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konstantin123 [22]
3 years ago
7

FAST ASAP!! WILL GIVE BRAINLIST ALOT OF POINTS

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

= 3 3/4 m^2

or 15/4 m^2

Step-by-step explanation:

The base is the triangle.  

A =1/2 bh

A = 1/2  (3 1/3 * 9/4)

Change 3 1/3 to an improper fraction (3*3+1)/3 = 10/3

A = 1/2 * 10/3 *9/4

Re arranging

   =  1/2* 9/3 * 10/4

 = 1/2 (3) 5/2

 =15/4

Now writing as a mixed number

= 3 3/4 m^2

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Angelina_Jolie [31]

Answer:

V = 1/6 cubic units

Step-by-step explanation:

Applying the concept of integrals for volume calculation:

V = \int\limits^b_a {S(x)} \, dx          (1)

V = volume of the solid bounded by x = a and x = b

S(x) = cross section area of the solid, perpendicular to the x axis

From the figure we have that S is the area of a triangle that has base Z and height Y

Area of the triangle = S(x)=\frac{y(x)*z(x)}{2}          (2)

Calculation of y(x) and z(x)

We apply the equation of the point-slope line (plane xy):

Slope = m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}          (3)

Equation of the line = y - y_{1} =m(x-x_{1} )          (4)

Replacing the points (1,0) and (0,1) in (3):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (4):

y-0=(-1)(x-1)

y(x) = -x + 1 (Line A-B)          (5)

We apply the equation of the point-slope line (plane xz):

Slope = m = \frac{z_{2} - z_{1} }{x_{2} - x_{1}}          (6)

Equation of the line = z - z_{1} =m(x-x_{1} )          (7)

Replacing the points (1,0) and (0,1) in (6):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (7):

z-0=(-1)(x-1)

z(x) = -x + 1 (Line A-C)        (8)

Replacing (5) and (8) in (2)

S(x) = \frac{(-x + 1) * (-x + 1)}{2} =\frac{(-x + 1)^{2} }{2}          (9)

Replacing (9) in (1) and knowing that a = 0 and b = 1:

V = \int\limits^1_0 {\frac{(-x + 1)^{2} }{2}} \, dx = \int\limits^1_0 {\frac{x^{2}-2x+1 }{2}} \, dx

V =\frac{1}{2} (\frac{x^{3} }{3} -2\frac{x^{2} }{2} +x)  evaluated from x=0 to x=1

V= \frac{1}{2} (\frac{1}{3} -1 +1) = \frac{1}{6}

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swat32
Construct a mid-point on segment BC

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A bag contains tiles with the letters p-r-o-b-a-b-i-l-i-t-y. tyler chooses a tile without looking and doesn’t replace it. he cho
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Sample space = {p, r, o, b, a, b, i, l, I, t, y} = 11 possible outcomes
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5 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS QUESTION 2.5x - 3 = 2x - 2 <br>I don't get what x is equal to
Luda [366]

Answer:

2

Step-by-step explanation:

Use the property of equality :)

5 0
3 years ago
Evaluate the expression using a calculator:
tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

  • a⁻ⁿ = 1/aⁿ; negative exponent
  • (ab)ⁿ = aⁿ × bⁿ; power of a product rule
  • aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
  • aⁿ/aˣ = aⁿ⁻ˣ; division rule
  • a^{\frac{x}{y} } = \sqrt[y]{a^x}; fractional exponent

<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

I.e., a^{\frac{x}{y} } = \sqrt[y]{a^x}

⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

⇒ 1/\sqrt[4]{2000376}

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

brainly.com/question/11975096

#SPJ1

4 0
1 year ago
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