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ale4655 [162]
3 years ago
5

What are the lengths?

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0
In both the figures we have a Right Angled Triangle.

Two sides of the right angled triangles are given and we are to find the Third side. This can be done using the Pythagoras Theorem, which states:

Hypotenuse² = Base² + Perpendicular²

For 1st figure, we have
Base = 21
Perpendicular = 20

So, 

Hypotenuse² = 20² + 21² = 841
⇒
Hypotenuse = 29 (1st option is correct)

For 2nd Image, we have
Base= 6
Hypotenuse = 10

So, we can write:

10² = 6² + Perpendicular²
Perpendicular² = 64
⇒
Perpendicular = 8 (Option Fourth)
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Need the answer to this
ki77a [65]

Answer:

\frac{2}{(x + 3)}

Step-by-step explanation:

\frac{2x - 10}{x^{2} - 2x - 15}

pull 2 from top

\frac{2(x - 5)}{x^{2} - 2x - 15}

we are looking to cancel (x-5) so will start with

(x - 5)(x + 3), selected (x+3) because the sign must be negative and must multiply to -15

\frac{2(x - 5)}{(x - 5)(x + 3)}  

now cancel (x-5)

\frac{2}{(x + 3)}

4 0
2 years ago
A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental cor
Irina18 [472]

Answer:

A or D

Step-by-step explanation:

because I dont know what the experiment is just that it was grown differently

5 0
3 years ago
Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho
riadik2000 [5.3K]

Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

6 * 4 = 24

<h2>Mark me Brainliest Please.</h2>
8 0
2 years ago
Evaluate the expression<br> 15<br> X - 6, when x= 4.<br> es
Daniel [21]

Answer:

54

Step-by-step explanation:

I'm assuming the equation looks like this: 15x - 6

15*4 - 6

60 - 6

54

OR if it's just x-6 then the answer is -2

Hope this is what you were asking, have a nice day! :)

7 0
2 years ago
Evaluate s(t)=∫t−[infinity]||r′(u)||du for the bernoulli spiral r(t)=⟨etcos(8t),etsin(8t)⟩. It is convenient to take −[infinity]
sveta [45]

\vec r(t)=\langle e^t\cos8t,e^t\sin8t\rangle

\|\vec r'(t)\|=\sqrt{(e^t(\cos8t-8\sin8t))^2+(e^t(\sin8t+8\cos8t))^2}=e^t\sqrt{(\cos8t-8\sin8t)^2+(\sin8t+8\cos8t)^2}

\implies\|\vec r'(t)\|=e^t\sqrt{65}

Then

s(t)=\displaystyle\sqrt{65}\int_{-\infty}^te^u\,\mathrm du=\sqrt{65}e^t

3 0
3 years ago
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