58 Find the missing angle measures: C 42 9 А. 10 B X х В. A 40 4 0 12 S 13 T 14 X 48 57 41 76 SIT 46

58 Find The Missing Angle Measures: C 42 9 . 10 B X . A 40 4 0 12 S 13 T 14 X 48 57 41 76 SIT 46

Answers

Answer 1

Let us first solve the triangle on the right side involving angle x.

Recall that the sum of angles in a triangle must be equal to 180°.

So we can write

[tex]\begin{gathered} 41+78+x=180 \\ 119+x=180 \\ x=180-119 \\ x=61\degree \end{gathered}[/tex]

Therefore, the angle x is equal to 61°

Now let us solve the triangle involving angle S and T.

Again applying the property that the sum of angles in a triangle must be equal to 180°

[tex]\begin{gathered} 48+57+S=180 \\ 105+S=180 \\ S=180-105 \\ S=75\degree \end{gathered}[/tex]

As you can see, the angle S and T form a straight line angle.

Recall that a straight line angle is equal to 180°

[tex]\begin{gathered} S+T=180 \\ 75+T=180 \\ T=180-75 \\ T=105\degree \end{gathered}[/tex]

Therefore, angle S = 75° and angle T = 105°

Now let us solve the remaining figure.

On the right side of the figure, apply the property that the sum of angles in a triangle must be equal to 180°

[tex]\begin{gathered} A+42+40=180 \\ A+82=180 \\ A=180-82 \\ A=98\degree \end{gathered}[/tex]

As you can see, the angles A and B are opposite angles.

We know that opposite angles are equal.

[tex]\angle A=\angle B=98\degree[/tex]

Now we know the angle B so let us apply the property that the sum of angles in a triangle must be equal to 180°

[tex]\begin{gathered} B+48+C=180 \\ 98+48+C=180 \\ 146+C=180 \\ C=180-146 \\ C=34\degree \end{gathered}[/tex]

Therefore, angle A = 98° and angle B = 98° and angle C = 34°


Related Questions

In a city in Ohio, the sales tax rate is 7.5%. If you buy a blanket for $22.00 and a pillow for $8.00, what is your total bill of the blanket and pillow including tax?

Answers

[tex]\begin{gathered} \text{The totall bill of the blanket and the pillow without tax is} \\ 22+8=30 \\ \text{ That is \$30 dollars, if we include tax, then} \\ 30+30\cdot0.075=30+2.25 \\ =32.25 \\ \\ \text{ The total bill including tax is \$32.25} \end{gathered}[/tex]

Which number is greater than 555,621,000?A.5.0 x 10*6B.6.2 x 10*7C.5.55621 x 10*7D.9.99 x 10*6

Answers

Given:

[tex]555,621,000[/tex]

Consider the individual options and compare them with the given number.

A.

[tex]5.0\times10^9[/tex][tex]\text{Use }10^9=1,000,000,000.[/tex]

[tex]5.0\times10^9=5.0\times1,000,000,000[/tex]

[tex]5.0\times10^9=5,000,000,000[/tex]

We know that

[tex]5,000,000,000>555,621,000[/tex]

This option is correct.

B.

[tex]6.2\times10^7[/tex]

[tex]\text{Use }10^7=10,000,000.[/tex]

[tex]6.2\times10^7=6.2\times10,000,000[/tex]

[tex]6.2\times10^7=62,000,000[/tex]

We know that

[tex]62,000,000<555,621,000[/tex]

This option is not correct.

C.

[tex]5.55621\times10^7[/tex]

[tex]\text{Use }10^7=10,000,000.[/tex]

[tex]5.55621\times10^7=5.55621\times10,000,000[/tex]

[tex]5.55621\times10^7=55,562,100[/tex]

[tex]55,562,100<555,621,000[/tex]

This option is not correct.

D.

[tex]9.99\times10^6[/tex]

[tex]\text{Use }10^6=1,000,000.[/tex]

[tex]9.99\times10^6=9.99\times1,000,000[/tex]

[tex]9.99\times10^6=9,990,000[/tex]

[tex]9,990,000<555,621,000[/tex]

This option is not correct.

Final answer:

[tex]5.0\times10^9\text{ is greater than 555,621,000.}[/tex]

Option A is correct.

The net of a square pyramid is shown below. What is the surface area of the pyramid?

Answers

Answer:

qt 456u8u64t3544

Step-by-step explanation:

for wicks watchful warships x

Supposed that you purchased an old property for $120,000. You decide to mark
up the value by 40% before you put it on the market. If your real estate agent
charges 5.5% commission on the sale, how much did you make on the sale?

Answers

Answer:

158,760$

Step-by-step explanation:

120,000$ + 40%=168,000$-5.5%=158,760$

(b) The area of a rectangular pool is 8075 m².If the length of the pool is 95 m, what is its width?Width of the pool: ]m

Answers

The area of a rectangle is:

[tex]A=wl[/tex]

where w is the width and l is the length. Plugging the values we have and solving for w:

[tex]\begin{gathered} 8075=95w \\ w=\frac{8075}{95} \\ w=85 \end{gathered}[/tex]

Therefore the width is 85 meters.

Solve the inequality for x.21 > x+2Simplify as much as posible.

Answers

The given inequality is 21>x+2.

The inequality can be solved as,

[tex]\begin{gathered} 21>x+2 \\ 21-2>x \\ 19>x \\ x\in(-\infty,19). \end{gathered}[/tex]

Thus, the above expression gives the required solution for the inequality.

The graph shows the mass of the bucket containing liquid depends on the volume of liquid in the bucket. Use the graph to find the range of the function.

Answers

The range of the function is determined as 1 ≤ M ≤ 6.5 kg.

What is range of a function?

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Also we can defined a domain of a function as all the possible values that go into a function.

From the  graph the range of the function of the mass of the bucket is calculated as follows;

The minimum value of the mass of the bucket = 1

The maximum value of the mass of the bucket = 6.5 kg

The range of the function (mass, M of the bucket) = {1, 2, 3, 4, 5, 6.5 kg}

1 ≤ M ≤ 6.5 kg

Thus, the range of the function includes numbers ranging from 1 to 6.5 kg. That is  {1, 2, 3, 4, 5, 6.5 kg}.

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How many points of intersection are there between the graphs of the two hyperbolas?

Answers

The graphs of the hyperbola have zero point of intersection.

What is the point of intersection?

The point of intersection is the point where two or more functions meet.

The given parameters;

3x² – 4y² + 4x – 8y +4= 0

3x² + y² + 4x – 3y +4= 0

To find the points of intersection, we simply equate both equations.

So;

3x² – 4y² + 4x – 8y +4= 3x² + y² + 4x – 3y +4

Now Cancel out the common terms

y² - 3y = - 4y² - 8y

Collect like terms;

y² + 4y²=  3y - 8y

5y² = - 5y

Divide through by 5

y² = -y

Divide through by y

y = -1

Hence, the graphs of the hyperbola have zero point of intersection.

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An investment grows by 4% per year for 5 years. By what percent does it increase over the 5-year period?

Answers

20% Return on Investment
20% return on investment

Selena was comparing the flying seeds of different birds in science class. which of the three words why faster why?select the correct response 1. the blue jay Five Spices because it's rate is 20 m/s2. the Cardinal flies fast is because it's right is 10 m/s3.the robin Place passes because it's rate is 15 m/s4.they all fly at a rate of 10 m/s

Answers

Selena was comparing the flying seeds of different birds in science class.

Which of the three words why faster why?



Select the correct response



1. the blue jay Five Spices because it's rate is 20 m/s



2. the Cardinal flies fast is because it's right is 10 m/s



3. The robin Place passes because it's rate is 15 m/s



4.they all fly at a rate of 10 m/s​

____________________________

The slope, in this case, expresses the variation of the distance with respect to time (that is, the speed).

Comparing the slopes

Blue Jay's Flight

slope 10 m/s

__________________

Robin's Flight

slope = (y1-y2)/ (x1-x2)

Selecting the points (x, y)

Point 1 (2, 30)

Point 2 (6, 90)

slope = (90- 30) m / (6-2 )s

=(60)/ 4

= 15 m/s

_______________________________

Answer

3. The robin Place passes because it's rate is 15 m/s

_______________________________

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Rita, Goran, and Kareem have a total of $93 in their wallets. Rita has $7 more than Goran. Kareem has 2 times what Rita has. How much do they have in their wallets?

Answers

Goran has $18 in his wallet. Rita has $25 and Kareem has $50 in his wallet.

What is basic algebra?

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.

Let the amount Goran have = X

Then, the amount Rita have= x+7

Then, Kareem has the amount = 2(x+7)

According to question

The total money three of them have = $93

Therefore,

x+x+7+2(x+7) = 93

2x + 7 + 2x + 14 = 93

4x+21= 93

4x= 93-21

4x= 72

x= 18

So,

Goran has $18 in his wallet

Rita have $ 18 +37= $25 in her wallet

Kareem has 2 × 25 = $50 in his wallet

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The mass of a bull is 325 kg. This is 175 kg more than the mass of a calf. The mass of a calf is 107 kg less than the mass of a cow.
Calculate the mass of a cow

Answers

Answer:

257 kg

Step-by-step explanation:

Hello!

Given Info:Bull = 325 kgCalf = 175 kg less than BullCow = 107 kg more than the calf

Calf:325 - 175150

Cow:150 + 107257

The mass of the cow is 257 kg.

m multipled by the square of n

Answers

Answer:

mn²

Step-by-step explanation:

the square of n is n² and m multiplied by this is

mn²

Multiple choice triangle. im pretty sure its pythagorean theorem but please let me know

Answers

To solve this triangle, we cannot use either the Pythagorean Theorem or the Law of Cosines. We need more information.

Conversely, we can use SOHCAHTOA, in the sense that we can use the SOH part of this (Sine = opposite side over hypotenuse), that is, we can use angle 33 as the reference angle, and we have a right triangle here. Then, using trigonometric ratios, we can use:

[tex]\sin (\theta)=\frac{opp}{hyp}\Rightarrow\sin (33)=\frac{x}{29}\Rightarrow x=29\cdot\sin (33)\Rightarrow x=15.7945[/tex]

We also can use the Law of Sines to solve it:

[tex]\frac{x}{\sin(33)}=\frac{29}{\sin(90)}\Rightarrow\frac{x}{\sin(33)}=\frac{29}{1}\Rightarrow x=29\cdot\sin (33)\Rightarrow x=15.7945[/tex]

Therefore, we can solve this triangle using both Law of Sines and SOHCAHTOA. (We can select two options: c and d.)

need help assap look in the picture

Answers

Answer:

8

Step-by-step explanation:

To find the perimeter, you must add the lengths of all sides.

In this question the perimeter is given, which is 63.


63 = 12 + 12 + 3x + 2x + 1 + x + 2


1. Add the numbers


63 = 12 + 12 + 3x + 2x + 1 + x + 2

12 + 12 + 1 + 2 = 27

63 = 27 + 3x + 2x + x

2. Combine Like Terms

63 = 27 + 3x + 2x + x

x = 1
3x + 2x + 1x = 6x

63 = 27 + 6x


3. Move Variable to the left

63 = 27 + 6x

63 = 6x + 27


4. Subtract 27 from both sides, the opposite of adding 27


63 = 6x + 27

63 - 27 = 6x + 27 - 27

36 = 6x


5. Divide by the same factor, the opposite of multiplying 6


36 = 6x

36/6 = 6x/6


6. Cancel out the 6s but leave the x

36/6 = 6x/6

x = 6


So, now that we know that x = 6 we can solve the expression, x + 2, to find out the length of the side BC.


6 + 2 = 8

Give a formular on how to calculate growth rate

Answers

Answer:

Straight-line percent change method example

Growth rate = (489 - 402) / 402. Absolute change = 87 (489 - 402) Growth rate = 0.2164 (87 / 402) Percent change = 21.64% (0.2164 x 100)

Find the volume of the solid to the nearest unit. 13 A 6 A drawing not to scale 3 O 546 ft 3 O 1092 ft 3 O 273 ft 3 O 422 ft

Answers

Volume = Area of the base * height

Area of the base = (7 * 6) / 2

Area of the base = 42/2

Area of the base = 21ft^2

Volume of the prism = 21 * 13

Volume of the prism = 273 ft^3 The thi

What are the coordinates of the point? Responses (−2, 4) begin ordered pair negative 2 comma 4 end ordered pair (4, −2) begin ordered pair 4 comma negative 2 end ordered pair (−4, −2) begin ordered pair negative 4 comma negative 2 end ordered pair (2, 4) begin ordered pair 2 comma 4 end ordered pair A coordinate grid with a dot placed in the second quadrant. The dot is to the left of positive 4 on the y axis and above negative 2 on the x axis Skip to navigation

Answers

The coordinates of the point are (-2,4)

A coordinate grid has two lines perpendicular to each other referred to as the Axis, labeled a bit like number lines. The horizontal axis is ordinarily called the x-axis. The vertical axis is ordinarily called the y-axis. The origin is the point where the x- and y-axis meets. The numbers on a coordinate lattice are utilized to find points. Each point can be identified by a requested combination of numbers; that's, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. The requested sets are composed in enclosures (x-coordinate, y-coordinate).

For the given point, the x-coordinate is -2 on the negative x-axis, and y - coordiante is 4 on the positive y-axis.

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A car travels for 15km in a city at a Certain speed-Dutside the city it travels 72km at twice its former speed. If the total travelling time is 1hour 8minutes find the average speed .​

Answers

If the total traveling time is 1 hour 8 minutes f the average speed is 45 km/h.

This is a problem from time and distance. We can solve this equation by following a few steps.

Let's assume the car travel in the city for t minutes and the average speed is v.

According to the question, the car travel outside the city for, (68- t) minutes as 1 hour 8 minutes is equal to 68 minutes.

Therefore, the average speed (v) in the city = 15/t km/minute as v = s/t where v represents the speed, t represents the taken time and s represents the distance.Hence, the speed outside the city = 72/(68- t) km/minute.

As per the question, Outside the city, it travels at twice its former speed v.

Now, we can form an equation,  2 (15/t) =  72/(68- t).

Let's simplify the given equation. 30/t = 72/(68- t)

Or, 72t = 30(68- t)                 [cross multiplication]

Or, 72t = 2040 - 30t

Or, 102t = 2040                    [add with +30t both sides]

Or, t = 2040/102    

Or, t = 20                              [dividing by 102 both sides]

Therefore we can conclude that the average speed ( km/h) is (15×60) / 20 = 45 km/h.

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The ratio of 1.2 to 29 is the same as the ratio of 4.8 to

Answers

Answer:

  116

Step-by-step explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Setup

Equivalent ratios can be written as a proportion:

  1.2/29 = 4.8/x

Solution

Multiplying by 29x, we have ...

  1.2x = 29(4.8)

Dividing by 1.2 gives ...

  x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

__

Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

  [tex]\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}[/tex]

ill give brainliest if i can have help, i am having trouble turning on axis, can someone explain? (refer to image somewhere lol)

Answers

Answer:

a=2,-2 b=-5,-1 c=-1,-2

Step-by-step explanation:

you just put the shape the opisite way

magine,... L Free Games Online. Online Voice Recon What is the circumference of a circle with a radius 5 square un 50 m square units quare units

Answers

The distance around a circle is known as the circumference, by definition.

(a)A circle has a radius of 12cm. If the radius is increased by a factor of 7, how's many times larger will the circle's circumference be? (b)What is the scale factor of the circumference of a circle with a radius of 3 when compared to the original circle? Write your answer as a decimal to the nearest hundredth.

Answers

(a)

The circumference of a circle is found using the formula,

[tex]C=2\pi r[/tex]

Where

C is the circumference

r is the radius

A circle has radius 12 cm, so its circumference is

[tex]\begin{gathered} C_1=2\pi r \\ C_1=2\pi(12) \\ C_1=24\pi \end{gathered}[/tex]

When the radius (12 cm) is increased by a factor of 7, we mean the radius is 7 times the original, so, the new radius is

[tex]7\times12=84[/tex]

So, the circumference of this circle will be >>>>

[tex]\begin{gathered} C_2=2\pi r \\ C_2=2\pi(84) \\ C_2=168\pi \end{gathered}[/tex]

To find how many times larger this circumference is of the previous one, we divide,

[tex]\frac{C_2}{C_1}=\frac{168\pi}{24\pi}=7_{}[/tex]

Answer7

(b)

Using the circumference formula, we can find the circumference of this circle,

[tex]\begin{gathered} C=2\pi r \\ C=2\pi(3) \\ C=6\pi \end{gathered}[/tex]

The original circle had a circumference of 24π

The question basically asks "how many times is the circumference of this circle compared to the circumference of the original circle?"

Of couse, it will be less than 1 since this circle is smaller than the original one.

So,

[tex]\begin{gathered} \frac{6\pi}{24\pi} \\ =\frac{1}{4} \end{gathered}[/tex]

So, the scale factor is 1/4, or 0.25

Answer0.25

for which values of (A) the system has at least one solution

Answers

Answer

The values of a that ensures that the system has at least one solution is

a > (21/127)

Explanation

We are told to find the values of a that ensures that the system has at least one solution. The system of equations include

3 (a - 5x) < 1 + x

2 - (x/2) > 3 + 5 (x - a)

To do this, we need to solve the expressions

3 (a - 5x) < 1 + x

3a - 15x < 1 + x

We can rewrite this as

1 + x > 3a - 15x

x + 15x > 3a - 1

16x > 3a - 1

Divide both sides 16

[tex]\begin{gathered} \frac{16x}{16}>\frac{3a-1}{16} \\ x>\frac{3a}{16}-\frac{1}{16} \end{gathered}[/tex]

We then solve the second one. But to do this, let's multiply through by 2

2 - (x/2) > 3 + 5 (x - a)

4 - x > 6 + 10 (x - a)

we can rewrite as

6 + 10 (x - a) < 4 - x

6 + 10x - 10a < 4 - x

10x + x < 10a - 6 + 4

11x < 10a - 2

Divide both sides by 11

[tex]\begin{gathered} \frac{11x}{11}<\frac{10a-2}{11} \\ x<\frac{10a}{11}-\frac{2}{11} \end{gathered}[/tex]

The two solutions are

x > (3a/16) - (1/16)

x < (10a/11) - (2/11)

To find a lasting solution, we need the inequality sign to be the same, so, we need to multiply through one of the equations by -1

x > (3a/16) - (1/16)

-x < (-3a/16) + (1/16)

So, the system of equations become

-x < (-3a/16) + (1/16)

x < (10a/11) - (2/11)

We can then add the two equations

-x + x < (-3a/16) + (1/16) + (10a/11) - (2/11)

0 < (-3a/16) + (10a/11) + (1/16) - (2/11)

0 < -0.1875a + 0.9091a + 0.0625 - 0.1818

0 < 0.7216a - 0.1193

Rewrite

0.7216a - 0.1193 > 0

0.7216a > 0.1193

Divide both sides by 0.7216

(0.7216a/0.7216) > (0.1193/0.7216)

a > 0.1653

a > (21/127)

Hope this Helps!!!

Flan- servers 10 people; $10.85 per person 1/8 teaspoon salt.1(12 fluid once) 1 teaspoon vanilla1/4 cup brown sugar

Answers

Filling with the information given, we have:

Multiply the original recipe by 10 (Since we have to serve 10 people)

New recipe:

Salt: 1/8 x 10 = 10/8 = 5/4 (Multiplying fractions and simplifying)

5/4 = 1 1/4 ( Converting the fraction to a mixed number)

Evaporated milk : 1 x 10 = 10 cans.

Vanilla: 1 x 10 = 10 teaspoons.

Brown sugar: 1/4 x 10 = 10/ 4 = 5/2 (Multiplying fractions and simplifying)

5/2 = 2 1/2 (Converting the fraction to a mixed number)

The values of the new recipe are:

Salt: 1 1/4

Evaporated milk: 10 cans

Vanilla: 2 1/2 teaspoons

Brown sugar: 2 1/2 cups

please help me again )))))))))

Answers

Answer: -14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

Answer:

-14/5, -2.25, 1 1/4, 3/2

Step-by-step explanation:

I double-checked, and I believe it's correct.

P.S, if I could get Brainliest, it'd mean a lot to me! Thanks!

You are designing a rectangular poster to contain 70 cm2 of printing with a 2 cm margin at the top and bottom and a 4 cm margin on the left and right. Determine, to two decimal places, the length of the poster required so as to minimize the amount of paper used.

Answers

The dimension of minimum paper size would be 18 inches by 9 inches.

What dimensions will minimize the amount of paper used?

Let the paper size be x inches in length and y inches in width.

The length of the printed space would be x-8 inches and width would be y-4 inches.

Print area would thus be (x-8)(y-4)=50.

From this [tex]$y=4+\frac{50}{x-8}=\frac{4 x+18}{x-8}$[/tex]

Also from the same equation on simplifying, it is x y-8 y-4 x+32=50.

Since the area of the paper of size x inches by y inches is xy, let it be denoted as A.

Thus

[tex]$A-8 y-4 x=18$[/tex] Or [tex]$A=8 y+4 x+18$[/tex]

[tex]$A=\frac{32 x+144}{x-8}+4 x+18$[/tex].

For minimum paper size [tex]$\frac{d A}{d x}$[/tex] must be =0, hence,

[tex]$\frac{d A}{d x}=\frac{32(x-8)-(32 x+144)}{(x-8)^2}+4=0$[/tex]

[tex]$\frac{-400}{(x-8)^2}+4=0$[/tex]

(x-8)² = 100

x-8 = 10

[tex]$\mathrm{x}=18$[/tex], hence [tex]$\mathrm{y}=4+\frac{50}{x-8}=9$[/tex]

Dimension of minimum paper size would be 18 inches by 9 inches.

The complete question is:

You are designing a rectangular poster to contain 50 in^2 of printing with a 4-in. margin at the top and bottom and a 2-in margin at each side. What overall dimensions will minimize the amount of paper used?

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i need help with this question

Answers

Answer:

58.29 cm^2

Step-by-step explanation:

The area of a trapezium is calculated with the following formula:

[tex] \frac{a + b}{2} \times h[/tex]

(a: base, b: base, h: height)

[tex] \frac{ 7 + (10.4)}{2} \times (6.7) \\ \\ \frac{17.4}{2} \times (6.7)[/tex]

get rid of fraction by dividing (17.4) with 2

(17.4)÷2 = 8.7 multiply this with height

(8.7) × (6.7) = 58.29

The area of the given trapezium is 58.29 cm².

What is a trapezium?In American and Canadian English, a quadrilateral with at least one pair of parallel sides is referred to as a trapezoid. A trapezium is a term used for a trapezoid in British and other varieties of English. These two terms were transposed due to a typo in Charles Hutton's mathematical dictionary.

So, the area of the trapezium:

Formula: (a+b)/2 × hWhere, a = 7, b = 10.4 and h = 6.7.

Solve as follows:

(a+b)/2 × h(7 + 10.4)/2 × 6.717.4/2 × 6.78.7 × 6.758.29 cm²

Therefore, the area of the given trapezium is 58.29 cm².

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A fisher finder shows a large fish at 13 ft below the surface and a smaller fish 4 ft below surface. what is the expressions that are equivalent to the distance between the fish

Answers

Answer:

Distance = 9 ft

Explanation:

We can represent the position of the large fish with the number -13 because it is 13ft below the surface. In the same way, we can represent the position of the smaller fish with the number -4.

Then, the distance between the fish will be the absolute value of the difference between their positions. So, the expressions that are equivalent to the distance between the fish are:

| - 13 - ( - 4) | = | - 13 + 4| = 9

or

| -4 - (- 13) | = | - 4 + 13 | = 9

Therefore the distance between the fish is 9 ft

A 45 kg skydiver has a speed of 25 m/s at an altitude of 950 meters above the ground. Determine the
kinetic energy possessed by the skydiver.

Answers

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

What is kinetic energy?

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

m is the mass of the objectv is the velocity of the object

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is  14, 062. 5 Joules

Learn more about kinetic energy here:

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