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KonstantinChe [14]

3 years ago

14

100 points. Find the surface area of the triangular prism. The unit is cm^2

2 answers:

nexus9112 [7]3 years ago

8 0

Answer:

1380

Step-by-step explanation:

nikklg [1K]3 years ago

6 0

First we find the area of the two triangles on each side (keep in mind that they are equal/congruent to each other):

(24*10)/2 = 120 cm^2

Then you find the areas of the three rectangles that are left:

24*19 = 456 cm^2
26*19 = 494 cm^2
10*19 = 190 cm^2

Finally, to find the surface area of the prism:

120+120+456+494+190 = 1,380 cm^2

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1.The sum of three numbers is twenty. The second number is four times the first and the sum of the first and third is eight. Wha

lesya692 [45]

Answer:

Step-by-step explanation:

4x=12

x=12/4

x=3 answer

y=4*3=12 answer.

z=8-3=5 answer.

proof

3+12+5=20

20=20

5 0

3 years ago

Read 2 more answers

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 500(1.075)120x = 100.000

Volgvan

Answer:

The solution is:

$x = 0.61$

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

$500(1.075)^{120x} = 100000$

$(1.075)^{120x} = \frac{100000}{500}$

$(1.075)^{120x} = 200$

To find x, we have to apply log to both sides of the equality.

We also have that:

$\log{a^{x}} = x\log{a}$

So

$\log{(1.075)^{120x}} = \log{200}$

$120x\log{1.075} = 2.30$

$120x*0.03 = 2.30$

$3.77x = 2.30$

$x = \frac{2.30}{3.77}$

$x = 0.61$

4 0

3 years ago

Integrate <img src="https://tex.z-dn.net/?f=e%5E%7B4x%7D%5Csqrt%7B1%2Be%5E%7B2x%7D%20%7D%20dx" id="TexFormula1" title="e^{4x}\sq

AnnyKZ [126]

Answer:

$(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the function

f(x) = $e^{4x} \sqrt{1+e^{2x} }$

Now integrating on both sides, we get

$\int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx$

= $\int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx$

<u><em>Step(ii):-</em></u>

Let $1 + e^{2x} = t$

$e^{2x} = t -1$

$2e^{2x}dx = d t$

$e^{2x}dx = \frac{1}{2} d t$

= $\int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx$

= $\int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }$

= $\frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }$

= $\frac{1}{2} \int\limits {(t^{\frac{1}{2} } t^{1} +t^{\frac{1}{2} } ) } \, dx$

$= \frac{1}{2} \int\limits {(t^{\frac{3}{2} } +t^{\frac{1}{2} } ) } \, dx$

= $\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C$

= $\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C$

= $\frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C$

= $(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

<u><em>Final answer:-</em></u>

= $(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

3 0

3 years ago

Your team lost by 13 points. The opposing team scores 72 points. What was your final score?

DanielleElmas [232]

The final score is 59

4 0

3 years ago

An executive in an engineering firm earns a monthly salary plus bonus of 5700 dollars. If she earns a total of 91400 dollars per

Ray Of Light [21]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

$12S + 5700 = 91400$

where $S$ is the monthly salary. Solving for $S$ will give us the answer:

$12S = 85700$

$S = 7141.67$

6 0

3 years ago