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 starts at a height of 500 ft and rises at a rate of 100 ft.

B. The balloon starts at a height if 0.5 ft and rises at a rate of 10 ft.

C . The gallon starts at a height of 100 ft and rises at a rate of 500 ft .

9514 1404 393

Answer:

Step-by-step explanation:

The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.

This post has 2 kinds of problems.

1) 2 angles and the side between them are given.

2) 2 sides and the angle opposite the longest is given.

For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.

For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.

Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.

_____

1) BC = 24.0

2) AC = 26.0

3) m∠B = 73.4°

4) m∠B = 30.0°

__

In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.

For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))

_____

Additional comment

In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.

Answer:

currently no

Why?

Step-by-step explanation:

Look at their differences and when you try to answer them they have different answers. :-)

HOPE IT HELPS

(FROM CROSS)

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

8²+15²=17²

64+225=289

289=289 YES, it is a right triangle

Answer:

[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}[/tex]

[tex]\% Pr= 95\%[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[\ ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[\ ]} & {240} \ \end{array}[/tex]

Solving (a): Complete the table

The sum of each row must equal to the samples.

i.e.

[tex]Positive + Negative = Samples[/tex]

For the samples that contain organic matter, we have:

[tex]665 + Negative = 700[/tex]

Collect like terms

[tex]Negative = 700 - 665[/tex]

[tex]Negative = 35[/tex]

For the samples that do not contain organic matter, we have:

[tex]Positive + 240 = 300[/tex]

Collect like terms

[tex]Positive = 300 -240[/tex]

[tex]Positive = 60[/tex]

So, the complete table is:

[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}[/tex]

Solving (b): Proportion of samples that are positive if the sample contains organic matter

From the table, we have:

[tex]Samples = 700[/tex]

[tex]Contains\ Organic\ Matter\ n\ Positive = 665[/tex]

So, the percentage is:

[tex]\%Pr = \frac{Contains\ Organic\ Matter\ n\ Positive}{Samples} * 100\%[/tex]

[tex]\% Pr= \frac{665}{700} * 100\%[/tex]

[tex]\% Pr= \frac{665* 100}{700} \%[/tex]

[tex]\% Pr= \frac{66500}{700} \%[/tex]

[tex]\% Pr= 95\%[/tex]

Answer:

35, 60, 95%

Step-by-step explanation:

correct

Answer:

h=240-97

Step-by-step explanation:

Answer:

1. S.A. = 4350 cm²

2. S.A. = 864 cm²

3. S.A. = 240 cm²

4. S.A. = 224 m²

5. S.A. = 301.6 in.²

6. S.A. = 6,082.1 cm²

7. S.A. = 923.6 in.²

Step-by-step explanation:

1. Surface area of the rectangular prism = 2(LW + LH + WH)

L = 45 cm

W = 25 cm

H = 15 cm

S.A. = 2(45*25 + 45*15 + 25*15)

S.A. = 4350 m²

2. Surface area of the cube = 6a²

a = 12 cm

S.A. = 6(12²)

S.A. = 864 cm²

3. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

b = 4 cm

h = 6 cm

s1 = 4 cm

s2 = 7 cm

s3 = 7 cm

H = 12 cm

Plug in the values

S.A. = 4*6 + (4 + 7 + 7)*12

S.A. = 24 + (18)*12

S.A. = 24 + 216

S.A. = 240 cm²

4. Surface area of the square based pyramid = area of the square base + 4(area of 1 triangular face)

S.A. = (8*8) + 4[(8*10)/2]

S.A. = 64 + 4(40)

S.A. = 64 + 160

S.A. = 224 cm²

5. Surface area of the cone = πrl + πr²

r = 6 in.

l = 10 in.

S.A. = π*6*10 + π*r²

S.A. = 60π + 36π

S.A. = 301.592895

S.A. = 301.6 in.² (nearest tenth)

6. Surface area of the sphere = 4πr²

r = 22 cm

S.A. = 4*π*22²

S.A. = 1,936π

S.A. = 6,082.1 cm² (nearest tenth)

7. Surface area of the cylinder = 2πrh + 2πr²

r = 7 in.

h = 14 in.

S.A. = 2*π*7*14 + 2*π*7²

S.A. = 923.6 in.² (nearest tenth)

Answer:

Step-by-step explanation:

i hope this is good enough

I'm assuming you mean factorise, in this case the answer is 12x²+27x-84

If you mean find out what x is, x=[tex]\frac{7}{4}[/tex] and x=-4

Answer:

Scalene

Step-by-step explanation:

Answer: Acute scalene triangle

A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.

Answer:

10.5

Step-by-step explanation:

Given the data:

Age. l frequency

1-5. l 3

6-10. l 3

11-15. l 3

16-20. I 3

Mean :

Σfx / Σf

Obtain the midpoint (x) = (upper + lower boundary) / 2

Hence, midpoint x :

Age. l frequency | x

1-5. l 3 | 3

6-10. l 3 | 8

11-15. l 3 | 13

16-20. I 3 | 18

Σfx = (3*3) + (3*8) + (3*13) + (3*18) = 126

Σf = (3 + 3 + 3 + 3) = 12

Mean = Σfx / Σf = 126 / 12 = 10.5

Answer:

B

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Your answer is every number is divided by 4

Step-by-step explanation:

so for the 4th term it would be 3/4, then divide that by 4, and then divide that by 4, and so on and so forth.

Answer: 60 + 13 sqrt 10

the top part adds up to 10 and the bottom part is 13

so you get a 7-3-2 sqrt 10 triangle to the left

the area of that is 3 sqrt 10

the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10

the area of the big vertical rectangle is 5*12 which is 60

so you add them up

60 + 13 sqrt 10

Answer:

a-16 and a half c-12

Step-by-step explanation:

Answer:

b = 7.56

C = 9.24

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is  

180 degrees.

A+

90+55=180

A=35

Then find c

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp or Cos(55) = 5.3 / c

re write as

C = 5.3 / cos55

This gives you c = 9.24

Then use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]

Answer:

[tex]Worth = \$284258.1[/tex]

Step-by-step explanation:

Given

[tex]Dimension: 7in\ * 3in\ * 1in[/tex]

[tex]Value = \$1214/oz[/tex] ---- value of Gold

Required

The worth of 1 gold bar

First, calculate the volume (n) of the gold bar

[tex]n = 7in * 3in * 1in[/tex]

[tex]n = 21in^3[/tex]

Next, calculate the weight of the gold bar using:

[tex]w = 11.15n[/tex]

[tex]w = 11.15 * 21[/tex]

[tex]w = 234.15oz[/tex]

Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.

[tex]Worth =Value * w[/tex]

This gives:

[tex]Worth = \$1214/oz * 234.15oz[/tex]

[tex]Worth = \$1214 * 234.15[/tex]

[tex]Worth = \$284258.1[/tex]

Answer:

Good for her!

Step-by-step explanation:

Answer:

Ok she dark 56 cup witch is Equal to 56x1

Step-by-step explanation:

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains

Answer:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Step-by-step explanation:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Answer:

9

Step-by-step explanation:

Plug in 6 to x, since this is the x-value in the ordered pair.

[tex]3(6)+2y=36\\18+2y=36\\2y=18\\y=9[/tex]

Answer:

(6, 9)

Step-by-step explanation:

3x + 2y = 36

Substitute 6 into the equation to get the output.

3(6) + 2y = 36

Multiply 3 and 6.

18 + 2y = 36

Subtract 18 from both sides.

2y = 18

Divide both sides by 2.

y = 9

The ordered pair when x = 6 is

(6, 9)

Answer:

x = 14 for the first one, x = 60 for the second one

Step-by-step explanation:

Step-by-step explanation:

We know the measure of a straight line is 180° . So that ,

> 5x - 10 + 120 = 180

> 5x = 60 + 10

> 5x = 70

> x = 70/5

> x = 14

Solution 2 :-

> x + 50 + 70 = 180

> x = 180 - 120

> x = 60

Answer:

25%

Step-by-step explanation:

Given data

Dimension of sign

Length= 6ft

Width= 4 ft

Area= Length* Width

Area= 6*4

Area= 24 ft^2

Dimension of Red part

Lenght= 3ft

Width= 2 ft

Area of Red part

Area= 3*2

Area= 6 ft^2

Hence the percentage that is the red part is

=6/24*100

=0.25*100

=25%

Answer: Because the graphs of the two equations overlap each other

Step-by-step explanation:

Every point on the first line also satisfies the second equation.

This is the same as equivalent fractions

where 1/2 = 2/4 = 3/6 = 4/8

Graphing these on a number line would only show one dot.

Answer: 14

Step-by-step explanation:

1/16x = 7/8

x = 7/8*16/1 = 14

He can sell his candy

Give away to people.

Answer:

0.088

Step-by-step explanation:

Given two cylinders

Volume of one = 64cm^3

Volume of the other = 729cm^2

Scale factor = Volume of the small/Volume of the large

Scale factor = 64:729

Scale factor = 0.087