2. Two puppies together weigh 22 kilograms 300 grams. If one
puppy weighs 9 kilograms 500 grams, how heavy is the other
puppy?
Tip: 1 kg = 1000 g
answer asap

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

its B

Step-by-step explanation: trust me but also you can graph it and it will show the points

Answer:

I think C and D options can be correct

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

I think C and D options can be correct

Step-by-step explanation:

a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer:

The square root of .0169 is 0.13

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

Answer:hi

Step-by-step explanation:

The solution is, angle A is opposite of BC.

It can be mentioned as, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

here, ABC is a triangle.

now, we have to find the side which is opposite to angle A.

so. we get,

Here, we want to get the side that is opposite of the angle marked A

Looking at the given triangle, we can see that the given angle is opposite the side labelled BC.

Thus, we can say that the angle marked A which lies on vertex A is opposite the side marked BC.

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Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

The frequency table is shown below.

Step-by-step explanation:

The data set arranged ascending order is:

S = {33 , 34 , 39 , 48 , 49 , 50 , 53 , 54 , 55 , 56 , 58 , 58,  60 , 63 , 64 , 65 , 70 , 71 , 74 , 84}

It is asked to use the minimum value from the data set as the lower class limit for the first row.

So, the lower class limit for the first class interval is 33.

To determine the class width compute the range as follows:

\(\text{Range}=\text{Maximum}-\text{Minimum}\)

          \(=84-33\\=51\)

The number of classes requires is 5.

The class width is:

\(\text{Class width}=\frac{Range}{5}=\frac{51}{2}=10.2\approx 10\)

So, the class width is 10.

The classes are:

33 - 42

43 - 52

53 - 62

63 - 72

73 - 82

83 - 92

Compute the frequencies of each class as follows:

Class Interval                  Values                        Frequency

   33 - 42                      33 , 34 , 39                             3

   43 - 52                      48 , 49 , 50                            3

   53 - 62          53 , 54 , 55 , 56 , 58 , 58,  60              7

   63 - 72                 63 , 64 , 65 , 70 , 71                      5

   73 - 82                              74                                  1

   83 - 92                             84                                   1

   TOTAL                                                                   20

Compute the relative frequencies as follows:

Class Interval          Frequency        Relative Frequency

   33 - 42                        3                   \(\frac{3}{20}\times 100\%=15\%\)

   43 - 52                        3                   \(\frac{3}{20}\times 100\%=15\%\)

   53 - 62                        7                   \(\frac{7}{20}\times 100\%=35\%\)

   63 - 72                        5                   \(\frac{5}{20}\times 100\%=25\%\)

   73 - 82                         1                   \(\frac{1}{20}\times 100\%=5\%\)

   83 - 92                         1                   \(\frac{1}{20}\times 100\%=5\%\)

   TOTAL                        20                          100%

Answer:

(x +5) (x +4) = 0

Step-by-step explanation:

x^2 + 9x +20 = 0

x^2 + 4x + 5x +20 = 0

x(x + 4) + 5(x + 4) = 0

(x +5) (x +4) = 0

Answer:

see below

Step-by-step explanation:

x^2 + 9x = -20​

x^2 + 9x + 20 = 0

factor the expression

(x + a)(x + b)

a + b = 9

a = 4

b = 5

ab = 20

rewrite the factor expression:

(x + 4) (x + 5)

x + 4 = 0   and x + 5 = 0

therefore,

x = -4

x = -5

The value of r is equal to the cube root of (V * (3π/4)).

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The Addition Property of Equality allows us to add EF to both sides of the equation without changing its truth, giving us AB + EF = CD + EF.

We have,

The Addition Property of Equality states that if we add the same quantity to both sides of an equation, the equation remains true.

In the given equation,

AB = CD, we can add the same quantity, EF, to both sides of the equation to obtain:

AB + EF = CD + EF

This is because if two quantities are equal, and we add the same amount to both of them, the result is still equal.

Therefore,

The Addition Property of Equality allows us to add EF to both sides of the equation without changing its truth, giving us AB + EF = CD + EF.

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Answer:

65/100 that is the answer to this question

Answer:

C. 9x-1

Step-by-step explanation:

(5x+2)+(4x-3)

5x+2+4x-3

5x+4x+2-3

9x-1

The expressi

and we would like to know the domain and range of the function. Since for every x value we give to the equation the result will always be a real number the domain of this function is

Now to find the range of the function we solve the equation for x.

This root will only exist if

Therefore the range of the function is:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The average movie ticket cost in Switzerland and Japan each of these​ countries is 46.97.

Let's assume that the average cost of a movie ticket in Japan is x, and the average cost of a movie ticket in Switzerland is y.

According to the problem statement, we can write two equations based on the given information:

3x + 2y = 78.5 ...(1)

2x + 3y = 74.1 ...(2)

We can solve these equations simultaneously to find the values of x and y. Here's how:

Multiply equation (1) by 2 and equation (2) by 3, then subtract equation (1) from equation (2):

(2x + 3y) - 2(3x + 2y) = 74.1 - 2(78.5)

Simplifying this equation, we get:

-y = -109.3

Therefore, y = 109.3.

Now substitute y = 109.3 into either equation (1) or (2) and solve for x:

3x + 2(109.3) = 78.5

Simplifying this equation, we get:

3x = -140.9

Therefore, x = -46.97.

However, we cannot have negative ticket prices.

Therefore, the average cost of a movie ticket is 46.97.

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Answer:

5: 0.09, 5/8, 70%, 0.80   6: 27   7: 72   8: 85  9: 16  10: a-20 b-60

Step-by-step explanation:

Answer:

I mean tbh its pretty easy

The y intercept is: (0, 2.5)

The x-intercept is: (3.5,0)

just look at the graph lol but if im

wrong sorry

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

Answer:

725.34

Step-by-step explanation:

003.14

x

321.00

725.34

Answer:

725.34

Step-by-step explanation:

Think of the number '3.14' as 314 and use the long multiplication process to derive your answer.

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

Explanation:

Here, we want to get the possible lengths of the third side of the triangle

From the lengths principle for triangles, the sum of the lengths of two of the sides must be greater than the length of the third side

We have a length as 6 and the other as 10

Now, if we have 8 or 9, they can work for the triangle

This is because if we add 8 to 6, it is greater than 10. Also, if we add 9 to 6 it will be greater then 10

Consclusively, the length of the third side will be one which is less than the sum of the lengths of the initial two (10 + 6)

Also, if the length is added to 6, the sum will be greater than 10

Answer:

y= 25

Step-by-step explanation:

y = 25 /2  

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Translation is the movement of a point up, down, left or right.

Transformation is the movement of a point from its initial location to a new location.

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Therefore the coordinates remains same as previous figure.

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The correlation coefficient for each scatter plot displayed is

The correlation coefficient gives the strength and direction of relationship between variables using values between -1 and 1 .

plot A has a very perfect association, hence the value 0.999 , Plot D also depicts a strong association with a well defined trendline . For plot B, the slope is negative, hence, the negative value in the coefficient.

Therefore, the type of correlation can be visually inferred from the graph.

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