All categories

4 years ago

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics

2 answers:

Korvikt [17]4 years ago

4 0

Answer:

The answer is B

Step-by-step explanation:

Stells [14]4 years ago

3 0

Answer:

23.876

Step-by-step explanation:

You might be interested in

How many cubic feet will it take to fill the prism below

Paul [167]

I think the answer is possibly B or D

3 0

3 years ago

Is (4,-5) a possible solution to 5x + 2y = 8?

vitfil [10]

No because x=4 and y=-5 and when you plug it in you get 5(4)+2(-5)=8 20+-10=8 and 10= does not work so it is not a possible solution.

4 0

3 years ago

Read 2 more answers

Factor this expression completely, then place the factors in the proper location on the grid.

andreev551 [17]

Notice that you have a difference of cubes:

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2\right)^3-\left(\dfrac y3\right)^3$

which can be factored using the rule,

$a^3-b^3=(a-b)(a^2+ab+b^2)$

So,

$\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2-\dfrac y3\right)\left(\dfrac{x^2}4+\dfrac{xy}6+\dfrac{y^2}9\right)$

and just to make things look nicer, we can pull out 1/6 from the first factor and 1/36 from the second to get

$\dfrac{x^3}8-\dfrac{y^3}{27}=\dfrac1{216}(3x-2y)(9x^2+6xy+4y^2)$

4 0

4 years ago

Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Luba_88 [7]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

8 0

4 years ago

Please help me with number 3 <br><br> Thanks

blsea [12.9K]

Answer:

x = 2.8

y = 2

Step-by-step explanation:

Reference angle = 45°

Opposite = 2

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 45 = Opp/Hyp

Sin 45 = 2/x

x*Sin 45 = 2

x = 2/Sin 45

x = 2.82842712 ≈ 2.8 (nearest tenth)

✔️To find y, apply the trigonometric function TOA:

Tan 45 = Opp/Adj

Tan 45 = 2/y

y*Tan 45 = 2

y = 2/Tan 45

y = 2

7 0

3 years ago