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Novosadov [1.4K]
3 years ago
8

What is the volume of the triangular prism? please help quick

Mathematics
2 answers:
kifflom [539]3 years ago
6 0
Answer - 960 cm^3 / B
The volume of a triangular prism is through this formula -
V = 1/2 a•c•h

So it would be -
V = 1/2 (12•16•10)
This when you put in a calculator, you get 960.
Which is B.
(You can just put 0.5 in the calculator if you can’t put fractions)
topjm [15]3 years ago
4 0

Answer:

The answer is D

Step-by-step explanation:

16*12*0.5 is the area of the triangle. multiply that by the length of the prism to find the volume.

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How do you evaluate log2 1/64
OverLord2011 [107]
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5 0
4 years ago
Evaluate the surface integral. s x ds, s is the part of the plane 6x + 3y + z = 6 that lies in the first octant.
Musya8 [376]
The plane has intercepts at (1, 0, 0), (0, 2, 0), and (0, 0, 6), so we can parameterize the surface \mathcal S by

\mathbf r(u,v)=((1,0,0)(1-u)+(0,2,0)u)(1-v)+(0,0,6)v
\mathbf r(u,v)=((1-u)(1-v),2u(1-v),6v)

where 0\le u\le1 and 0\le v\le1. Now

\|\mathbf r_u\times\mathbf r_v\|=2\sqrt{46}(1-v)

so the surface integral reduces to

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{46}\int_{v=0}^{v=1}\int_{u=0}^{u=1}(1-u)(1-v)^2\,\mathrm du\,\mathrm dv=\frac{\sqrt{46}}3
4 0
4 years ago
I really need help please!! <br><br> Please show work!! Will mark brainliest!!
Setler [38]

Answer:

A) Lifetime: 200+15x

Health Bridge: 50+30x

B.1) Yes, they are both the same price after 10 Months at an amount of $350

B.2) Lifetime gym would be cheaper by $30

C) Health Bridge Gym because it is $60 less

D) Lifetime Gym

Step-by-step explanation:

A) 200=Initial Fee___15=Monthly Cost___x=Months

50=Initial Fee___30=Monthly Cost___x=Months

--------------------------------------------------------------------------------------------------------------

B.1) 200+15(10)=350

50+30(10)=350

--------------------------------------------------------------------------------------------------------------

B.2) 200+15(12)=$380

50+30(12)=$410

--------------------------------------------------------------------------------------------------------------

C) 200+15(6)=290

50+30(6)=230

--------------------------------------------------------------------------------------------------------------

Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.

D)200+15(20)=$500

50+30(15)=$500

--------------------------------------------------------------------------------------------------------------

I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.

5 0
3 years ago
if you share the costs of a meal on the ratio of 2:3 and one person pays £52.20 how much was the whole meal?
Tju [1.3M]
<em>The ratio of shared costs of mean=2:3.
One person paid the cost </em>
£<em>52.20, so let the other person paid the cost be X.
</em>
<em>(2/3)=(52.20/X)
</em><em>X=(52.20</em>×3)/2
X=26.10×3
X=78.30
So the gross cost paid by both the person = £(78.30+52.20)
⇒£130.60
4 0
3 years ago
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