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Anon25 [30]
2 years ago
8

What is the total surface area of this prism?

Mathematics
1 answer:
Basile [38]2 years ago
7 0

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

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If you place a 39-foot ladder against the top of a 23-foot building, how many feet will
Alborosie

Answer:

31.5 ft

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 23² = 39²

Subtract 23² from both sides

a² = 39² - 23²

a² = 1521 - 529

a² = 992

Take the square root of both sides

a = 31.496031496

Rounded

a = 31.5 ft

4 0
3 years ago
Read 2 more answers
Solving system of equations with substitution.
JulijaS [17]

Answer:

Hope it helps!

Step-by-step explanation:

Sub y=5x into y=2x+3

so

5x=2x+3

3x=3

x=1

plug x=1 into y=5x

y=5

Checking work

Plug (1,5) into y=2x+3

5=2(1)+3

5=5

Plug (1,5) into y=5x

5=5(1)

5=5

6 0
3 years ago
Which is greater -9 or -4 explain
Alexxandr [17]

Answer:

-4

Step-by-step explanation:

-4 is closer to the 0

mark me branliest please i really need it :)

3 0
2 years ago
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What is the area of this circle? (Express your answer using π.)<br> (Note: The diameter is 6 m.)
Irina-Kira [14]


TT = 3.14


The answer is 37.68 if TT is 3.14

8 0
2 years ago
Read 2 more answers
An instructor who taught two sections of Math 161A, the first with 20 students and the second with 30 students, gave a midterm e
uranmaximum [27]

Answer:

<em>The answers are for option (a) 0.2070  (b)0.3798  (c) 0.3938 </em>

Step-by-step explanation:

<em>Given:</em>

<em>Here Section 1 students = 20 </em>

<em> Section 2 students = 30 </em>

<em> Here there are 15 graded exam papers. </em>

<em> (a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070 </em>

<em> (b) Here if x is the number of students copies of section 2 out of 15 exam papers. </em>

<em>  here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15 </em>

<em>Then, </em>

<em> Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798 </em>

<em> (c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1) </em>

<em> so, </em>

<em> Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938 </em>

<em> Note : Here the given distribution is Hyper-geometric distribution </em>

<em> where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>

7 0
3 years ago
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