The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles

Answer:

Remember that:

Speed = distance/time.

Then we can calculate the average speed in any segment,

Let's make a model where the average speed at t = t0 can be calculated as:

AS(t0) = (y(b) - y(a))/(b - a)

Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.

Then:

if t0 = 100s

AS(100s) = (400ft - 0ft)/(200s - 0s) =   2ft/s

if t0 = 200s

AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s

if t0 = 300s

AS(300s) = (3200ft - 400ft)/(400s - 200s) =  14ft/s

if t0 = 400s

AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s

So for the given options, t = 400s is the one where the velocity seems to be the biggest.

And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.

Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.

Speed is simply the rate of change of distance over time.

The greatest speed is at [tex]t = 400[/tex]

To calculate the time of the greatest speed, we simply calculate the slope between each interval.

The slope (m) of a line is:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

When [tex]t = 100[/tex]

[tex](t_1,y_1) = (0,0)[/tex]

[tex](t_2,y_2) = (200,400)[/tex]

So, we have:

[tex]m = \frac{400-0}{200 -0}[/tex]

[tex]m= \frac{400}{200}[/tex]

[tex]m = 2[/tex]

When [tex]t = 200[/tex]

[tex](t_1,y_1) = (100,50)[/tex]

[tex](t_2,y_2) = (300,1360)[/tex]

So, we have:

[tex]m = \frac{1360-50}{300 -100}[/tex]

[tex]m = \frac{1310}{200}[/tex]

[tex]m = 6.55[/tex]

When [tex]t = 300[/tex]

[tex](t_1,y_1) = (200,400)[/tex]

[tex](t_2,y_2) = (400,3200)[/tex]

So, we have:

[tex]m = \frac{3200-400}{400 -200}[/tex]

[tex]m = \frac{2800}{200}[/tex]

[tex]m = 14[/tex]

When [tex]t = 400[/tex]

[tex](t_1,y_1) = (300,1360)[/tex]

[tex](t_2,y_2) = (500,6250)[/tex]

So, we have:

[tex]m = \frac{6250-1360}{500-300}[/tex]

[tex]m = \frac{4890}{200}[/tex]

[tex]m = 24.45[/tex]

From the above computation, the greatest speed (i.e. slope) is

[tex]m = 24.45[/tex]

The corresponding time at [tex]m = 24.45[/tex] is [tex]t = 400[/tex]

Hence, the greatest speed is at [tex]t = 400[/tex]

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Answer:

Hi there!

An inequality to demonstrate this is:

105.5 + 7.5x >= 250

Hope this helps

Answer:

Hello

Step-by-step explanation:

yUh GeT iNtO iT

To find the area of the larger figure, let's multiply the length by the width.

9 ft * 4 ft = 36ft^2

Let's do the same thing with the smaller figure.

3 ft * 4 ft = 12ft^2

Let's add the area of both figures together.

36ft^2 + 12ft^2 = 48ft^2

Before multiplying two fractions together, always try to cross-cancel.

So in this problem, the 13 and 39 cross-cancel to 1 and 3.

So we have 1/15 × 11/3 which is 11/45.

Remember, multiply across the numerators and denominators.

Answer:

x<3/4 and x>0

for graphs, refer to the images attached.

Step-by-step explanation:

-1-4x > -4 AND -1-4x <-1

Answer:

it is terminating

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

x - 2 = 3x - 12

Step 2:

- 2 = 2x - 12

Step 3:

10 = 2x

Step 4:

5 = x

Hope This Helps :)

Answer:

The value is [tex]w = 6.7 \%[/tex]

Step-by-step explanation:

Generally the productivity rate is mathematically represented as

[tex]P_r = K * Z[/tex]

Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha

Now considering 1970

The productivity rate is

[tex]P_r = 0.75 *5000[/tex]

=> [tex]P_r = 3750 \ kg/h [/tex]

Now considering 1940

The productivity rate is given as [tex]P_R = 250 \ kg/h [/tex]

Generally the productivity ratio is mathematically ration is mathematically represented as

[tex]w = \frac{P_R}{P_r} * 100[/tex]

=> [tex]w =  \frac{250}{3750}  * 100[/tex]

=> [tex]w = 6.7 \%[/tex]

0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D

Hope this helped

Step-by-step explanation:

this is your answer.........

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

6x−10−86x−18=9+4x−4x=9

Adding 18 to both sides of the equation, we get

6x=27

This can be solved by dividing by 6 on both sides of the equation, which gives a unique solution of 92. So, this is a conditional equation.

Answer:

The line is x =0

Step-by-step explanation:

Vertical lines are of the form

x =

The value of x in the point ( 0,2) is x =0

The line is x =0

Since we are working with a vertical line, we use the equation "x =" and use the x value in the point.

x = 0

Best of Luck!

Answer:

(9,3)

Step-by-step explanation:

did the calculations

The co-ordinates of point B is ( 10, 6 ).

A line segment is a subset of a line which has two endpoints.

According to the given question a  line segment AB has one endpoint at A(0, 0) which is (x₁,y₁)

Given midpoint is at (5,3).

Let B is (x₂,y₂).

We know midpoint of x is (x₁ + x₂)/2 and midpoint of y is (y₁ + y₂)/2.

∴ 5 = ( 0 + x₂ )/2

  5 = x₂/2

  x₂ = 10.

AND

3 = ( 0 + y₂ )/2

3 = y₂/2

y₂ = 6.

( x₂,y₂ ) = (10,6)

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Answer:

38 and 40

Step-by-step explanation:

Hope this helps you :)

Answer:

39 would fall between 38 and 40

Step-by-step explanation:

Answer: none of thoses

Step-by-step explanation:

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

Answer: 50,400

Step-by-step explanation: 180 times 280 is like multiplying 180 by 280 times.

We can write 180 times 280 like this; 180 x 280.

180 x 280 = 50,400

Answer:

50,400

Step-by-step explanation:

180×280=50,400

Step-by-step explanation:

On the right side, 3 + 4 + 7 = 14, so the other two numbers must add up to 22.  Therefore, they must be 10 and 12.

Let's assume 12 is the top number and 10 is the bottom number.

The left side adds up to 12 + 9 + 2 = 23, so the other two numbers add up to 13.  Therefore, they must be 5 and 8.

The bottom side adds up to 10 + 1 + 11 = 22, so the other two numbers add up to 14.  Therefore, they must be 6 and 8.

So the bottom left number is 8.

Answer: 8b and 80

Step-by-step explanation: H3h3

The Area of Rectangle is 80 unit².

The Area of rectangle is the product of its length to its width.

Area of rectangle = length x width

Given:

Expression that represents the area of this rectangle is 8b.

Now, b = 10

As, area of rectangle = l x w

area of rectangle = 8b

area of rectangle = 8 x 10

area of rectangle = 80 unit².

Hence, the area is 80 unit².

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Answer:

Reflection over y axis, and translate right 1

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

Answer:

D . f(n)=f(1)=3

            f(n)= -5f(n-1)if n >1

Step-by-step explanation:

i hope this help  got it right on test

Answer:

The answer is 42 pages per day.

Step-by-step explanation:

The answer is 42 because 590 minus 296 equals 294 and since the deadline is 17 days and he has done 10 already then 294 divided by 7 equals 42.

Answer:

95

Step-by-step explanation:

5+5 = 10 x 10 = 100 - 5 = 95

Have a good day!!

Answer:11

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

The coefficient of x in -7xyz2 is -7.

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

y=5x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

you plug in 3 for n

4n+1

4(3)+1

12+1

13

Answer:

60° =19π/3

288°=22π/9

315°=23π/4

80°=18π/5

Step-by-step explanation:

The question is incomplete. Find the completed question in the attachment.

We are to convert the radian values to the corresponding degrees that are less than 360°

Since π rad = 180°

For 23π/4:

If π rad = 180°

23π/4 = x

Cross multiply:

πx = 23π/4 × 180

x = 23π/4π × 180

x = (23×180)/4

x = 1035°

Next is to scale down 1035° to a degree less than 360 and to do this we will be subtracting multiples of 360° from the value gotten.

x = 1035 - (360×2)

x = 1035 - 720

x = 315°

Hence 23π/4 = 315°

For 18π/5:

If π rad = 180°

18π/5 = y

Cross multiply:

πy = 18π/5 × 180

y = 18π/5π × 180

y = (18×180)/5

y = 648°

In scaling down:

y = 648°-360°

y = 288°

Hence 18π/5 = 288°

For 22π/9:

If π rad = 180°

22π/9 = t

Cross multiply:

πt = 22π/9 × 180

t = 22π/9π × 180

t = (22×180)/9

t = 440°

In scaling down:

t = 440-360°

t = 80°

Hence 22π/9 = 80°

For 19π/3:

If π rad = 180°

19π/3 = y

Cross multiply:

πy = 19π/3 × 180

y = 19π/3π × 180

y = (19×180)/3

y = 3420/3

y = 1140°

In scaling down:

y = 1140°-(3×360)°

y = 1140-1080

y = 60°

Hence 19π/3 = 60°

Answer:

the other person was almost right except they mixed up 2 of them. this is the right answer, i hope this helps :)

60° =19π/3

288°=18π/5

315°=23π/4

80°=22π/9

have a great day :))

Step-by-step explanation:

exponents is the awnser