Find the mass of an object that has a density of 1.5 g/cm^3 and has a volume
of 8 cm^3

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

[tex]A=\dfrac{\sqrt{3}}{4}a^2[/tex]

Where, a is the side length of the triangle.

Putting [tex]a=14[/tex], we get

[tex]A=\dfrac{\sqrt{3}}{4}(14)^2[/tex]

[tex]A=\dfrac{\sqrt{3}}{4}(196)[/tex]

[tex]A=84.87049[/tex]

[tex]A\approx 84.9[/tex]

Therefore, the area of given regular polygon is 84.9 cm².

Answer:

2.6 each

Step-by-step explanation:

because the amount of bagels shared arn't equal, So you have to tear apart 2

Answer:

No. of bagels = 8

No. of people = 3

Bagels for each person = ?

Bagels for each person = 8/3 = 2.6

Each person gets about 2.6 bagels.

Answer:

x < 11/4

Step-by-step explanation:

hope this is right!

Answer:

Exact Form:

x  =  1/2 , 3/2  

Decimal Form:  x  =  0.5  ,  1.5

Mixed Number Form:  x  =   1/2   1/1,2  

Step-by-step explanation:

Answer:

6 Dollars

Step-by-step explanation:

Set up:

15x = $90

To get the unite rate divide 90 by 15

x = $6

Each ticket cost 6 dollars

Answer:

A

Step-by-step explanation:

When each input value has one and only one output value, that relation is a function.

Answer: The y is going to be 7

Explanation: Because 5y/35 divide 5 both sides cancel the both 5's and y stays by itself and 35/5 equals 7. 7*5= 35

Answer:

6. Line graph

Step-by-step explanation:

It shows how information changes over time

Answer:

xy is median

median=(base1+base2)/2

median=(16+8)/2

median=24/2

median=12

xy=12

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

9514 1404 393

Answer:

  7

Step-by-step explanation:

There are 7 grid intersection points in the feasible region. They are ...

  (dock workers, forklift operators) = (x, y) = ...

  (8, 0), (9, 0), (10, 0), (7, 1), (8, 1), (6, 2), (5, 3)

Wendy can hire 7 different combinations of workers.

Answer:

D. $128.80

Step-by-step explanation:

You find tip by dividing the percentage by 100 and multiply that number by the decimal. ($112)*(.15)= $16.80

Then you add them and get $128.80

Answer:

8x-8

Step-by-step explanation:

if Lana is X year

then that makes Yan 3X-4

the father is twice the sum of their ages

3X-4+X=4X-4

the father being twice

his age should be

8X-8

Answer:

60 ft

Step-by-step explanation:

19. The given height of the triangle is 120 ft.

To find the height of the tree, we will use Mid-segment Theorem since the tree is directly at the middle segment of the triangle from inspection.

Now, this theorem states that the segment that joins the two midpoints of the two sides of a triangle would definitely be parallel to the third side and equal to half of the length of this same third side.

The third side here is 120 ft.. Therefore the tree height = 120/2 = 60 ft

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°

Answer:

22 student are represented in that histogram.

Step-by-step explanation:

correct me if wrong please

Answer:

The second graph.

Step-by-step explanation:

A graph with a relation that is not a function would have more than one y value at any x point. For example, in the second graph, at (-0.5) on the x-axis, the y values are 4 and -4 so its relation does not have a function.

Answer:Answer:

The second graph.

Step-by-step explanation:

A graph with a relation that is not a function would have more than one y value at any x point. For example, in the second graph, at (-0.5) on the x-axis, the y values are 4 and -4 so its relation does not have a function.

Answer:

A

Step-by-step explanation:

Your multiplying 5 times every week so it would be 5 times y

Answer:

x=2;y=2

Step-by-step explanation:

2x+y=6..........1

3x-y=4............2

adding equation1 with equation 2

2x+y+3x-y=6+4

5x=10

x=10/5=2

substituting vslue of y in equation 1

2×2+y=6

y=6-4

y=2

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

Answer:

D. The mean will increase and the median will remain the same

Step-by-step explanation:

First I’d order them from smallest to largest in the data set:

3, 5, 6, 6, 7, 11

The median here is 6.

Then the mean would be 6.33

Then it says if 3 is removed:

5, 6, 6, 7, 11

So we would know the median is 6

The mean here would be 7

So we can see the mean increases but the median stays the same, therefore the answer is D

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

Answer:

119

Step-by-step explanation:

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Answer:

A) 1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2