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Zolol [24]
3 years ago
11

PLEASE ANWSER QUICK PLS PLS

Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer:

D. m/_ 4 is 137

Step-by-step explanation:

If you add 137 and 43 you get 180 which is the line's angle.

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A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of cent
Minchanka [31]

9514 1404 393

Answer:

  20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

  x^2 +12^2 = 24^2

  x^2 = 576 -144 = 432

  x = √432 ≈ 20.8 . . . cm

The other leg is about 20.8 cm.

_____

<em>Additional comment</em>

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

7 0
2 years ago
Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0​
creativ13 [48]

Applying the differentiation rule, it can be obtained that:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

\frac{d}{dt}(e^{mt})=me^{mt}.

Given that r(t)=(e^t,e^{2t}).

So, differentiating r(t)=(e^t,e^{2t}) with respect to t, we get: r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right).

So, using the above formula \frac{d}{dt}(e^{mt})=me^{mt}, we get: r'(t)=(e^t,2e^{2t}).

Now, substituting t=t_0=0 in r(t)=(e^t,e^{2t}) and r'(t)=(e^t,2e^{2t}), we obtain:

r(t_0=0)=(e^0,e^{2\times 0})=(1,1) and r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2).

Therefore, applying the differentiation rule, we get:

r'(t)=(e^t,2e^{2t}), r(t_0)=(1,1) and r'(t_0)=(1,2).

To know about the differentiation rule, refer:

brainly.com/question/25081524

#SPJ9

5 0
1 year ago
3(2x+1)=5(2-x)+3(x+4) <br><br> X=?
Len [333]
X=2 3/8 or you can write it x=2.375
8 0
3 years ago
Read 2 more answers
If an automobile is traveling 450 yards per 15 seconds, how many feet will it go in a third of a second?
guapka [62]
Since there is three feet in a yard you multiple 450 by 3 which equals 1350 then you multiple that by two because you multiplying the time by 2 which equals 2700.
7 0
3 years ago
John needs a computer for his summer class. The computer costs 385 but since he is still in school, he gets a 30% discount. What
vova2212 [387]

Answer:

269.50, you could search it up

7 0
3 years ago
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