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alexdok [17]
2 years ago
12

HELP ME PLESA IM DESPO PAKJDCD PLS HELP

Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = 2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = 3( Length * Width) = 3(8 * 5) = 120 cm^2

Hence the total surface area of the prism is = 120 + 24 =144 cm²

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2. Hudson and 7 of his friends found a bag of pennies. There were 320
FinnZ [79.3K]

Answer:

each person gets 40 pennies.

Step-by-step explanation:

Hudson AND 7 = 8

320 ÷ 8 = 40

Each person gets 40 pennies.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

5 0
2 years ago
Read 2 more answers
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Glurpina is a polymorph alien and can grow extra limbs. Right now, she has 3 hands and can shake everyone hand at the alien conf
Wewaii [24]

She can shake everyone's hand by 9/10 hands in 3 minutes.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Glurpina is a polymorph alien and can grow extra limbs.

She has 3 hands and can shake everyone's hand at the alien conference in 10 minutes.

She can shake everyone's hand by 3 hands in 10 minutes.

She can shake everyone's hand by 1 hands in 10 / 3 minutes.

She can shake everyone's hand by how many extra hands in 3 minutes.

= 3/ 10 x 3

= 9/10

Thus, She can shake everyone's hand by 9/10 hands in 3 minutes.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

5 0
2 years ago
Correct answer gets brainliest!<br>find two expressions whose difference is 3x + 4​
il63 [147K]

Answer:

(7x+4) and (4x)

Step-by-step explanation:

The two expressions are (7x+4) and (4x)

8 0
3 years ago
How do I verify #15 using fundamental trig identities?
expeople1 [14]

We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

\frac{sin \theta + tan \theta}{1+cos \theta}

Using Quotient identity for tangent function, we will get

\frac{sin \theta+ \frac{sin \theta}{cos \theta}}{1+cos \theta}

\frac{sin \theta cos \theta + sin \theta}{cos \theta(1+cos \theta)}

Taking out sine function from the numerator

=\frac{sin \theta(1+cos \theta)}{cos \theta(1+cos \theta)}

Cancelling the common term of numerator and denominator

=\frac{sin \theta}{cos \theta} = tan \theta

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3 years ago
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