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2 years ago

Find the surface area of the triangular prism.

Mathematics

2 answers:

dsp732 years ago

6 0

Answer:

The surface area is:

$120 {cm}^{2}$

Step-by-step explanation:

There are two triangles, and three rectangles in this prism. The area of a triangle is:

$\frac{1}{2} base \times height$

and the area of a rectangle is:

$length \times width$

Therefore the area of the triangle is:

$\frac{1}{2} (5) \times 12 \\ 2.5 \times 12 = 30 \\ 30 \times 2 = 60$

This value is multiplied by 2 because there are 2 triangles.

The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).

Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =

$120 {cm}^{2}$

Julli [10]2 years ago

4 0

Answer:

Step-by-step explanation:

Surface area formula

= bh + L(s1,s2,s3)

= 5(12) + 2(12+13 +5)

= 120

Therefore the surface are is 120cm

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Let w(s,t)=f(u(s,t),v(s,t)) where u(1,0)=−6,∂u∂s(1,0)=5,∂u∂1(1,0)=7 v(1,0)=−8,∂v∂s(1,0)=−8,∂v∂t(1,0)=6 ∂f∂u(−6,−8)=−1,∂f∂v(−6,−8

Blababa [14]

$w(s,t)=f(u(s,t),v(s,t))$

From the given set of conditions, it's likely that you are asked to find the values of $\dfrac{\partial w}{\partial s}$ and $\dfrac{\partial w}{\partial t}$ at the point $(s,t)=(1,0)$ .

By the chain rule, the partial derivative with respect to $s$ is

$\dfrac{\partial w}{\partial s}=\dfrac{\partial f}{\partial u}\dfrac{\partial u}{\partial s}+\dfrac{\partial f}{\partial v}\dfrac{\partial v}{\partial s}$

and so at the point $(1,0)$ , we have

$\dfrac{\partial w}{\partial s}\bigg|_{(s,t)=(1,0)}=\dfrac{\partial f}{\partial 
u}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial u}{\partial s}\bigg|_{(s,t)=(1,0)}+\dfrac{\partial f}{\partial 
v}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial v}{\partial s}\bigg|_{(s,t)=(1,0)}$
$\dfrac{\partial w}{\partial s}\bigg|_{(s,t)=(1,0)}=(-1)(5)+(2)(-8)=-21$

Similarly, the partial derivative with respect to $t$ would be found via

$\dfrac{\partial w}{\partial t}\bigg|_{(s,t)=(1,0)}=\dfrac{\partial f}{\partial 
u}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial u}{\partial t}\bigg|_{(s,t)=(1,0)}+\dfrac{\partial f}{\partial 
v}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial v}{\partial t}\bigg|_{(s,t)=(1,0)}$
$\dfrac{\partial w}{\partial t}\bigg|_{(s,t)=(1,0)}=(-1)(7)+(2)(6)=5$

6 0

3 years ago

Lynn takes out a loan for $7540 that charges an annual simple interest rate of 6.5%. She does not make any payments for 2 1/2 ye

sp2606 [1]

Answer:

8765.25

Step-by-step explanation:

p=$7540

r=6.5%

t=2.5

simple interest formula= (p*r*t)/100

(7540*6.5*2.5)/100=1225.25

total amount= p+S.I

=7540+1225.25

=8765.25

thankyou^^

7 0

3 years ago

Help ASAP! A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded

Roman55 [17]

Answer: is a=p(1add7)by

A=8pnt,

Step-by-step explanation:

3 0

2 years ago

A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represe

Dimas [21]

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

6 0

3 years ago

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ElenaW [278]

Answer:

the second answer

y=1/2x+3/4

5 0

2 years ago