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Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

Answer:

√20 units

Step-by-step explanation:

[tex]Solution,\\\\\hookrightarrow Here,\\\\\hookrightarrow Coordinate\:of\::\\\\\hookrightarrow A(4,5),B(2,1),C(4,1)\\\\Now,\\\\Let,\\\\(x_1,y_1)=(4,5)\\\\(x_2,y_2)=(2,1)\\\\Using\:distance\:formula\\\\Distance\:of\:AB=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(-2)^{2}+(-4)^{2}} \\\\Distance\:of\:AB=\sqrt{4+16} \\\\Distance\:of\:AB=\sqrt{20}\: units[/tex]

Answer:

250g tin

Step-by-step explanation:

250g tin is 8.48g per R

750g tin is 10.77g per R

The greatest number of lines of symmetry that can be drawn on the figure will be C. 2.

The line of symmetry is defined as the axis or imaginary line that passes the center of the shape or object and divides it into identical halves.

Here, the greatest number of lines of symmetry that can be drawn on the figure will be 2. This means that if one was to fold the shape along the line, both halves would match exactly.

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Answer:

C.  0.8

Step-by-step explanation:

Write 7 as 7.00:

[tex]\begin{array}{ c c c c }& 0. & 7 & 7\\\cline{2-4} 9\:)&7.&0&0 \\-& 0 & \downarrow & \downarrow\\\cline{2-4} & 7 & 0 & \downarrow \\- & 6 & 3 & \downarrow\\\cline{2-4} & & 7 & 0\\& - & 6 & 3\\\cline{2-4} & & & 7\\\end{array}[/tex]

Therefore:

[tex]\sf \dfrac79=0.\.{7}=0.77777..=0.8\:(nearest\:tenth)[/tex]

Answer:(6, -4)

Step-by-step explanation: That’s where they meet at point B

Answer:

Answer:(6,-4)

Step-by-step explanation:

they meet at point B

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

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Add the percentage as a decimal

To 1 to get 1.20

Multiply:

340 x 1.20 = 408

Answer: 408

Answer:

3360 ways

Step-by-step explanation:

ABCDEFGH-- there are 8! ways to organize these letters

since the I is repeated 3 times and the L is repeated 2 times we have to divide by (3!*2!)

[tex]\frac{8!}{2!3!}[/tex]=3360

3360

Answer:

7

Step-by-step explanation:

Since the two L’s must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS has n = 7 letters: 3 I’s, 1 LL, 1 N, 1 O and 1 S. Hence the numbers of ways to permute letters of the word ILLINOIS if the two L’s must be consecutive is: 7!

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

   vertical lines have an 'undefined' slope....no slope

Answer:

24

Step-by-step explanation:

The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24

[tex]~~~~9x=28-5x\\\\\implies 9x +5x = 28\\\\\implies 14x = 28\\\\\implies x = \dfrac{28}{14}\\\\\implies x = 2[/tex]

Step-by-step explanation:

Given Equation,

[tex]\\ \longrightarrow \qquad \sf 9x=28-5x \\ \\ [/tex]

Now, Adding 5x to both sides we get :

[tex]\\ \longrightarrow \qquad \sf 9x + 5x=28-5x + 5x \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf 14x=28 \\ \\ [/tex]

Dividing 14 from both sides we have :

[tex]\\ \longrightarrow \qquad \sf \frac{14x}{ 14 } = \frac{28}{14} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf x=2 \\ \\ [/tex]

Therefore,

Answer:

[tex]g = \frac{b}{2} + 2 + h[/tex]

Step-by-step explanation:

[tex]2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h[/tex]

Answer:

Yes!!

Step-by-step explanation:

It is because -4 is smaller than 3. All negative numbers are smaller than positive ones. :)

Have an amazing day!!

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Answer:

A). x=3/4

Step-by-step explanation:

2(6-2x)-2x=2(5+x)-4

Rearrange terms,

2(6-2x)-2x=2(5+x)-4

2(-2x+6)-2x=2(5+x)-4

Distribute,

2(-2x+6)-2x=2(5+x)-4

-4x+12-2x=2(5+x)-4

Combine like terms,

-4x+12-2x=2(5+x)-4

-6x+12=2(5+x)-4

Rearrange terms,

-6x+12=2(5+x)-4

-6x+12=2(x+5)-4

Distribute,

-6x+12=2(x+5)-4

-6x+12=2x+10-4

Subtract the numbers,

-6x+12=2x+10-4

-6x+12=2x+6

Subtract 12 from both sides,

-6x+12=2x+6

-6x+12-12=2x+6-12

-6x=2x+6-12

-6x=2x-6

Subtract 2x from both sides,

-6x=2x-6

-6x-2x=2x-6-2x

-8x=2x-6-2x

-8x=-6

Divide both sides by the same factor ( -8),

-8x/-8=-6/-8

x=-6/-8

x=3/4

The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14

Compound interest

The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:

y = y0(1+r/n)^nx

where

x is the time taken

r is the rate in decimal

n is the compounding time

Given the following

x = 20 years

n  2(semi annually)

r  = 5.7% = 0.057

Substitute

y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40

y = 10000(1.0285)^40
y = 30,773.14

Hence the value of Christina’s investment after 20 years is $30,773.14

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Answer:

3(5+x)

Step-by-step explanation:

3(5 + x)

Answer:

See below ~

Step-by-step explanation:

Taking common factors

Factorize both the terms.

The common factor is 3.

Now, group them together and solve.

Answer:

160

Step-by-step explanation:

40 + 40 + 40 X 2=160

This is the answer

The measure of each smaller each angle is 30 degrees.

We have given that,

Oliver draws a straight angle, and then two rays to divide the angle into 3 equal parts.

The measure of the straight angle is 90 degrees.

Therefore we get a straight angle is 90 degrees.

we have to divide the straight angle into 3 equal parts.

that is, 90/3=30

Therefore each angle is 30 degrees.

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Answer:I need so much help with these two and quick if anybody can helpe out thanks.

Step-by-step explanation:

I need so much help with these two and quick if anybody can helpe out thanks.

Answer:

Step-by-step explanation:

6/2 = 3

3:6 =

1:2

Answer:

The answer is 3

Step-by-step explanation:

You have to subtract 120-45 and that gets you to 75 Then divide 75 by 15 and that gives you 3. So the answer is 3

Answer:

15n + 45 ≤ 120

n ≤ 5

She can buy up to 5 balloons.

Step-by-step explanation:

Fixed amount: $45

Amount per balloon: $15

Let n = number of balloons

Total expense: maximum of $120, which means less than or wequal to $120

15n + 45 ≤ 120

15n ≤ 75

n ≤ 5

She can buy up to 5 balloons.

Answer:

Annie:71

Step-by-step explanation:

Annie had the lowest because the scores go as said: 62,70,70,71,77,78,79

and you cross out the lowest and highest until you reach the middle

And for Katie: 0,89,93,93,95,100,100

crossing out until you reach the middle.

Step-by-step explanation:

y = x - 4

Let's look at this a different way.

Y will be 4 less than x, so if x was 5, y would be 1

(x, y)

0, -4

1, -3

2, -2

3, -1

4, 0

5, 1

(If more points are needed, just continue where I left off.)