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Brut [27]
2 years ago
7

 RST is a right triangle with RS = 12, RT = 20, and ST = 16. What is sin R?

Mathematics
2 answers:
AleksAgata [21]2 years ago
8 0

Answer:

<h2><u>ᎪꪀsωꫀᏒ</u></h2>

Sin R = 16/2

Step-by-step explanation:

Given: RS = 12,

RT = 20, and ST = 16.

sin R = P/H

=> 16/20

aliina [53]2 years ago
6 0

\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}

\\ \sf\longmapsto sinR=\dfrac{ST}{RT}

\\ \sf\longmapsto sinR=\dfrac{16}{20}

Option B

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PLEASE HELP
kolbaska11 [484]

Answer:

  • a) P(x) = 32000*1.04^x
  • b) $37435
  • c) During year 7

Step-by-step explanation:

<u>Given</u>

  • Initial pay = $32000
  • Increase rate = 4%

a. <u>Formula</u>

  • P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

  • P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

  • 40000 = 32000*1.04^x
  • 1.04^x = 40000/32000
  • 1.04^x = 1.25
  • log 1.04^x = log 1.25
  • x = log 1.25 / log 1.04
  • x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0
3 years ago
Problem page three consecutive even integers have a sum of 36 . find the integers.
ANTONII [103]
3 consecutive even integers = 36 .
ANSWER 10+12+14= 36
6 0
3 years ago
Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th
pochemuha

Answer:

Polynomial expression that represents the area of blanket:

A(x)=(6x^2+5x-21)cm^2

If x=2: A(2)=13cm^2  

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

A=lw

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

l=(3x+7)cm

w=(2x-3)cm

Substitute them into  A=lw:

 A(x)=(3x+7)(2x-3)

Then:

Use Distributive property (Remember the Product of powers property: b^a*b^c=b^{(a+c)} ):

A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21

Add like terms:

A(x)=(6x^2+5x-21)cm^2 (Simplied form)

Evaluate x=2:

A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2

6 0
3 years ago
3(x-2) write in a word ​
lina2011 [118]

Answer:

3x-6

Step-by-step explanation:

Thats the answer. .

3 0
3 years ago
Read 2 more answers
Is (-5,2), (5,2), (0,-3), (3,-8), (-7,4), (-1,-1) a function
Alja [10]
<h3>Answer: Yes it is a function</h3>

Each point listed is of the form (x,y). The x coordinate is always listed first. We dont have any repeat x values, so this is enough to conclude we have a function.

If you wanted to, you could graph each point given on the same coordinate grid. Note how none of the points stack on top of each other. Or put another way, note how it is impossible to draw a single straight line through more than one point graphed. This graph passes the vertical line test.

A function is where plugging in any x value leads to exactly one y value.

If you had two points like (5,2) and (5,7) then the input x = 5 leads to more than one output y = 2 and y = 7 at the same time, making this example not a function.

4 0
3 years ago
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