Identical rods can be placed end to end, as shown below.
Each rod is 17-5cm long
17.5 cm
17. 5 cm
17.5cm
How many of these rods can be placed in this way, between two points 4 metres apart?

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

Answer:

NO

NO SOLUTION

Step-by-step explanation:

2t + 2e = 11  eqn 1

t + e = 6.5 eqn 2

this can be solved using simultaneous  equation

Multiply eqn 2  by 2

2t + 2e = 13

subtract eqn 1 from2

0 + 0 = 2

there is no solution

Answer:

D, 245.0 in^2

Step-by-step explanation:

Formula for the surface area of a cylinder: A=2πrh+2πr^2

A = 2πrh + 2πr^2

A = 2π(3)(10) + 2π(3)^2

A = 60π + 18π  

A = 245.044

Answer:

???/

Step-by-step explanation:

Step-by-step explanation:

l=1

b=3

h=3

l×b×h

9 is the vol

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

Answer:

X = 8

Step-by-step explanation:

Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.

180 = 51 + 57 + 9x  we are going to simplify the equation by solving what we can

180 = 108 + 9x         * Now we will isolate x

180 - 108 = 9x          * Solve the left side of the equation

72 = 9x                     * Divide both sides by 9

8 = x                    

Answer:

17.74%

Step-by-step explanation:

The formula for percent error is given as:

|Estimated value - Actual value|/Actual value × 100

From the above question:

Estimated value = 73 feet

Actual value = 62 feet

Hence,

Percent error = |73 - 62|/62 × 100

= 11/62 × 100

= 17.741935484%

Approximately , percent error = 17.74%

Therefore, the percent error of Andy's estimation is 17.74%

Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.

Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.

Answer:

36 card

Step-by-step explanation:

because 1 card cost $1.75 and Logan has $63, just divide 63 by 1.75 to get the answer

63÷1.75 =36

Answer:

24º

Step-by-step explanation:

C = (1/2)(56 + 116)

C = 86

4x - 10 = 86

4x = 96

x = 24

Answer:

8,000 or 8·10³

Step by Step:

2000+2000=4000

4000+4000=8000

8000 or 8·10³

Answer:

16000

Step-by-step explanation:

This is essentially is asking 'What is 2000 * 2 * 2 * 2?'.

May I have Brainliest?

Hope that this helps!

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Answer:

b. the slopes of both functions are positive

Step-by-step explanation:

hope this helps :)

Answer:

C. The slope of function A is positive and the slope of function B is negative.

Step-by-step explanation:

For this problem, you need to determine the slope of each function.

For function A:

You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.

So the slope for function A is 1/4.

For function B:

You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)

Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].

Therefore, the slope of function A is positive and the slope of function B is negative.

Answer:

He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours

Step-by-step explanation:

Justin likes to get 7 hours of sleep.

He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins

Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.

1 hour = 60 minutes

1/3 hours = 60/3 = 20 minutes

Hours         Minutes

7                     00       when we borrow 1 hour we borrow 60 minutes

5                    20

1                   40

He needs 1 hour 40 minutes more to get the amount of sleep he likes

or 1 2/3 hours

Answer:

46

Step-by-step explanation:

a + 4(b - 3)

Substitute the values for a and b.

10 + 4(12 - 3)

Subtract inside the parenthesis.

10 + 4(9)

Multiply.

10 + 36

Add.

46

Answer:

A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )

Step-by-step explanation:

( x, y ) = ( 0, 1 )

Here,

x = 0

y = 1

y = x + 1

1 = 0 + 1

1 = 1

( x, y ) = ( 1, 2 )

Here,

x = 1

y = 2

y = x + 1

2 = 1 + 1

2 = 2

( x, y ) = ( 2, 3 )

Here,

x = 2

y = 3

y = x + 1

3 = 2 + 1

3 = 3

Answer:

Circumference = diameter × π

Take π =3. 14

Answer:

72 hours to get 30 dollars

Step-by-step explanation:

30 x 2.4 = 72 hours

2.4x30 equals 72 so it would tke 72 hours

hope this helps

Answer: 20

Step-by-step explanation:

27 apples - 7 apples = 20 apples

Answer:

Peter has 20 apples

Step-by-step explanation:

27 - 7 = 20

Answer:

Alright, with this, its essentially asking for you to plug in X into each equation for the answer.

With the first box, it asks for y = 5 - x, given the x = -2.

y = 5-x

y=5-(-2)

y=5+2

y=7

With the second box down, it wants things a bit differently, it gives you the y value, and wants for you to find the x. Given this, this question can be done backwards for the x value.

y = 5-x

6 = 5-x

x+6= 5

x=-1

With the third one, its the same thing as with the first box.

y = 5-x

y = 5-0

y = 5

Same thing with the fourth one.

y = 5-1

y = 4

If you have any question about the process or the answer, please comment below and I can help explain on what you're stuck on.

Answer:

Picture 1: (-2, 7), (-1,6), (0,5), (1,4)

Picture 2: (-2, -6), (4,6), (0,-2), (1,0)

Picture 3: (-1, -4), (8,5), (1,-2), (5,2)

Answer:

ayaw pag salig og brainly lods

Answer: x>5

Step-by-step explanation: Hope this help :D

Complete question :

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.

Answer:

Step-by-step explanation:

Total number of marbles :

Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6

Total = (1 + 6 + 7 + 4 + 6) = 24 marbles

Probability of selecting marble that is not yellow :

Number of marbles that aren't yellow / total number of marbles

Marbles that aren't yellow = 24 - 6 = 18

P(selecting a marble that isn't yellow) = 18 / 24 = 3/4

Step-by-step explanation:

The given quadratic equation is in standard form.

Answer:

35.00 degrees

Step-by-step explanation: