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Sergeeva-Olga [200]
2 years ago
10

Help, please!!! Simplify. (4/9)^2=

Mathematics
1 answer:
alina1380 [7]2 years ago
8 0

Answer:

Exact form: \frac{16}{81}

Decimal form: 0.1975308

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HELP PLEASE ASAP I WILL MARK BRAINLIEST
prisoha [69]

Answer:

BC = 24

Step-by-step explanation:

FD = 36, FE = 15 and CD = 18

By secant theorem.

DE • DF = CD • DB

(36 - 15) • 36 = 18 • DB

DB = 42

BC = DB - CD

BC = 42 - 18

BC = 24

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

3 0
2 years ago
For a-b, reduce to the least non-negative residue
Olenka [21]

Answer:

  a.  6

  b.  9

Step-by-step explanation:

a. The product modulo 7 can be found from the product of the individual numbers modulo 7:

  (88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7

  = (4·4·1·3) mod 7 = 48 mod 7 = 6

__

b. Powers of 4 mod 11 repeat with period 5:

  4 mod 11 = 4

  4^2 mod 11 = 5

  4^3 mod 11 = 9

  4^4 mod 11 = 3

  4^5 mod 11 = 1

So, 4^83 mod 11 = 4^3 mod 11 = 9

3 0
3 years ago
I need help on this question
rosijanka [135]

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

7 0
3 years ago
Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
Explain how a(b + c ) can rewritten as (b + c) and as ba + ca
mart [117]

Answer:

The distributive property makes it possible

Step-by-step explanation:

Step one:

given the expression a(b + c )

the first step is to open the bracket, that is multiply all the terms in the bracket by a, so multiply b by a and c by a also.

Step two:

Thus, this property is called the distributive property of multiplication

a*b+ca

5 0
3 years ago
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