Find the missing side of triangle

The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is

336 - 4 (n - 1)

or

340 - 4n

The last term in this series is 4, so we solve for n :

340 - 4n = 4

336 = 4n

n = 336/4 = 84

The sum of the series is then

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]

Recall that

[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]

Then the sum we want is

[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]

Answer:

The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Answer:

The answer is A i got A 100 on the test here or the rest of the anwers for the test

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?

90 degrees clockwise rotation ✔

270 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Triangle XYZ is rotated 90° clockwise about the origin.

On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).

What are the coordinates of point X’?

(1, 3)  ✔

(3, –1)

(3, 1)      

(–1, –3)

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔

X’(1, 1), Y’(–3, –4), Z’(–1, –5)

X’(–1, 1), Y’(–3, –4), Z’(–5, 1)

X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.  

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

180 degrees rotation     ✔

270 degrees clockwise rotation

90 degrees counterclockwise rotation      

90 degrees clockwise rotation

A rotation maps point A to A’.

On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).

Which statement describes the rotation?

270° counterclockwise rotation

90° clockwise rotation

180° rotation ✔

90° counterclockwise rotation  

Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?

Q’( –3, 5) ✔

Q’(3, –5)

Q’(5, –3)

Q’(–5, –3)  

Answer:

14

Step-by-step explanation:

Answer:

Let X be the number of times a Dice rolls 4.

Expected value is 96/6 = 16.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In a dice, there are 6 faces, there's {1, 2, 3, 4, 5, 6}.

So when the question asks a number greater than 5 it means that it wants the "6". The probability to get the "6" is 1/6. So to find the expected value you just times the number of rolls with the probability which means 36 × 1/6 which equals to 6 times

Answer:

The answer would be B. x is all real numbers.

Step-by-step explanation:

It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.

Well, good luck on the other 9 problems!

Answer:

(3+3) / (2+3) = 6/5

:)))

..........

Answer:

325 minutes

Step-by-step explanation:

We can use a ratio to solve

25 minutes         x  minutes

------------------  = ---------------

1 burger                   13 burgers

Using cross products

25*13 = 1x

325 = x

325 minutes

Answer:

325 minutes or 5 hours and 25 minutes

Step-by-step explanation:

If it takes 25 minutes to fry a single burger, assuming only one burger can be made at a time, you must multiply the time per burger by how many burgers are made. So. 25(13) = 325 minutes or 5 hours and 25 minutes.

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- number of questions

Required

The time spent on each question

The question has missing details, as the required plot to calculate the total time is not given.

However, the formula to use is as follows

[tex]Each = \frac{Total}{n}[/tex]

Substitute 5 for n

[tex]Each = \frac{Total}{5}[/tex]

Assume the calculated total time is 60 minutes; The equation becomes

[tex]Each = \frac{60}{5}[/tex]

[tex]Each = 12\ mins[/tex]

Answer:

9 minutes

Step-by-step explanation:

I got it wrong from the other guy so i put get help and that's the Awnser LOL

Answer:

24.44%

Step-by-step explanation:

initial value :45

final value:56

change in value= 56-45=11

percentage change= 11

[tex] \frac{11}{45} \times \frac{100}{1} [/tex]

[tex] \frac{1100}{45} [/tex]

=24.44%

Answer:

24.44%

Step-by-step explanation:

Çhange =56-45

=11

Percentage change =change/previous change ×100%

Percentage change=11/45 ×100%

=0.2444444×100%

=24.4444%

Answer:

C. y = -f(x) - 3

Step-by-step explanation:

The given (parent) function is f(x) = √x

The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right

Therefore;

The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D

Where, D, is the vertical shift

The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3

The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction

Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)

The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)

Therefore, the equation that describes the graphed function is y = -f(x) - 3

[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]

[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]

[tex]\\ \sf\longmapsto \theta=45°[/tex]

Answer:

the answer is B

Step-by-step explanation:

because only 48 is dividable by 6

The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point

Answer:

x=17

Step-by-step explanation:

3x-15=20+16

3x-15=36

3x=36+15

3x=51

x=17

[tex] \frac{5}{ \sqrt{3} } \\ = \frac{5 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ = \frac{5 \sqrt{3} }{ { \sqrt{3} }^{2} } \\ = \frac{5 \sqrt{3} }{3} [/tex]

This is the answer.

Answer:

306

Step-by-step explanation:

6*9=54

54*4=216

216+90=306

Answer:

There are 6 more girls than boys

Step-by-step explanation:

boys :girls : total

2         3       2+3 = 5

There are 30 total students

30/5 = 6

Multiply each number by 6

boys :girls : total

2*6     3*6     5*6

12          18      30

There are 18 girls and 12 boys

18-12 = 6

There are 6 more girls than boys

Answer:

Answer is 6.

Step-by-step explanation:

I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.

Answer:

Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)

Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)

the factors of 8 are as follow:

1,2,4,8

Answer:

Factors of 8 are 1, 2, 4, and 8.

Step-by-step explanation:

hope it is helpful to you ☆☆

Answer:

(a-5) / 6 = -4

or

-19

Step-by-step explanation:

(a-5) / 6 = -4

multiply by 6

a - 5 = -24

+5       +5

a = -19

Answer:

A.) Midsegment

Step-by-step explanation:

Trust me bro

Answer:

coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)

Step-by-step explanation:

Answer:

1.5 cm

Step-by-step explanation:

Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3

so UV = 3/2 = 1.5 cm

Answer:

Since the ratio of the two corresponding sides is 3:5, this means that edge_prism_1%2Fedge_prism_2=3%2F5

So the ratio of the two surface areas is simply the square of the ratio of the two sides. This means that ratio of the two surface areas is simply

3%5E2%2F5%5E2=9%2F25

Consequently, this works with volume also. So ratio of the two volumes is:

3%5E3%2F5%5E3=27%2F125Step-by-step explanation:

Answer:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied

Answer:

United States: Retail sales rebound in June

Step-by-step explanation:

United States: Retail sales rebound in June: Retail sales increased 0.6% month-on-month in seasonally-adjusted terms in June (May: -1.7% mom). The figure was largely due to a strong increase in gasoline sales in June, while sales at electronic and appliances, health and personal care, and general merchandise stores all rebounded robustly over the previous month. #accelerationism

Answer:

By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.

Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.

He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)

Step-by-step explanation:

hour          job A pay           job B pay

----------------------------------------------------------

 0                    $0                    $30

 1                   $ 20                $42.50

 2                   $40                   $55

 3                   $60                $67.50

 4                   $ 80                  $80

 5                   $100               $ 92.50

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.