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hoa [83]
4 years ago
9

Last minute help me out please and thank you

Mathematics
2 answers:
lukranit [14]4 years ago
6 0

Answer:

5.06 in^2

Step-by-step explanation:

Triangle Area: (b*h)/2

4 1/2=9/2

9/2=4.5

2 1/4=9/4

9/4=2.25

4.5*2.25=10.125

10.125/2=5.0625

5.0625 rounded to the nearest hundredth is 5.06

Andreas93 [3]4 years ago
3 0

Answer:

<h2>Area = 5.06 in²</h2>

Step-by-step explanation:

Area of a triangle is given by

A =  \frac{1}{2} bh

Where

b is the base of the triangle

h is the height

From the question

base = 4 \frac{1}{2}  \: in =  \frac{9}{2}  \: in \\  \\ height = 2 \frac{1}{4}  \: in \:  =  \frac{9}{4}  \: in

Substitute the values into the above formula and solve for the area

We have

A =  \frac{1}{2}  \times  \frac{9}{2}  \times  \frac{9}{4}  =  \frac{81}{16}  \\  = 5.0625

We have the final answer as

Area = 5.06 in² to the nearest hundredth

Hope this helps you

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A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
Simplify (−4.5)(−6)(5.4).
Fynjy0 [20]
The answer to (-4.5)(-6)(5.4)= 137.7
4 0
3 years ago
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest hundredth.
kirill [66]

Answer:

D

Step-by-step explanation:

diameter of 1 circle = 21.3/3= 7.1

radius of 1 circle= 7.1/3=3.55

area of 1 circle =πr^2=3.14× (3.55)^2=39.57

area of 3 circle= 39.57×3=118.72

therefore,area of shaded portion= area of 3 circle =118.72

7 0
3 years ago
Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
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Where <em>a</em> is some constant.

We can let:
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By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

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2 years ago
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MArishka [77]

Answer:

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Step-by-step explanation:

-3x - 2 > 5

+ 2 + 2

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x < -2⅓ [Anytime you <em>divide</em> or <em>multiply</em> by a negative, reverse the inequality symbol.]

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I am joyous to assist you anytime.

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