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lord [1]
3 years ago
8

A plot of land is in the shape of a triangle. If one side is x​ meters, a second side is

Mathematics
1 answer:
Rudiy273 years ago
8 0
First side is = x
Second side is = 3x-3
Third side is = 44x - 66

Perimeter = Sum of sides
P = x + 3x + 44x -66 -3
P = 48x - 69
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Find the vertex for this function. f(x)=-2x^2+8x-11​
loris [4]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)

3 0
3 years ago
How far will the weight at the end of the cord move when the drum rotates 60° counterclockwise?
Natali [406]

Answer:

5.2 ft.

Step-by-step explanation:

First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.

Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.

With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move  is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.

4 0
3 years ago
Answer asap
Lana71 [14]
Two figure in front

h=16+17 = 33 m
l=18 m
width = 13 m
Volume = lwh = 18*13*33 =7722 m^2

Two figures at the back

h=16 m
l=18+18 =36 m
width = 15 m

Volume = lwh =36*15*16 =8640 m^2

Total volume = 7722+8640 = 16362 m^2
5 0
3 years ago
The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the
Mars2501 [29]

Answer:

x = 11.85

Step-by-step explanation:

x^2+(x-4)^2=202

x^2+(x-4)(x-4)=202

x^2 + x^2 - 4x - 4x + 16 = 202

2x^2 - 8x + 16 = 202

2x^2 - 8x - 186 = 0

Apply the quadratic equation and you'll get x as:

x=11.85 or x=-7.85

x cannot be negative

therefore x = 11.85

3 0
2 years ago
A rectangle is 4xcm wide and 2cm long what do you notice
deff fn [24]

The width of the rectangle is twice the length of the rectangle

<h3>How to compare the dimensions of the rectangle?</h3>

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

Read more about rectangles at:

brainly.com/question/25292087

#SPJ1

4 0
1 year ago
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