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VLD [36.1K]
4 years ago
15

One side is 8 cm

Mathematics
1 answer:
musickatia [10]4 years ago
8 0

Answer:

The mass of the cubic granite block  is 1408 g .

Step-by-step explanation:

Formula

Volume of a cube = a³

Where a is the side of the cube .

Density = \frac{Mass}{Volume}

As given

one side of the cube is 8 cm .

(The figure is shown below.)

Thus

Put in the formula

Volume of a cubic granite block  =  8 × 8 × 8

                                                       = 512 cm³

As given

The density of cube is 2.75 g/cm³.

Put in the formula

2.75 = \frac{Mass}{512}

Mass = 2.75 × 512

Mass = 1408 g

Therefore the mass of the cubic granite block is 1408 g .

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A student earned grades of​ B, B,​ A, C, and D. Those courses had these corresponding numbers of credit​ hours: 4,​ 5, 1,​ 5, 4.
antiseptic1488 [7]

Answer:

<h2> 1.69</h2>

Step-by-step explanation:

Let the five courses with their corresponding credit hours be represented as shown;

FST 201 = 4

FST 203 = 5

FST 112 = 1

FST 219 = 5

FST 223 = 4

If a student earned grades of​ B, B,​ A, C, and D respectively in those courses with the following grading system  A =​4, B =​3, C =​2, D =​1, and F =0, before we can get the student GPA, we need to know the total credit point for the five courses.

Credit point for each course = Number of credit hour * point for each grade

FST 201 = 4 * 4 = 16points (A)

FST 203 = 5 * 4 = 20points (A)

FST 112 = 1 * 4  = 4points (A)

FST 219 = 5 * 4 = 20points (A)

FST 223 = 4 * 4 = 16points (A)

Total credit point = 16+20+4+20+16 = 76points

Total credit point gotten by the student is calculated as thus;

FST 201 = 4 * 3 = 12points (B)

FST 203 = 5 * 3 = 15points (B)

FST 112 = 1 * 4  = 4points (A)

FST 219 = 5 * 2 = 10points (C)

FST 223 = 4 * 1 = 4points (D)

Total credit point gotten by the student = 45points.

student's Grade Point Average​ (GPA) = Total credit point/Total credit point gotten by the student = 76/45 = 1.69 (to 2dp)

5 0
4 years ago
Ana ha comprado libros, todos del mismo precio, por valor de 120 euros. El librero le regala 3 libros por lo que cada libro le c
lidiya [134]

Answer:

El primer paso será darle un nombre a nuestras variables:

x= Numero de libros comprados inicialmente

y=Precio inicial de los libros

Ahora analizamos el enunciado,

Lorena ha comprado libros todos del mismo precio por valor de 120 €

x*y=120 € (1)

El librero le regala 3 libros por lo que en realidad cada libro que cuesta 2 € menos

(x+3)(y-2)=120€ (2)

Tenemos entonces dos ecuaciones con dos incógnitas, así que podemos resolver,

Despejamos en (1)

x=120/y

Sustituimos en (2)

(120/y +3)(y-2)=120

120 - 240/y + 3y -6 =120

3y-240/y =120-120+6

3y -240/y =6

y- 80/y=6

y²-80=6y

y²-6y-80=0

Resolvemos la ecuación de segundo grado

a=1

b=-6

c=-80

Aplicando la resolvente,

(6+- √36+320)/2

6+-√356/2

(6+-18,86)/2

Como el valor de y no puede ser negativo la unica respuesta válida será:

y=12,43

Cada libro le costo 12,43€

Sustituyendo en (1)

x=120/12,43

x=9,65 como no puede ser un número racional

x=9

Lorena ha comprado 9 libros

6 0
3 years ago
Brenna had a gross income of $2158.22 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted
Zepler [3.9K]
FICA stands for Federal Insurance Contributions Act and FICA taxes are deductions from gross earnings at a rate of 7.65%. If Brenna earns monthly at a gross of $2158.22, then her deduction for FICA is $165.10383 which is 7.65% from her gross income ($2158.22 x 0.0765).
8 0
4 years ago
Read 2 more answers
25, 22, 21, 23, 24 find the mean
Anit [1.1K]

Answer:

23

Step-by-step explanation:

25+22+21+23+24= 115

115/5 = 23.

3 0
3 years ago
Read 2 more answers
If the tip of the arrow moves to (0,2), what is the center of rotation?
LiRa [457]
The answer is A. (2,2)....
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4 years ago
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