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2 years ago

Consider the enlarged triangle.

Mathematics

2 answers:

den301095 [7]2 years ago

6 0

Answer:

it a c and e

Step-by-step explanation:

i took the assignment

adelina 88 [10]2 years ago

5 0

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

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Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,

vichka [17]

K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
k=8

5 0

3 years ago

1/4( -1 + 4)+3/5 please help ME missing work!

nignag [31]

Answer:

1.35

Step-by-step explanation:

I believe this is right but it could be wrong. Hope this helps! <3

3 0

2 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

$\displaystyle V=\pi r^2h$

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

$\displaystyle A=\pi r^2+2\pi rh$

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

2 years ago

Please help and thank you

d1i1m1o1n [39]

# ov wekz..... \_ >_○ _/

5 0

2 years ago

Calculate 0.05181 ÷ 3.14 and write your answer

balandron [24]

Given:

0.05181 ÷ 3.14 = 0.0165

i) 0.02

ii) 0.016

iii) 0.0165

<h3>What is a mathematical expression ?</h3>

In mathematics, an expression or mathematical expression is a finite combination of symbols well formed according to context-dependent rules. Mathematical symbols can be used to define numbers (constants), variables, operators, functions, parentheses, punctuation marks, and groupings that help define the order of operations and other aspects of logical syntax.

Many authors distinguish between an expression and a formula, the first meaning a mathematical object and the second a statement about mathematical objects.

To learn more about mathematical expression, visit;

brainly.com/question/14462529

#SPJ9

5 0

7 months ago