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3 years ago

A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its surface area?

1 answer:

3 0

Area of a rectangular prism=2(long * wide) + 2(long* high)+2(wide* high)
Data:
long=6 in
wide=3 in
high=2 in-

Area of this rectangular prism=2(6 in* 3in)+2(6 in * 2 in)+2(3 in * 2 in)=
=2(18 in²)+2(12 in²)+2(6 in²)=36 in²+24 in²+12 in²=72 in²

answer: the surface area of this rectangular prism is 72 in².

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This is a geometry question, i need something quickly :)

Marysya12 [62]

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

For triangle ABC with sides a,b,c labeled in the usual way,

c2=a2+b2−2abcosC

We can easily solve for angle C .

2abcosC=a2+b2−c2

cosC=a2+b2−c22ab

C=arccosa2+b2−c22ab

That’s the formula for getting the angle of a triangle from its sides.

The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.

−1≤cosC≤1

0∘≤C≤180∘

We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.

The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)

The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool

2sinAsinBcosC=sin2A+sin2B−sin2C

Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.

In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,

4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2

true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.

This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,

(a+b−c)2=4ab(1−c)

Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.

6 0

3 years ago

What is the reciprocal of 7/12

Galina-37 [17]

Answer:

12/7

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

On three rolls of a single die, you will lose $19 if a 3 turns up at least once, and you will win $5 otherwise. What is the

kondaur [170]

Answer:

-16 cents

Step-by-step explanation:

We are given that on three rolls of a single die, you will lose $19 if a 3 turns up at least once, and you will win $5 otherwise.

We are to find the expected value of the game.

P (at least one 5 in three rolls) = 1 - P (no. of 3 in three) = $1-(\frac{3}{6} )^2$ = 0.875

P (other results) = 1 - 0.875 = 0.125

Random game value = -19, +5

Probabilities: 0.875, 0.125

Expected game value (X) = 0.875 × (-19) + 0.125 × (5) = -16 cents

Therefore, every time you play the game, you can expect to lose 16 cents

8 0

3 years ago

Read 2 more answers

A $320 scooter is on sale at 30% off. Find the sale price.

alisha [4.7K]

Answer:

Step-by-step explanation:

320×.30=96

320-96=224

3 0

3 years ago

Read 2 more answers

How do I find the area of the blue shape? Don't worry about the other colored one.

ANEK [815]

Answer:

80 cm²

Step-by-step explanation:

Let's break down the composite shape into two parts. (Image attached)

Let "a" represent the area of the smaller square.
Let "b" represent the area of the bigger square

⇒ The side length of "a" is 4 cm.

⇒ The side length of "b" is 8 cm.

First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (4)² = Area of "a"

⇒ (4)(4) = Area of "a"

⇒ 16 cm² = Area of "a"

Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (8)² = Area of "b"

⇒ (8)(8) = Area of "b"

⇒ 64 cm² = Area of "b"

Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.

⇒ Area of composite shape = Area of "a" + Area of "b"

⇒ Area of composite shape = 16 + 64

⇒ Area of composite shape = 80 cm²

7 0

2 years ago