is two displacement vectors add to give a total displace,ment of 0 what do you know about the two diplacemenst

Answer:

b= 8

Step-by-step explanation:

you use Pythagorean theorem to solve this problem

a² + b² = c²

since you already have a and c and you're missing b you rearrange the formula to:

[tex]c^{2}[/tex]-[tex]a^{2}[/tex] = b²

17² - 15² = b²

64² = b²

[tex]\sqrt{64}[/tex] = b

8 = b

Step-by-step explanation:

To find side b use Pythagoras theorem:

Hypotenuse²=Base²+Height ²

17²=B²+15²

289-225=B²

64=B²

√8=B²

So,

8 yards is Side B

Now,

We can use Heron's Formula

√S(S-A) (S-B) (S-C)

Let's find semi perimeter

17+15+8/2

40/2=20

So, S=20

Let A=8,B=15,C=17

√20(20-8) (20-15) (20-17)

√20×12×5×3

√2×2×5×5×2×2×3×3 (Factorising the numbers)

2×5×2×2×3

120 yards Answer

hope it helps...

Given:

[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=6, BD=4, BC=2, DE=x[/tex].

To find:

The value of x.

Solution:

In triangles ABC and ADE,

[tex]\angle B\cong \angle D[/tex]              (Right angles)

[tex]\angle A\cong \angle A[/tex]              (Common angles)

[tex]\Delta ABC\sim \Delta ADE[/tex]              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]

[tex]\dfrac{6}{(6+4)}=\dfrac{2}{x}[/tex]

[tex]\dfrac{6}{10}=\dfrac{2}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{2}{x}[/tex]

On cross multiplication, we get

[tex]3\times x=5\times 2[/tex]

[tex]3x=10[/tex]

[tex]x=\dfrac{10}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{10}{3}[/tex] units.

Answer:

32m^2

Step-by-step explanation:

Answer: This is copied from the internet:

Step-by-step explanation:

Answer:

For function, every element of the domain must have a unique image in co-domain...

(A)Let us redefine each function as a set of ordered pairs

and see if they satisfy the above condition (A) of a function f1={(1,2),(2,3),(3,4)} ; (4,5) cannot be an ordered pair as 5 does not belong to co-domain , Thus the element 4 of domain does not have an image.

f2={(1,4),(2,3),(2,4),(3,2)(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

The uniqueness is violated as the elements have not one but many images.

f3={(2,1),(3,2),(3,1),(4,1),(4,2),(4,3)} Not a function as in f2 uniqueness is violated.

f4={(1,4),(2,3),(3,2)(4,1)} It is a function as each element has a unique image.

Answer:

0.0000012

Step-by-step explanation:

I hope this helps you! :D

Answer:

The independent variable in this scenario is the number of meals Gabe and Bridgette prepare (m), because this is the variable that they can control and manipulate. The dependent variable is the number of people they will be able to serve (p), because this is the variable that depends on the number of meals they prepare.

Step-by-step explanation:

In other words, the number of people they can serve is affected by the number of meals they prepare, but the number of meals they prepare is not affected by the number of people they can serve.

Answer:

independent variable = m

dependent variable = p

Step-by-step explanation:

The number of people they are able to serve depends on the number of meals they prepare.

In Python, __main__ is the name of the environment where top-level code is run.

We know that in Python, the main function acts as the starting point of execution for any software program.

As we know the program executes only when it runs directly, and if it is imported as a module, then it will not run, the execution of the program starts only when the main function is defined in Python.

__main__ is the name of the top-level scope in which top-level code executes.

Also, all the functions and modules will be executed in the top-level scope __main___ in the interpreter shell.

Using the top-level scope __main__ increases the reusability.

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At 2 miles, both the bus and the taxi will cost $6.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given that the fare on bus is $3 per mile.

The taxi fare of taxi is $4. 00 plus $1. 00 per mile.

Assume that at x miles both fare will be the same.

The fare for x miles in bus is $3x.

The fare for x miles in taxi is $4 + $x

Equate to the fares:

3x = 4 + x

Subtract x from both sides:

3x - x = 4

2x = 4

Divide both sides by 2:

x = 4/2

x = 2.

The fare for 2 miles in bus is $3×2 = $6.

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Answer: 12

Step-by-step explanation:

The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12

Answer:

36

Step-by-step explanation:

Starting at the uppper left and counting the blocks

3 + 2 + 3 + 2 + 4 + 6 + 4 + 2 + 6 + 4 = 36

Answer:

$72693.9

Step-by-step explanation:

To get this answer you need to use the compound interest formula, which will be A=P(1+r/n)^n(t). P=59,000 r=11%=0.11 n=1 (annually) t=2 years. From there you should be able to figure the rest out and get the answer. Hope this helps!

Answer:

Step-by-step explanation:

(9a⁴b⁷) x (6a³b⁸)

(9 x 6) x (a⁴ x a³) x (b⁷ x b⁸)

54 x a⁷ x b¹⁵ = 54a⁷b¹⁵

Answer:

(9a⁴b⁷).(6a³b⁸)

=54a⁷b¹⁵

Answer:

The measure of arcMN is 60°

Step-by-step explanation:

All the way around the circle is 360°. Two marked arcs are 100° and 140°. AngleMON and AngleNOP are marked equal, which means that ArcMN and ArcNP are also equal. So we can write an equation:

100+140 + x+x =360

combine like terms.

240 + 2x = 360

subtract 240.

2x = 120

divide by 2

x = 60

ArcMN is 60°

The function which can which can define the number of flowers in the arrangement is f(x) = 64 + 18x. The domain is found to be [ 0 , 5 ] and the range is [ 64 , 154 ].

Let the number of flowers which is to be calculated be x,

now we know that she already have 64 flowers and that each arrangement will have 18 flowers.

Therefore, the number of flowers can be given by the function , f(x) = 64 + 18x.

Now , we know that the maximum number of flowers which she can buy externally is 5 , which means the domain becomes  [0,5] .

To find the range we will put the value of domain in the given function.

when x = 0 ,

f(0) = 64

when x = 5,

f(5) = 154

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Answer:

4/20

Step-by-step explanation:

1.  Convert lb./acre to grams/acre

2. Use the TKW to calculate seeds per acre.

The imperial system and US customary systems both use acres as a measure of land area.

According to traditional definitions, it is the area of one chain by one furlong (66 by 660 feet), which is exactly equal to 10 square chains, 1640 of a square mile, 4,840 square yards, or 43,560 square feet, and roughly 4,047 m2, or roughly 40% of an acre.

A declared acre is equal to 4,046.8564224 square metres according to the 1959 international yard and pound agreement. Although the word "acre" is typically spelled out, the abbreviation "ac" is sometimes used instead.

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Answer:

0

Step-by-step explanation:

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

m=(4-4)/(4-(-8))

m=0/(4+8)

m=0/12

m=0

Answer:

y = 56.9

Step-by-step explanation:

100 + 13x = 180

13x = 80

x= 80/13

7(80/13) + y = 100

y = 56.9

20 balloons in 7.34 minutes? lets do the math! [tex]\frac{20}{7.34\\}[/tex] = 2.73 balloons a minute.

If Trevon took 14.1 minutes, lets do the math, [tex]\frac{20}{14.1}[/tex] = 1.42 balloons a minute, now if we take 2.73, subtract 1.42 from 2.73. 2.73 - 1.42, we get, Drum roll please...................... 1.31 !!! So, with that fact, we get 1.31, so that means Mary would have to blow 1.31 balloons a minute WITH Trevon, now some more math. we take the amount Mary did, 1.31, and the amount of time it took for both, 7.34, we get this problem, 1.31 x 7.34 which equals (yes I'm doing it again) DRUM ROLL PLEASEEEE....................... 9.60!!!!!!!!

So, in the end, the answer is 9.60

~~Best regards

~Akmp

Answer:

12?

Step-by-step explanation:

Lowkey don't understand the last part of your q but if it's 4 times then if the original was 12 48 is four times bigger

Answer:

y = -3x + 5)

Step-by-step explanation:

We see immediately that the line crosses the y-axis at (0, 7).  The line also goes through (4, -5).  As we move from the first to the second point, x increases by 4 and y decreases by 12.  Thus, the slope of this line is m = -12/4, or m = - 3.

Using the slope-intercept form,

y = -3x + 5)

Answer: y=3x+7

Step-by-step explanation: You need to remember y=mx+b. M is the slope and b is the y intercept. The y intercept is easy as it's were the line touches the y axis or in this case 7. The slope is rise over run meaning you find a point on the graph like (2,1) and you count how many spaces up until your next to a point, and then you see how many spaces you have to move over or run. In this case you rise 3 and run 1 meaning the slope is [tex]\frac{3}{1}[/tex] or just 3.

Answer:

69 pi is your answer.

Answer:

The answer is "Option A".

Step-by-step explanation:

In this question except for choice "A", all the value is not nearest about the hundred or thousand, that why the correct answer is "1,049".

Answer:

look at the picture I sent

here. hope this helps....