Help please find the volume of the sphere

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

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Answer: The answer is c log4(x+6)=log4 16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

8x40=320

Step-by-step explanation:

According to the given question we can infer that here are 320 books in the bookcase.

If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.

Total number of books = Number of shelves × Number of books per shelf

Total number of books = 8 shelves × 40 books per shelf

Calculating the multiplication:

Total number of books = 320 books

Therefore, there are 320 books in the bookcase.

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Answer:

Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.

Step-by-step explanation:

Answer:

3*81/100

Step-by-step explanation:

Answer:

∠ ADB = 59°

Step-by-step explanation:

The vertices of a rectangle are right angles, then

∠ ADB + 31° = 90° ( subtract 31° from both sides )

∠ ADB = 59°

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer:

A las 12:57 horas habrá 128 bacterias en el recipiente.

Step-by-step explanation:

Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:

f(x)= aˣ

Siendo a un real positivo, a > 0, y diferente de 1.

Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.

Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:

2ˣ= 128

Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):

log (2ˣ) = log (128)

Aplicando la propiedad de la potencia de los logaritmos:

x* log (2)= log (128)

x= log (128) ÷ log (2)

x= 7

Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:

7 intervalo* 6 minutos= 42 minutos

Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:

12:15 + 42 minutos= 12:57

A las 12:57 horas habrá 128 bacterias en el recipiente.

Answer:

AC=2.35

Step-by-step explanation:

tan25=AC/BC

0.47=AC/5

AC=2.35

hope it helps

have a great day!!

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

Amount of loan pay = $6.840 (Approx.)

Answer:

The width is 45 meters

Step-by-step explanation:

P = 2(l + w) =2 · (95 + 45) = 280

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Answer:

Maybe 74

Step-by-step explanation:

42+64=106

180-106=74

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

Answer:

v = 7

Step-by-step explanation:

So, I used a go.ogle calculator for this, so I don't evidence, but here

hope this helps:)

Answer:

v=7

Step-by-step explanation:

[tex]3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7[/tex]

Answer:

$1207.96

Step-by-step explanation:

The accumulated value for simple interest is defined by the following formula:

FV=PV(1+it)

we have (where x is the present value or PV)

1200= x(1+.05*3)

Solve for x

1200=1.15x

x=1043.478261

We now need to use the equation for annually compounding interest

[tex]FV=PV(1+i)^t[/tex]

We have

[tex]1043.4782(1+.05)^3\\1207.956522[/tex]

which rounds to

$1207.96

Answer:

0.6 is the answer hope this helps

have a nice day bye

Answer:

B C and D

Step-by-step explanation:

common sense

Answer: It's C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No doubt thats the correct answer guys, thank me later

Answer:

1.4073888e+48

Step-by-step explanation:

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

Answer:

Indirect variation

Rule: [tex]y = \frac{18}{x}[/tex]

Step-by-step explanation:

Given

[tex]x \to 2,3,4,5[/tex]

[tex]y \to 9,6,4.5,3.6[/tex]

Required

Determine the type of variation

For direct variation, we have:

y increases, as x increases

In the above function, y decreases, as x increases

Hence, it is not a direct variation

Indirect variation.

In an indirect variation, y decreases, as x increases

And the equation is given as:

[tex]y = \frac{k}{x}[/tex]

Make k the subject

[tex]k =xy[/tex]

Where k is the constant of variation.

For:

[tex](x,y) = (2,9)[/tex]

[tex]k = 2 * 9 = 18[/tex]

For:

[tex](x,y) = (3,6)[/tex]

[tex]k = 3 * 6 = 18[/tex]

For every other values;

[tex]k = x * y = 18[/tex]

Hence, it is an indirect variation.

The rule is:

[tex]y = \frac{k}{x}[/tex]

Substitute 18 for k

[tex]y = \frac{18}{x}[/tex]

Answer:

Given

Distribute:

It should be D but it is missing g at the end, must be typo

Answer:

−2(7+6g) = -14 - 12g

________________

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Answer:

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere

Answer:

c

Step-by-step explanation: