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3 years ago

Need help with this please and thank you

Mathematics

1 answer:

Elis [28]3 years ago

7 0

Answer:

the answer is B

Step-by-step explanation:

Each mark represents 20%, you move right three times. 20x3 = 60

60%

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I need help figuring out what I did wrong

rewona [7]

Answer:

Step-by-step explanation:

Using the addition formula for sine

sin(a + b) = sinacosb + cosasinb

and the exact values

sin( $\frac{\pi }{4}$ ) = cos( $\frac{\pi }{4}$ ) = $\frac{\sqrt{2} }{2}$ , cos( $\frac{\pi }{6}$ ) = $\frac{\sqrt{3} }{2}$ , sin( $\frac{\pi }{6}$ ) = $\frac{1}{2}$

Note that $\frac{5\pi }{12}$ = $\frac{\pi }{4}$ + $\frac{\pi }{6}$ , thus

sin( $\frac{5\pi }{12}$ )

= sin( $\frac{\pi }{4}$ + $\frac{\pi }{6}$ )

= sin( $\frac{\pi }{4}$ )cos( $\frac{\pi }{6}$ ) + cos( $\frac{\pi }{4}$ )sin( $\frac{\pi }{6}$ )

= ( $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ ) + ( $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$ )

= $\frac{\sqrt{6} }{4}$ + $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}+\sqrt{2} }{4}$ → D

4 0

3 years ago

Read 2 more answers

Simplify the expression. 55−4⋅5+12

alexandr1967 [171]

Answer:

62.5.

Step-by-step explanation:

Given:

The expression to simplify is given as:

55 - 4.5 +12

We have to use PEMDAS method in order to simplify this.

P stands for parenthesis, E for exponents, M/D stands for Multiplication or Division and A/S stands for Addition or Subtraction.

P has the highest priority followed by E followed by M or D which ever comes first followed by A or S which ever comes first.

Here, the first operation we encounter is subtraction S.

First, we will subtract 4.5 from 55. So, 55 - 4.5 = 50.5

Next operation is addition A.

Now, we will add the result to 12. So, 50.5 + 12 = 62.5

Therefore, the answer is 62.5.

4 0

4 years ago

WILL MARK BRAINLIEST What is the solution to the system of equations represented by the two equations? <img src="https://tex.z-d

11111nata11111 [884]

Answer:

x=3, y =2

(3,2)

Step-by-step explanation:

y =2/3 x

y = -2/3 x +4

set them equal to each other y=y

2/3 x = -2/3 x + 4

add 2/3 x to each side

2/3 x+2/3x = -2/3x + 2/3 x + 4

4/3 x = 4

multiply by 3/4 on each side to clear the fraction

3/4 * 4/3 x = 3/4 * 4

x = 3

now we need to find y

y = 2/3 x

y = 2/3 * 3

y =2

7 0

3 years ago

1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)

kozerog [31]

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

Binary to Decimal Conversion (Positional Notation Method)

Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number.
Sum all the values obtained for each digit.
Express the number as a decimal number by placing subscript 10 after it.

For a binary number with 'n' digits:

The right-most digit is multiplied by 2⁰
The left-most digit is multiplied by $\sf 2^{n-1}$

For example, to convert the binary number 111001₂ into a decimal:

$\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}$

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

$=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)$

$= 32+16+8+0+0+1$

$= 57$

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

Question (a)

$\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}$

Therefore, 11₂ = 3₁₀

Question (b)

$\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}$

Therefore, 110₂ = 6₁₀

Question (c)

$\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}$

Therefore, 111₂ = 7₁₀

Question (f)

$\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}$

Therefore, 10011₂ = 19₁₀

Question (i)

$\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181$

Therefore, 10110101₂ = 181₁₀

8 0

2 years ago

Read 2 more answers

How would you solve 4(y – 3y) – 19 = 32

Fittoniya [83]

Answer:

y = - 6.375

Step-by-step explanation:

Step 1:

4 ( y - 3y ) - 19 = 32 Equation

Step 2:

4y - 12y - 19 = 32 Multiply

Step 3:

- 8y - 19 = 32 Combine Like Terms

Step 4:

- 8y = 51 Add 19 on both sides

Step 5:

y = 51 ÷ - 8 Divide

Answer:

y = - 6.375

Hope This Helps :)

6 0

3 years ago