A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?

A. 5/15
B. 6/11
C. 5/6
D. 6/5​

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]

using Heron theorem, we have:

[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]

with S is the area of the triangle

       [tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]

Step-by-step explanation:

Area of the triangle with given vertices is equals to 24 square units.

"Area is the surface which represents the total space occupied by any two dimensional object."

"Triangle is a  polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."

Formula used

In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)

Area of a triangle =  [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]

According to the question,

Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)

Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]

                                 = [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]

                                 = 24 square units

Hence Area of the triangle with given vertices is equals to 24 square units.

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Answer:

44?? maybe

Step-by-step explanation:

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

Answer:

910 ft

Step-by-step explanation:

This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910

The required height where the plane is given as 910 ft, as of the given condition.

Given that,
An airplane makes a 20° angle of elevation from the runway when it takes off. The airplane shown is 2500 feet along the ground from its take-off point.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,
base length  = 2500
Angle of inclination  = 20°
let the perpendicular height = h
Now,
tan20° = h / base
h = 2500 [tan20°]
h = 910 ft

Thus, the required height where the plane is given as 910 ft, as of the given condition.

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Answer:

Step-by-step explanation:

The second one

Answer:

distributive property

Step-by-step explanation:

u should be use the 2nd one...

37(20)+7

Answer:

X = 4/13

Y = - 5/13

Step-by-step explanation:

Since all of the equalities are true, the ordered pair is the solution of the system

Answer:

i think the Hight would be 60

Step-by-step explanation:

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

Answer:

x = -4

y = 4

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Step-by-step explanation:

Answer:

There should be 37.2 trillion, however this is not a finite number and there might be more or less depending on the person.

Step-by-step explanation:

Answer:

A odd # is 3.5.7 and etc such that you have odd numbers

Answer:

Yes

Step-by-step explanation:

.25 hour = 1/4 hour

75 * 1/4 = 18 3/4

You travel 18 3/4km in 1/4 hr(.25 hr).

Answer:

3386 miles was her destination......

Step-by-step explanation:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]

For the area of the rectangle:

[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]

For the area of each triangle:

[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Answer:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

For the area of the rectangle:

Step-by-step explanation:

For the area of each triangle:

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Answer:

discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Step-by-step explanation:

Given that;

Range of the dataset = maximum value - minimum value = 74 - 16 = 58

total number of data set n = 50

Rule : [tex]2^{k}[/tex] ≥ n

substitute value of n

[tex]2^{k}[/tex] ≥ 50

k × log(2) = log( 50 )

k × 0.3010 = 1.69897

k = 1.69897 / 0.3010

k = 5.64

Hence, we have a total of 6 number of classes needed to be constructed.

so,

class width = 74 - 16 / 6 = 58 / 6 = 9.67

If the Data is discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

If the Data is continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Answer:

A and B

Step-by-step explanation:

you divide 5 and 25

like this 5/25 and then multiply by 100

For B you do the same thing but is 8/40 and then you multiply by 100

Answer:

to torture people

Step-by-step explanation:

but real anwser is to help children learn more about their ecosystem and to give more knowledge and learn new things

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Answer:

y=4−2x/3

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve.

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Answer:

the amount received from the credit card company is $19.16

Step-by-step explanation:

The computation of the amount received from the credit card company is shown below:

= Purchase made by the customer × received percentage

= $20 × 95.8%

= $19.16

Hence, the amount received from the credit card company is $19.16

The same is to be considered and relevant too

Answer:

The answers are 0 and -1

Step-by-step explanation:

Answer:

0 and -1

Step-by-step explanation:

Answer:

The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Step-by-step explanation:

Given;

number of bagels in 2 hours = 310 bagels

The rate per hour is calculated as;

[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]

In 20 hours, the number of bagels made is calculated as;

Number of bagels = 155 (bagels/hour) x 20 (hour)

                               = 3100 bagels.

Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

56 sweets can be shared in the ratio 2 : 5 as 16 sweets and 40 sweets.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Share 56 sweets in the ratio 2 : 5.

First share is = (2/2+ 5)×56.

= (2/7)×56.

= 16.

And the second share is (5/2 + 5)×56.

= (5/7)×56.

= 40.

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Answer:

y = 17/7

Step-by-step explanation:

Answer:

The factors of given quadratic equation

  [tex]x = \frac{9}{15} and x = -2[/tex]

Step-by-step explanation:

Explanation:-

Given quadratic equation 15x² +39 x -18 =0

The factors of 270 = 30 × 9

The quadratic equation 15x² +39 x -18 =0

                                   ⇒ 15 x² +30 x-9x -18=0

                                ⇒ 15x(x+2) -9( x+2) =0

                               ⇒( 15x -9)(x+2) = 0

                      15x - 9=0    and  x+2 =0

                      15 x =9   and  x = -2

                      [tex]x = \frac{9}{15} and x = -2[/tex]