanation:Homework Progress

22 / 77

P and Q are points on the line 3y - 4x = 12

a) Complete the coordinates of P and Q.

P (0,4

,0)

b) Plot points P and Q on the graph.

Use the tool to plot the coordinates.

c) Draw the line 3y - 4x = 12 for values

of x from -3 to 3.

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

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The choices that are equivalent to the expression 4√3 will be ✓48 and ✓24.✓2.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

4✓3 will be:

= ✓4² × ✓3

= ✓48

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Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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