2-53. a message is released at 1930 hours greenwich mean time on 2 january 1991. what is the correctly stated date-time group (dtg) assigned to the me

The value of y is 50

The angle measurement of angle AOB is 100°

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the same segment are equal

In the given diagram, x° and y° are angles in the same segment

∴ x° = y°

From the given information,

x = 50

∴ y = 50

Hence, the value of y is 50

Also, from another circle theorem,

Angle at the center is twice the angle at the circumference

∴ ∠AOB = 2x° = 2y°

Then,

∠AOB = 2×50°

∠AOB = 100°

Hence, the angle measurement of angle AOB is 100°

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Using translation concepts, considering S(2,-1), the x-coordinate of S' is given by 6.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x, y) -> (x+4, y-2).

Considering S(2,-1), 4 is added to the x-coordinate in the translation, hence:

2 + 4 = 6.

The x-coordinate of S' is given by 6.

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Answer:

Image included:

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

45+88= 133

180-133=47

Answer:

always negative?

Step-by-step explanation:

-2^3=-8

Answer:

It is negative

Step-by-step explanation:

since you are multiplying the negative no. by itself an odd no. of times, your answer will be negative, b/c a negative no. multiplied an odd no. of times will be negative, and if it is multiplied an even no. of times it will be positive.

The sum of 0.89 and 1.11 will be 2. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Two 10 by 10 grids are shown.

In the first grid, 8 columns and 9 squares are shaded brown and 1 column and 1 square is shaded blue.

The second grid is entirely shaded blue

Then the sum of 0.89 and 1.11 will be

⇒ 0.89 + 1.11

⇒ 2.00

Then the correct option is D.

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An expression is defined as a set of numbers, variables, and mathematical operations. The statements that are true are 1, 3, and 5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

For the given expression 4x + 9 - y(6x + 7), the following things are can be written,

Thus, the statements that are true are:

Hence, the statements that are true are 1, 3, and 5.

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Answer:

A.

Step-by-step explanation:

The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.

Answer: 3

Step-by-step explanation:

The required polar form of the equation is [tex]Z = 5/2cos30 - 5/2sin30i.[/tex]

For the complex number z = (5sqrt(3))/4 - 5/4 * i the polar form is to be determined.

The number that constitutes real and imaginary numbers are called complex numbers. The standard form of complex number = a + bi

[tex]z = 5\sqrt{3}/4 - 5/4i[/tex]
the polar form complex numbner  can be given as
[tex]z = rcos\theta +rsin\theta i[/tex]   - - - - - -(1)
where r = [tex]\sqrt{a^2+b^2}[/tex]
and [tex]\theta=tan^-\frac{b}{a}[/tex]

Since a = 5√3/4 and b = -5/4
[tex]r = \sqrt{(5\sqrt{3}/4)^2+(5/4)^2}[/tex]
r = 10/4
r = 5/2
Now,
[tex]\theta=tan^-\frac{b}{a}[/tex]
[tex]\theta=tan^-\frac{-5/4}{5\sqrt{3}/4 }\\\theta=tan^-\frac{1}{\sqrt{3} }\\\theta=tan^-(-tan30)\\\theta=-30[/tex]

Now the polar form is given by substituting the values of r and [tex]\theta[/tex] in equation 1
Here,
[tex]z = 5/2cos30 +5/2sin(-30)i\\z = 5/2cos30-5/2sin30 i[/tex]

Thus, the required polar form of the equation is [tex]Z = 5/2cos30 - 5/2sin30i.[/tex]

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Answer:

3x³ + 12x

Step-by-step explanation:

→ Multiply 3x by x²

3x³

→ Multiply 3x by 4

12x

Answer:

1200 bats

Step-by-step explanation:

78 - 39 = 39

600 x 2 = 1200(bats).

Answer:

[tex]13\frac{1}{3} \pi[/tex]

Step-by-step explanation:

First, find the area of the small circle whose radius is 3cm.

[tex]A = \pi r^{2} \\A = \pi (3^{2})\\A = \pi (9)\\A = 9\pi \\[/tex]

Next, find the area of the large circle. First, you need to find the radius of the large circle by adding the 3 and 4.

Radius of large circle.

3 + 4 = 7 cm

Area of large circle:

[tex]A = \pi r^{2} \\A = \pi (7^{2})\\A = \pi (49)\\A = 49\pi \\\\[/tex]

Now subtract the area of the small circle from the large circle since the shaded area doesn't include the small circle.

[tex]49\pi -9\pi =40\pi[/tex]

Finally find the shaded area. To do this first find what degree of the circle is shade by dividing 120 by 360.

120/360 = 1/3

Now multiply the area by 1/3, or you can divide it by 3

[tex]\frac{40\pi }{3} =13\frac{1}{3} \pi[/tex]

Answer:

  6.  80

  7.  60

  8.  100

  9.  40

  10.  110

Step-by-step explanation:

A box and whisker plot is a visual representation of the 5-number summary of a data set. The features of the plot are, left-to-right, the minimum, first quartile, median, third quartile, maximum.

You are being asked to identify the numerical value associated with each of these features.

__

The left whisker extends to the minimum of 40.

The left end of the box identifies the first quartile as 60.

The line in the middle of the box is the median, 80.

The right end of the box identifies the third quartile as 100.

The right whisker extends to the maximum of 110.

__

Additional comment

We hope you can rearrange the order of these numbers to suit the order in which the questions ask for them.

The distance Terry needs to run when the winner crosses the finish line is 1. 6 miles.

The race was a 10 km race and she has completed 74% of the race when the winner crosses the finish line.

Therefore, the number of more miles Terry need to cover can be calculated as follows:

74 / 100 × 10 = 740  / 100  = 7.4 km

He has covered 7.4 km.

The distance remaining to cover = 10 km - 7.4 km = 2.6 km

Therefore,

4km  = 2.48 miles

2.6 km = ?

cross multiply

The distance remaining to cover(miles) = 2.6 × 2.48 / 4

The distance remaining to cover(miles) = 6.448 / 4

The distance remaining to cover(miles) = 1.612

The distance remaining to cover(miles) = 1.6 miles

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The amount after 2 years will be 855.3248

Interest, in its most simple form, is calculated as a percent of the principal.

Given:

P= £800 , r= 3.4%, t= 2 year

For, compounded annually

=800*(0.034+1)²

=800* 1.034*1.034

=800* 1.069156

=855.3248

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Answer: A right angle

Step-by-step explanation:

Perpendicular lines form right angles

Answer:

90 degree

Step-by-step explanation:

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:

= (1520 - 1232)/1232

= 288/1232

= 0.234

The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:

= (1448 - 1333)/1333

= 115/1333

= 0.086

The regional governing board that should receive the new board member is Salinas.

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the third one

Step-by-step explanation:

Answer:

calculating beats per minute

Answer:

the first option

Step-by-step explanation:

f(c)= 1/3p + 5/3

Answer:

50%×€80

50/100×80

€40

Step-by-step explanation:

please mark me as brainlest

Answer:

£40

Step-by-step explanation:

▪︎ Method I:

£80 - 100%

£x - 50%

x = (£80 * 50%) / 100% = £40

▪︎ Method II:

50% is one half

Therefore, 50% of £80 is £80 / 2 = £40

The equation of the function, g(x) from the task content is; g(x) = -x/25 + 203/25.

From observation of the function, f(x), it follows that the slope of f(x) is 25. Hence, it follows that the slope of g(x) is; -1/25 since both functions are perpendicular to each other.

Therefore, the equation for g(x) is;

-1/25 = (y-8)/(x-3)

25y -200 = -x +3

Hence, y = -x/25 + 203/25.

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Answer:

It's a sech x function

Step-by-step explanation:

Explanation is in attached file

The correct option is option B :    -4 ≤ x ≤ 1

Increasing and decreasing functions are functions whose graphs go upwards and downwards respectively as we move towards the right-hand side of the x-axis. Increasing and decreasing functions are also called non-decreasing and non-increasing functions.

Here, from graph

as we can observe from x = -4 graph starts increases upto x = 1 and after that graph becomes constant.

Thus, between x belongs -4 to 1 the graph is increasing.

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The operation that should be completed first to find the value of the expression is 6 - 3

The expression is given as:

12 + 30/(6 - 3) + 1

When solving an expression;

All expressions in the bracket must be first evaluated

This means that the operation that should be completed first is 6 - 3

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[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have given

Consider the given triangle as ABC . In ΔABC, AD acts as a median. It means Angle ADB = 90°

Therefore,

By using Pythagoras theorem,

That is,

[tex]\bold{ ( Hypotenuse) ^{2} = (Perpendicular) ^{2} + (base) ^{2}}[/tex]

Subsitute the required values

[tex]\sf{ AC^{2} = AB^{2} + BC^{2}}[/tex]

[tex]\sf{ (21)^{2} = (h) ^{2} + (16)^{2}}[/tex]

[tex]\sf{ 441 = (h)^{2} + 256}[/tex]

[tex]\sf{ (h)^{2} = 441 - 256}[/tex]

[tex]\sf{ h^{2} = 185}[/tex]

[tex]\sf{ h = \sqrt{185}}[/tex]

[tex]\bold{ h = 13.6 \: cm}[/tex]

Hence, The required height of the given isosceles triangle is 13.6 cm.

[ Note :- you can also solve this problem by using Heron's Formula but it's too lengthy to solve that's why I have used simple method ]

Answer:

switch the position

1/3πr²h=v

multiply all through by 3

3•1/3πr²h=3•v

3 will cancel out 3

πr²h=3v

divide both sides by πh

r²=3v/πh

root both sides

r=±√3v/πh

Answer:

c. I'm sorry if I'm wrong

Step-by-step explanation:

Let's solve ourselves instead of believing anyone

[tex]\\ \rm\Rrightarrow (x^2)^7=x^4x^8[/tex]

[tex]\\ \rm\Rrightarrow x^{14}=x^{4+8}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}=x^{12}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}-x^{12}=0[/tex]

[tex]\\ \rm\Rrightarrow x^{12}(x^2-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-1=0[/tex]

[tex]\\ \rm\Rrightarrow x^2=1[/tex]

[tex]\\ \rm\Rrightarrow x=\pm 1[/tex]

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

[tex](x^2)^?=x^4 \cdot x^8[/tex]

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

First, simplify the equation by applying exponent rules to either side of the equation:

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:[/tex]

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^{4+8}[/tex]

[tex]\implies x^{2y}=x^{12}[/tex]

Now, apply the exponent rule:

[tex]x^{f(x)}=x^{g(x)} \implies f(x)=g(x)[/tex]

Therefore,

[tex]x^{2y}=x^{12}\implies 2y=12[/tex]

Finally, solve for y:

[tex]\implies 2y=12[/tex]

[tex]\implies 2y \div 2 = 12 \div 2[/tex]

[tex]\implies y=6[/tex]

Therefore, Joe is correct as the unknown number is 6.