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Zanzabum
4 years ago
14

FInd the surface area of the triangular prism

Mathematics
2 answers:
Marta_Voda [28]4 years ago
3 0

Answer:

273.7

Step-by-step explanation:

first fine the sides that isn't the base.

triangle area formula: (b*h)/2

(14*9)/2 = 63

since there are 3 sides you multiply this by three.

63*3=189

then find the base.

same formula since its a triangle.

(12.1*14)/2 = 84.7

now add them both up:

84.7+189 = 273.7

hope this helps!

Fofino [41]4 years ago
3 0

Answer:

273.7 mm²

Step-by-step explanation:

Area of base:

  • 1/2*14*12.1= 84.7 mm²

3 faces are same:

  • 3*1/2*14*9= 189²

Total:

  • 84.7+189= 273.7 mm²
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Find the inverse of the following function. f(x) =^3squareroot x + 12<br><br> I NEED AN ANSWER NOWW
makkiz [27]

Answer:

(x - 12)²/9

Step-by-step explanation:

y = 3sqr(x) + 12

Make x the subject:

y - 12 = 3sqrt(x)

(y - 12)/3 = sqrt(x)

Square both sides

(y - 12)²/9 = x

Interswitch variables

inverse function is:

(x - 12)²/9

If f(x) = (x + 12)^⅓

Then,

y = (x + 12)⅓

y³ = x + 12

y³ - 12 = x

f inverse:

x³ - 12

3 0
3 years ago
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What is the completely factored form of x4 8x2 – 9?
Alinara [238K]

For this case we have the following polynomial:

x ^ 4 + 8x ^ 2 - 9

We make the following change of variables:

u = x ^ 2

Rewriting we have

u ^ 2 + 8u - 9

Factoring the second order polynomial we have:

(u + 9) (u-1)

Then, returning the change we have:

(x ^ 2 + 9) (x ^ 2-1)

Finally, we factor the expression in the parentheses of the second term:

(x ^ 2 + 9) (x + 1) (x-1)

Answer:

the completely factored form is:

(x ^ 2 + 9) (x + 1) (x-1)

7 0
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Working as a waiter, Michael earns $7.50 per hour plus tips Last night he received $43.50 in tips and earned a total of $88.50.
vredina [299]

Answer: 6 hours

Step-by-step explanation:

$7.50per hour

$43.50 in tips

$88.50 total

88.50-43.50=45

45 divided by 7.50 equals 6

So your answer is 6 hours

Hope this helped:))

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3 years ago
Whats the y-intercept
svet-max [94.6K]

Answer:

2

Step-by-step explanation:

the y-intercept is where the line meets the y-axis

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Using the provided measures determine the measure of angle K.
forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

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sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

5 0
2 years ago
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