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3 years ago

1 metel sheet is 1.2 mm thick

1 answer:

5 0

Change them to the same unit.

1.2mm and chang 1.44 cm to 14.4 mm (1 cm = 10 mm)
Now divide
1.44/1.2 and you will get 12 sheets.

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16th term in the geometric sequence 1024, -512, 256, ....

tresset_1 [31]

Answer:-1/32

Step-by-step explanation:

First term=a=1024

Common ratio=r=-512/1024

r=-1/2

Using them formula

Tn=a x r^(n-1)

T16=1024 x (-1/2)^(16-1)

T16=1024 x (-1/2)^15

T16=1024 x -1/32768

T16=-1024/32768

T16=-1/32

5 0

3 years ago

Ben made a model (shown below) of the square pyramid he plans to build when he grows up.

elena-s [515]

Answer:

$336 m^2$

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

$A=A_b + 4A_t$

where:

$A_b=L^2$ is the area of the base, where

L is the length of the base

$A_t=\frac{1}{2}Lh$ is the area of each triangular face, where

h is the height of the face

Substituting,

$A=L^2+2Lh$

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

$A=12^2 +2(12)(8)=336$

4 0

3 years ago

Read 2 more answers

Find the limit<br> lim x->0 (4x/tan2x)

My name is Ann [436]

Answer:

Step-by-step explanation:

hello : here is a solution

3 0

2 years ago

A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th

AlladinOne [14]

$\bf \begin{array}{lllll}
round(x)&\boxed{1}&2&3&\boxed{4}\\\\
wrestlers[f(x)]&\boxed{64}&32&18&\boxed{9}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \qquad 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{9-64}{4-1}\implies \cfrac{-55}{3}$

55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.

6 0

3 years ago

Read 2 more answers

The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

hram777 [196]

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ A=10\\ r=12 \end{cases}\implies 10=\cfrac{\theta \pi 12^2}{360}\implies 10=\cfrac{2\pi \theta }{5} \\\\\\ 20=2\pi \theta \implies \cfrac{20}{2\pi }=\theta \implies \cfrac{10}{\pi }=\theta \implies 3.18\approx \theta$

6 0

3 years ago