April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. High. The pathway of the arrow can be represented by the equation h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds. What is the maximum height that the arrow reaches

Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

Answer:

x=0.4 and y=0.6

Step-by-step explanation:

Given :

[tex]\frac{x}{2} +y=0.8\\x+2y=1.6.......(1)\\\frac{7}{x+y/2} =10\\\frac{7}{2x+y/2} =10\\\frac{7*2}{2x+y} =10\\\frac{14}{2x+y} =10\\14=10(2x+y)\\14=20x+10y.....(2)[/tex]

From solving above equation (1) and (2)

x=0.4

y=0.6

Answer:

x= 2 or x= -2

Step-by-step explanation:

3x² -9= 3

+9 on both sides:

3x²= 9 +3

Simplify:

3x²= 12

Divide by 3 on both sides:

x² =4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2 or x= -2

Answer:

13.7

Step-by-step explanation:

take 58 degree as reference angle

using tan rule

tan 58 =opposite/adjacent

1.600=22/x

x=22/1.600

x=13.75

x=13.7

Answer:

How long the residents are likely to live

hope this helps u out

Answer:

How long the residents are likely to live

Step-by-step explanation:

just did it on edge 2022

hope this helps

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

Answer:

i hope this will help u

Step-by-step explanation:

if p(0) so answer is 0

if p(1) so answer is 7/2 or 3.5

Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice

There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.

I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.

Answer:

108, 375 m²

Step-by-step explanation:

Rectangular field area: 280 m·390 m=109200 m²

Barn area: 25 m·33 m=825 m²

Subtract

109200 m²-825 m²=108375 m²

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

Answer:

x = 20

Step-by-step explanation:

The angles form a straight line so they add to 180 degrees

6x-4 + 3x+4 = 180

Combine like terms

9x=180

Divide by 9

9x/9 = 180/9

x= 20

20

Hope this helps! :)

______________

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

brainly.com/question/17267403

#SPJ7

Answer:

Answer:

A. 8

Step-by-step explanation:

Keep in mind my answer choices are in a different order.

38.

f(3)

= 5(3) - 2

= 15 - 2

= 13

39.

5x - 20 = 0

=> 5x = 0 + 20

=> 5x = 20

=> x = 20/5

=> x = 4

38.)

option H

F(3) = 13

39.)

option C

40.)

{-4 , 8}

Answer:

[tex]126\frac{6}{19}[/tex] £

Step-by-step explanation:

£1 = €1.14  /[tex]*\frac{144}{1.14}[/tex]

£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£

Answer:

3) y+5-(1/3)x =7

Step-by-step explanation:

Find at least three solutions to the equation y = 2x, and graph the solutions ... points to make a line. Find the slope of the line. y=3x- x. 3x-1 . -6 -5 -4 -3 -2 -1 ... Solve the following equation for y, and then identify the slope of the line​

Answer:

vertical hope this helps

Answer:

vertical, goodluck

Step-by-step explanation:

I took this

Answer:

Step-by-step explanation:

a

The height of the tower is 44.23 meters after applying the sin law in a provided triangle.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

A communication tower is built on the slope of a hill.

A surveyor, 50m uphill from the base of the tower, measures an angle of 50 between the ground and the top of the tower.

Applying sin law:

sin50/AB = sin60/50

AB is the height of the tower.

sin50/AB = 0.0173

AB = 44.227 ≈ 44.23 meters

Thus, the height of the tower is 44.23 meters after applying the sin law in a provided triangle.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Answer:

m = 14n, 6 and 8

Step-by-step explanation:

The m row is always 14x larger than the N.

The next two would be 6 and then 8

Answer:

multiply by the reciprocal of 31/6

Step-by-step explanation:

4 and one-third = 4 1/3

5 and StartFraction 1 over 6 EndFraction = 5 1/6

Therefore,

4 1/3 ÷ 5 1/6

= 13/3 ÷ 31/6

To solve the problem, multiply 13/3 by the reciprocal of 31/6

The reciprocal of 31/6 = 6/31

So,

13/3 ÷ 31/6

= 13/3 × 6/31

= (13 * 6) / (3 * 31)

= 78 / 93

= 26/31

Answer and Step-by-step explanation:

I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:

[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]

Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.

IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.

#teamtrees #PAW (Plant And Water)

Answer:

48+82)/2 = 65  

Answer C

Step-by-step explanation:

48+82)/2 = 65

(I just had this exact same question so I saw the picture)

Answer:

m

Step-by-step explanation:

Answer:

AB=36

Step-by-step explanation:

BC=AC

AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36

Answer:

60 or 60:1

Step-by-step explanation:

You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.

Answer:

60

Step-by-step explanation:

60

Answer:

100 cars

25 trucks

Step-by-step explanation:

$3c + $5t = $425

c + t = 125 vehicles

($3 * 100) + ($5 * 25) = $425

100 + 25 = 125

Therefore, they washed 100 cars and 25 trucks

Hope this helps!