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2 years ago

20 POINTSplease help and have a good weekend

Mathematics

1 answer:

Over [174]2 years ago

4 0

A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm

The Surface area of the prism = 120 cm².

<h3>How to Find the Surface Area of Triangular Prism?</h3>

Surface area = Area of A + B + C + D

The side lengths are:

A = 6 cm

B = 3 cm

C = 8 cm

D = 10 cm

Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm

Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²

Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²

Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²

Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².

Learn more about Surface Area of Triangular Prism on:

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Answer: 1/5 x = 10 * 1/5. 1/5x = 2. x = 2*5 = 10

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The sequence a1, a2, a3, . . . , an of n integers is such that ak = k if k is odd and ak = –ak – 1 if k is even. Is the sum of t

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Step-by-step explanation:

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3 years ago

Line BC has an equation of a line Y equals 2X +3 and F has an equation of a line Y equals -1/2 x+4 these two equations represent

Masja [62]

Answer:

Lines BC and F represent perpendicular lines

Step-by-step explanation:

we have

Line BC

$y=2x+3$

the slope of the line BC is $m=2$

Line F

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the slope of the line F is $m=-1/2$

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

$m1*m2=-1$

we have

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$m2=-1/2$ -----> slope line F

Find the product of their slopes

$(2)(-1/2)=-1$

therefore

Lines BC and F represent perpendicular lines

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3 years ago

Out of 18 people surveyed at the mall, 4 have a motorcycle. Based on these results of the 270 people at the mall, how many have

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Answer: 60

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3 years ago

Solve for x: √(32^0 + 2/3)=(0.6)^2-3x

malfutka [58]

Step-by-step explanation:

Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

Asked: Find the value of x = ?

Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

⇛√{1 + (2/3)} = (0.6)²⁻³ˣ

⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ

⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ

⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ

⇛√(5/3) = (0.6)²⁻³ˣ

Squaring on both sides then

⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²

⇛√(5²/3²) = {0.6}(²⁻³ˣ)²

⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²

⇛5/3 = {0.6}(²⁻³ˣ)²

[ $\mathsf{\because}$ (aᵐ)ⁿ = aᵐⁿ]

⇛5/3 = (0.6)²*²⁻³ˣ*²

⇛5/3 = (0.6)⁴⁻⁶ˣ

⇛5/3 = (6/10)⁴⁻⁶ˣ

⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ

⇛5/3 = (3/5)⁴⁻⁶ˣ

⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ

[ $\mathsf{\because}$ a⁻ⁿ = 1/aⁿ]

Base are the same, so the exponents must be equal.

$\mathsf{\therefore}$ -1 = 4 - 6x

Shift the number 4 from RHS to LHS, changing it's sign.

⇛-1 - 4 = -6x

⇛-5 = -6x

⇛x = {(-5)/(-6)}

$\mathsf{\therefore}$ x = 5/6

Answer: Hence, the value of x for the given problem is 5/6.

also read similar questions: (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? brainly.com/question/25746379?referrer

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