In the diagram of right triangle ABC shown below, AC = 59 and length of x, to the nearest tenth.

There have been more than 500 Iron Age bog bodies and skeletons recovered in Denmark alone, with additional finds made in Germany, the Netherlands, the United Kingdom, and Ireland. These discoveries date from between 800 B.C. and 200 A.D.

The term “quaking bog” refers to the unstable surface of the bog, which will sink slightly beneath a weight. Even the plants may be through to reach the water below. This is how both people and animals have drowned. If the peat is dense and spongy, non-floating bogs may also tremble.

here, we have,

Boggy body reports first appeared in the early 18th century. More than 1,850 bog remains were catalogued by the German scientist Alfred Dieck in 1965, however subsequent research showed that Dieck made many errors in his work.

Before cutting into the peat, ground-penetrating radar can be used to locate bodies and artifacts beneath the surface of bogs.

Therefore, people find bog bodies looking for peat for fuel. it's something along those lines.

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Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

Answer:(1,2)

Step-by-step explanation:

The image of point P = (2, -1) is (1, 2)

For given question,

We have been given a point P = (2, -1)

We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)

So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)

Therefore, the image of point P is (1, 2)

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Answer:

960 cm³ I think it may be correct

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

Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

Answer:

a. 4.00

b. 3.00

I hope this helps

Answer:

75

Step-by-step explanation:

Answer:

75,000,000

Step-by-step explanation:

first what we do is we do 10^5 which could also be seen as

10*10*10*10*10=100,000

now we times that by 3

100,000*3=300,000

and now divide by 4

300,000÷4=75,000

now times 75,000 by 10^3 (10*10*10=1,000)

75,000*1,000=

75,000,000

75,000,000 is your answer

Answer:

A cylinder

Step-by-step explanation:

When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.

Answer:

CYLINDER

Step-by-step explanation:

Answer:

[tex]x = \frac{50 + 92}{2} = 71[/tex]

Answer:

x = 2

4 x 4 = 16

25% of 16 = 4

2 x 2 = 4

i chose 2 bc i said it x -= 25% of the larger squares area meaning it would be 2

Step-by-step explanation:

Answer:

x = 4/5

FILLER FILLER FILLER

Answer:

x < 11

Step-by-step explanation:

-9x + 40 > -59

Subtract 40 from each side.

-9x > -99

Divide by -9 on each side. (flip the symbol)

x < 11

Answer:

please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others

Step-by-step explanation:

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

120 - 68.544 =

51.456

360 ===》 120 - ( 360 × 0.1428 ) =

120 - 51.408 =

68.592

_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

Answer:

I belive the answer for the first box is 9.67

I belive the answer for the second box is 71.

I hope I helped

Answer:

72 and -2

Step-by-step explanation:

x - y = 74

2x + 3y = 138

x - y = 74

y = x - 74

2x + 3(x - 74) = 138

2x + 3x - 222 = 138

5x = 360

x = 72

x - y = 74

72 - y = 74

-y = 2

y = -2

Answer:

12

Step-by-step explanation:

hi

Equation which describe relationship between total cost and number of t-shirt is    [tex]c(t)=75.93e^{0.06t}[/tex].

Data given are ,

Number of t-shirt (t)                  total cost c(t)

12                                            156

17                                             211

22                                            266

According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.

Let,        [tex]c(t)=Ae^{kt}[/tex]

Substitute ,   t=12  and c(t) = 156

We get,     [tex]156=Ae^{12k}.......(1)[/tex]

Substitute ,  t=17 and c(t) = 211

We get,     [tex]211=Ae^{17k} ........(2)[/tex]

After solving above equations.

We get,    A = 75.93  and  k = 0.06

Thus,     [tex]c(t)=75.93e^{0.06t}[/tex]

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Answer:

19

Step-by-step explanation:

hope this helps with the problem

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

Answer:

C

Step-by-step explanation:

I believe the answer would be C because its the only actual line on a graph.

A Is a line segment

D is a ray

(I'm not sure what the exact name for the one on graph B is.)

Answer:

the answer ic C!

Step-by-step explanation:

AP EX

Answer:

Step-by-step explanation:

c circle

Answer:

-6 2/3

Step-by-step explanation:

Answer:

z = 20 , x = 5

Step-by-step explanation:

Answer:

[tex]A = 74.7^\circ[/tex]

[tex]B = 42.5^\circ[/tex]

[tex]C = 62.8^\circ[/tex]

Step-by-step explanation:

Given

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

Required

The measure of each angle

First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]

[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]

[tex]d = \sqrt{45[/tex]

So:

[tex]AB = \sqrt{45[/tex]

For BC

[tex]B = (2,8) \to (x_2,y_2)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]

[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]

[tex]BC = \sqrt{53[/tex]

For AC

[tex]A = (-1,2) \to (x_1,y_1)[/tex]

[tex]C = (4,1) \to (x_3,y_3)[/tex]

[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]

[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]

[tex]AC = \sqrt{26[/tex]

So, we have:

[tex]AB = \sqrt{45[/tex]

[tex]BC = \sqrt{53[/tex]

[tex]AC = \sqrt{26[/tex]

By representation

[tex]AB \to c[/tex]

[tex]BC \to a[/tex]

[tex]AC \to b[/tex]

So, we have:

[tex]a = \sqrt{53[/tex]

[tex]b = \sqrt{26[/tex]

[tex]c = \sqrt{45[/tex]

By cosine laws, the angles are calculated using:

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]

[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]

[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]

[tex]53 = 26 +45 - 68.42 * \cos A[/tex]

Collect like terms

[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]

[tex]-18 = - 68.42 * \cos A[/tex]

Solve for [tex]\cos A[/tex]

[tex]\cos A =\frac{-18}{-68.42}[/tex]

[tex]\cos A =0.2631[/tex]

Take arc cos of both sides

[tex]A =\cos^{-1}(0.2631)[/tex]

[tex]A = 74.7^\circ[/tex]

[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]

[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]

[tex]26 = 53 +45 -97.67 * \cos B[/tex]

Collect like terms

[tex]26 - 53 -45= -97.67 * \cos B[/tex]

[tex]-72= -97.67 * \cos B[/tex]

Solve for [tex]\cos B[/tex]

[tex]\cos B = \frac{-72}{-97.67}[/tex]

[tex]\cos B = 0.7372[/tex]

Take arc cos of both sides

[tex]B = \cos^{-1}(0.7372)[/tex]

[tex]B = 42.5^\circ[/tex]

For the third angle, we use:

[tex]A + B + C = 180[/tex] --- angles in a triangle

Make C the subject

[tex]C = 180 - A -B[/tex]

[tex]C = 180 - 74.7 -42.5[/tex]

[tex]C = 62.8^\circ[/tex]

Answer:

30

Step-by-step explanation:

First, you have to convert 20% into a decimal.

Explanation:

20 ÷ 100 = 0.2

Now multiply 0.2 by 150

Explanation:

0.2 × 150 = 30.

Therefore, 20% of 150 is 30.