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emmainna [20.7K]
3 years ago
6

Look at the figure below:

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

Angle 50 and common side, in triangle MNT the sum of angles m and t is 130. In triangle PMN the sum of angles n, m is 130

Step-by-step explanation:

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Titiknya 10 dan 8<br> ∫x-8)( x-9) (x-10) dx
Sav [38]

\displaystyle\int_8^{10}(x-8)(x-9)(x-10)\,\mathrm dx

Consider the substitution,

y=x-9\implies\begin{cases}y-1=x-10\\y+1=x-8\\\mathrm dy=\mathrm dx\end{cases}

so that the integral is equivalent to

\displaystyle\int_{-1}^1y(y+1)(y-1)\,\mathrm dy

Notice that

f(y)=y(y+1)(y-1)\implies f(-y)=-y(-y+1)(-y-1)=-y(y-1)(y+1)=-f(y)

which means f(y) is odd, so

\implies\displaystyle\int_{-1}^1f(y)\,\mathrm dy=0

Perhaps more work than necessary, but it does make it easier to see that the original integrand exhibits some symmetry about x=9.

6 0
3 years ago
3y-2(y+5)=5y-22 what is the answer. I got y=8
KiRa [710]

Well actually when i did this equation i got y=3 so you might want to recheck your answer and take another look at the steps you took.

Hopefully this helped you ^0^

4 0
2 years ago
Read 2 more answers
A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters
vladimir1956 [14]

Answer:

The total number of possible outcomes if the code has 3 letters is 64

Step-by-step explanation:

The keypad has only the letters A-D, that is, A,B,C,D.

To calculate the total number of possible outcomes if the code has 3 letters,

let these spaces represent the code _ _ _

For the first space, there are 4 possibilities (since we have 4 letters)

For the second space, we also have 4 possibilities (since there is no restriction on repetition)

Also, we have 4 possibilities for the last space.

Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.

3 0
3 years ago
If triangle ABC is isosceles, what is the value of angle A ?
Tomtit [17]
D cause 51+51=102 because yeah I think thats how you do it
6 0
3 years ago
When Lyla had one cat, she needed to serve 2/5 of a can of cat food each day. Now that Lyla has adopted a second cat, she needs
bazaltina [42]
40% more food is needed to feed the other cat so they are using 80% of the food
8 0
3 years ago
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