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olga55 [171]
3 years ago
7

I need help with math ​

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

x = 32cos(18) = 30.434

Step-by-step explanation:

Use the cosine function (adjacent / hypotenuse)

cos(18) = \frac{x}{32}

x = 32cos(18) = 30.434

*make sure your calculator is in degrees mode

fomenos3 years ago
5 0

Answer:

32(cos(18))=x

Step-by-step explanation:

cos(18)=x/32

32(cos(18))=x

Type in calculator for decimal answer.

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Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
Identify the 42nd term of an arithmetic sequence where a1 = -12 and a27 = 66
Dmitry_Shevchenko [17]
The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence  , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.
7 0
3 years ago
Read 2 more answers
A restaraunt has 1,600 milligrams and there’s gotta be 10 people how many grams do you need
natita [175]
You need 1.6 Grams. Hope this helped :P
8 0
3 years ago
A television with a price of
Digiron [165]

Answer:

C. 300=60+30w

Step-by-step explanation:

Given:

Price of television-$300

Initial Payment-$60

Weekly payments-$30

Let weekly payments be w:

The initial payment plus the weekly installments should be equivalent to the television price:

300=60+30w\\\\240=30w\\\\w=8

The number of weekly payments is 8 weeks and the equation to solve for w is

300=60+30w

6 0
3 years ago
0.5w+3x,when w=6,x=5
Nina [5.8K]

Answer:

3 + 15 =

18

Step-by-step explanation:

0.5 x 6 =3

3 x 5 = 15

5 0
2 years ago
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