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goldfiish [28.3K]
3 years ago
11

Which measures are the sides lengths of a right triangle?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

b)

Step-by-step explanation:

a) 4+12>8

12+8>4

4+8=12

NO

b) 5+12>10

10+5>12

12+10>5

YES

c) 16+4>6

6+4<16

NO

d) 30+12>6

12+6<30

NO

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mixas84 [53]
136 would be the answer
5 0
3 years ago
Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
Find the area of each regular polygon. Round to the nearest tenth.
miskamm [114]

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

A=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length of the triangle.

Putting a=14, we get

A=\dfrac{\sqrt{3}}{4}(14)^2

A=\dfrac{\sqrt{3}}{4}(196)

A=84.87049

A\approx 84.9

Therefore, the area of given regular polygon is 84.9 cm².

6 0
3 years ago
The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in sec
kow [346]

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )

8 0
3 years ago
Which equation represents the situation Please help me
Virty [35]

100 dollars should be a one time fee so that has to be added to the equation, and since it is a one time fee it should not have a variable next to it.


It also says that you have to pay 720 dollars per month, so it has to have a variable next to it to show the number of months that she needs to pay that amount of money.


The answer should be D.

y= 720x +100

4 0
3 years ago
Read 2 more answers
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