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2 years ago

Math can you guys help me PLS

Mathematics

1 answer:

MissTica2 years ago

4 0

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

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Answer:

<h2>p(obtaining a red counter) = 0.625</h2>

Step-by-step explanation:

The total number of counters in the bag is 5 + 3 = 8.

and only 5 are red.

Then

the probability of obtaining a red counter is :

$= \frac{5}{8} = 0.625$

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1 year ago

3y''-6y'+6y=e*x sexcx

Simora [160]

From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

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The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

$y_p=u_1y_1+u_2y_2$

where

$u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx$
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and $W(y_1,y_2)$ is the Wronskian of the fundamental solutions. We have

$W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}$

and so

$u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx$
$u_1=\dfrac13\ln|\cos x|$

$u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx$
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Therefore the particular solution is

$y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x$

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$y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x$

7 0

3 years ago

Write an equation for the description a number x increased by 16 is 118.

noname [10]

Answer:

x +16 = 118

Step-by-step explanation:

A number(unknown ) = x

Increased = +

Merge all together you have

$x + 16 = 118$

Tip ; If you solve the equation you will get 102 as an answer. 102 +16 =118 .

SO the equation is correct .☻

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3 years ago

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Answer:

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4 0

3 years ago

the perimeter of football field in a rectangular form of a certain school is 296cm if the breath is2/3 of the length find the le

Pani-rosa [81]

Answer:

L = 29.6 cm

Step-by-step explanation:

Let Length be L and Breadth be B

Condition 1:

$2(Length)+2(Breadth) = Perimeter$

Where Perimeter = 296 cm

=> 2L + 2B = 296

=> 2(L+B) = 296

Dividing both sides by 2

=> L + B = 148 ------------------(1)

Condition 2:

=> B = $\frac{2}{3} L$ -------------------------(2)

Putting Equation 2 in 1

=> L + $\frac{2}{3} L$ = 148

Multiplying both sides by 3

=> 3L + 2L = 148

=> 5L = 148

=> L = 148/5

=> L = 29.6 cm

6 0

3 years ago

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