5.

A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?


A. The balloon starts at a height of 0 ft and rises at a rate of 10 ft.

B. The balloon starts at a height of 10 ft and rises at a rate of 0 ft.

C. The balloon starts at a height of 0 ft and rises at a rate of 100 ft.

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

x + 1

Step-by-step explanation:

3x - (2x + 4) + 5

3x - 2x - 4 + 5

x - 4 + 5

x + 1

Answer:

24

Step-by-step explanation:

Because we have to look at the GREATEST common factor.

8 and 12 are factors but they are not the greatest.

24 is the greatest common factor they both share.

Answer:

C

Step-by-step explanation:

Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°

Answer:

8,000 pounds

Step-by-step explanation:

1 US ton = 2,000 pounds

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1 ton is 2000 pounds

4 tons = 8000 pounds

Answer:

Step-by-step explanation:

A.

Step-by-step explanation:

It's exactly what's asked for.

Answer:

88 centimeters

Step-by-step explanation:

8 times 11 is 88

The length of the path is 88 centimeters.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:

11 pieces of track x 8 centimeters per piece

= 88 centimeters

Therefore,

The length of the path is 88 centimeters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

Answer:

hope it helps

stay safe healthy and happy.

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.

Answer:

NO WAIT NO IGNORE MY PREVIOUS ANSWER

NOT A FUNCTION

If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.

Answer:1.85+x=5.30

Step-by-step explanation: ez

Answer:

1.85 + x = 5.30

Step-by-step explanation:

It started of at 1.85 meters

After awhile it has reached a height of 5.30

If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30

Answer: The first one:

The graph is a function because each input has exactly one output.

Please mark brainliest.  Hope this helps.

Answer:

I dont know

Step-by-step explanation:

Answer:

£189

Step-by-step explanation:

Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7

cost of 1 ticket = £243 ÷ 9 = £27

cost of 7 tickets = 7 × £27 = £189

Answer:

y = -5x + 2

Step-by-step explanation:

y = -5x + b

2 = -5(0) + b

2 = 0 + b

b = 2

y = -5x + 2

Answer:

$40

Step-by-step explanation:

It's very simple, 0.1 * 150 = 15. Then add $25 by 15. 25 + 15 = 40.

the base is 6ft of the billboard

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Answer:

32 ounces........

..

Step-by-step explanation:

Answer:

I'm almost positive that A and D are wrong but please don't kill me if I'm wrong

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]8+14-5-7+3-7-4[/tex]

We'll Follow the PEMDAS order of operations:-

Add and subtract:-

8+14=22

[tex]22-5-7+3-7-4[/tex]

22-5=17

[tex]17-7+3-7-4[/tex]

17-7=10

[tex]10+3-7-4[/tex]

10+3=13

[tex]13-7-4[/tex]

13-7=6

[tex]6-4[/tex]

[tex]2[/tex]

OAmalOHopeO

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

Answer:

25.12 in³

Step-by-step explanation:

v = (1/3)πr²h

Plug in the givens

v = (1/3)(3.14)(4/2)²(6)

v = (1/3)(3.14)(4)(6)

v = 25.12

Answer:

the volume is 25.12. that's the correct answer