Simplify 6(1/4+5/2)-2 with an explanation

Given:

A circle with diameter 9 cm.

To find:

The area of the circle.

Solution:

The area of a circle is:

[tex]A=\pi r^2[/tex]                   ...(i)

Where r is the radius.

We know that, the diameter of a circle is twice than its radius.

The diameter of the given circle is 9 cm.

[tex]r=\dfrac{9}{2}[/tex]

[tex]r=4.5[/tex]

Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get

[tex]A=(3.14)(4.5)^2[/tex]

[tex]A=(3.14)(20.25)[/tex]

[tex]A=63.585[/tex]

[tex]A\approx 63.6[/tex]

Therefore, the area of the given circle is 63.6.

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:

∠CBA = 132

Step-by-step explanation:

Bisectors split up an angle into two identical angles

Thus, 7x - 11 = 2x + 44

This is the equation we will use to solve for x

7x - 11 = 2x + 44

step 1 add 44 to each side

44 + 11 = 55

-11 + 11 cancels out

we now have 7x = 2x + 55

step 2 subtract 2x from each side

7x - 2x = 5x

2x - 2x cancels out

we now have 5x = 55

step 3 divide each side by 5

5x / 5  = x

55 / 5 = 11

we're left with x = 11

The question is asking for the measure of ∠CBA

To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )

7(11) - 11

7 * 11 = 77

77 - 11 = 66

66 * 2 = 132

Answer:

3(10 × 14) cause its basically telling you to multiply

Answer:9

Step-by-step explanation:

You have to add it together

Answer:

6.2

Step-by-step explanation:

15+16=31

31/5=6.2

Step-by-step explanation:

[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

Answer: 5

Step-by-step explanation:

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

Answer:

216in

Step-by-step explanation:

6 + 8 + 10 = 24

24 * 9 = 216

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}

Answer:6300mm

Step-by-step explanation:

Answer:

1/8 and 2/1 or 1:8 and 2:1

Step-by-step explanation:

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

5

Step-by-step explanation:

f(n)=3n^2-7

f(-2)=3(-2)^2-7

f(-2)=3(-2)(-2)-7

f(-2)=3(4)-7

f(-2)=12-7

f(-2)=5

Answer:

Paul needs to work for 50 weeks.

Step-by-step explanation:

1,500+200= 1700

14,200-1,700= 12,500

12,500/125= 100

100/2= 50

let me know if this is wrong.

The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

I would say b as it's easier to group and find a common denominator

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,

2.5 * 16 = 40

40 * 16 = 640

640 * 16 = 10,240

Meaning that the values have a common ratio of 16, and are increasing exponentially.

Answer:

3 and -(-2)

Step-by-step explanation:

Answer:

La respuesta a cada una de las preguntas es:

Step-by-step explanation:

a) Para calcular los kilogramos de naranjas vendidos durante el día, al tener el costo por kilogramo (14 pesos/kg) y la venta total (1124 pesos), puedes calcular de la siguiente forma:

b) Para identificar el costo de 3/4 de naranja, debes multiplicar 3/4 por el valor del kg de naranja (14 pesos/kg):

c) Si la señora compra un peso total de 0.3 kg de naranja, para obtener el costo debes realizar la misma operación del ejercicio anterior, es decir, multiplicar los kilos comprados (0.3 kg) por el costo de cada kilogramo de naranja (14 pesos/kg):

d) Para calcular el costo de 5 kg de naranja con un descuento del 10%, debemos multiplicar el costo por kilogramo (14 pesos/kg), por el número de kilogramos comprados (5 kg), y luego por el porcentaje restante tras el descuento (90%), puesto que el total es el 100% y le restamos el 10% de descuento, nos queda el 90%:

e) De entre todos los tipos de números que hay, dentro de los ejercicios resueltos se hace uso de los números racionales (por el uso de fraccionarios) y de los números naturales (por el uso de los números enteros positivos).

Answer:

15%

Step-by-step explanation:

You kind of have two ways to do this:

Way 1:

Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.

You can divide 100 by 6.66666667, and get 15%,

Way 2:

Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%

Hope that helps :)

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer: [tex]12< x \leq 20[/tex]

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

[tex]x\leq20[/tex]

and it starts from the number 12 i.e.

[tex]12< x[/tex]

In interval notation it is

[tex]12< x \leq 20[/tex]