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densk [106]
3 years ago
10

In triangle STU, u2 = s2 + t2.

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

(B) The measure of angle SUT is equal to 90 degrees

Step-by-step explanation:

It is given that in In triangle STU, u^2=s^2+t^2.

We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

(Hyp)^2=(Base)^2+(Perpendicular)^2

that is:

u^{2}=s^{2}+t^{2}

where u is the hypotenuse, s is the base and t is the perpendicular.

Thus, the angle SUT should be of 90°.

Thus, The measure of angle SUT is equal to 90 degrees.

Hence, option B is correct.

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Write as a product: 25a2−0.01b10
Yakvenalex [24]

Answer:

We conclude that:

25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)

Step-by-step explanation:

Given the expression

25a^2-0.01b^{10}

Rewrite 25a^2-0.01b^{10} as \left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2

so

25a^2-0.01b^{10}=\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2

Apply difference of two squares formulas:

x^2-y^2=\left(x+y\right)\left(x-y\right)

so

\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2=\left(5a+\sqrt{0.01}b^5\right)\left(5a-\sqrt{0.01}b^5\right)

                               =\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)    ∵ \sqrt{0.01}=0.1,

Therefore, we conclude that:

25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)

7 0
2 years ago
PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!
Monica [59]

Answer:

side CB

Step-by-step explanation:

draw triangles ABC and ACD next to each other

The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD

4 0
2 years ago
Read 2 more answers
Maya earns 43 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The am
natima [27]

Answer:

56

Step-by-step explanation:

It says that Maya makes one dollar more for each book that she sells so if she sells 13 books, she will make 13 dollars more than her weekly earning which is 43 dollars.  So to find the answer, you would need to add 13 + 43 which would equal 56 dollars.

3 0
3 years ago
The diameter of a plant at its equator is 267,100 kilometers. estimate using scientific notation
yaroslaw [1]

Answer:

2670

Step-by-step explanation:

7 0
3 years ago
What is the answer to -2(4-m)=10
USPshnik [31]
I assume what you want ti find is the value of m?


You try to have an quation of the form "m=" where on the one side there is nothing but m.

so first, let's get rid of the bracket:

-2(4-m)=10

-8+2m=10

now, let's add 8 to both sides:

-8+8+2m=10+8

2m=18

and divide by 2:

m=9

and that's our solution

6 0
2 years ago
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