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liq [111]
2 years ago
14

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16,

and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16. Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?
Mathematics
2 answers:
satela [25.4K]2 years ago
7 0

Answer:

<p

Step-by-step explanation:

Advocard [28]2 years ago
3 0

Answer:

P

Step-by-step explanation:

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Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
daser333 [38]
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

4 0
3 years ago
Read 2 more answers
write three multiplication equations in which the product will have two zeros. use 50 as one of the factors
zysi [14]
50x2=100 50x4=200 50x6=300
7 0
3 years ago
Read 2 more answers
Pls help.....................
scZoUnD [109]

Answer:

351 carrots

Step-by-step explanation:

13 = 1 tens + 3 units

27 = 2 tens + 7 units

<h3>13 × 27</h3>

13 × 27 = 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27 + 27

13 × 27 = 351

Conclusion:

Total Carrots is 351 carrots.

4 0
2 years ago
Solve the equation. Then check your solution. 5 /9 d = 9 /10 a. 31 / 90 c. 1/2 b. 1 31 /90 d. 50 /81
miskamm [114]

Answer:

d in (-oo:+oo)

(5/9)*d = 9/10 // - 9/10

(5/9)*d-(9/10) = 0

(5/9)*d-9/10 = 0

5/9*d-9/10 = 0 // + 9/10

5/9*d = 9/10 // : 5/9

d = 9/10/5/9

d = 81/50

d = 81/50

Step-by-step explanation:

8 0
3 years ago
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Nolan begins a savings account with $100 at 2% interest
gogolik [260]
Interest is 100*(2/100)
$2
3 0
3 years ago
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