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dem82 [27]
4 years ago
5

16 POINTS!! The solid in the diagram has a surface area of 18 units2. If a cube is added on the green face, what will the new su

rface area be? A) 20 units2 B) 21 units2 C) 22 units2 D) 23 units2

Mathematics
1 answer:
Anit [1.1K]4 years ago
8 0
The complete question in the attached figure

Let 
x------> length side of a cube

we have that
[surface area original]=18 units²

surface area original=x²*[number of faces]
number of faces=2*[4+4+1]-----> 18 faces

surface area original=x²*[18]
18=18*x²-------> x²=18/18---------> x=1 unit

<span>If a cube is added on the green face,the new surface area will be
</span>18+4*[area of one faces]-----> 18+4*1²----> 22 units²

the answer is
22 units²

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kompoz [17]

Answer:

fjvg8rg95ig9tjbopetjihefgiuo ugn idgjbiohionuion ijj ngibj irogjk0 krlkntirion pohtk ioh ht nh h h  h h h

Step-by-step explanation:

6 0
3 years ago
Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.
boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0
3 years ago
In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms.
topjm [15]

Answer:

24

Step-by-step explanation:

75% of x = 18

75/100 * x = 18 (x =  total number of students)

solving

x = 24

total number of students = 24

Checking:

75/100 * 24 = 18

5 0
3 years ago
Prove that can you please prove and explain it plz ​
Alexandra [31]

Answer:

Step-by-step explanation:

LHS = Sin² ∅ + Sin² ∅*tan² ∅

        = Sin² ∅ [1 + tan² ∅ ]                 {Sec² ∅ - tan² ∅  = 1}

         = Sin² ∅ *Sec² ∅

         = Sin² ∅ * \frac{1}{Cos^{2} }

         = Sin² ∅ /Cos² ∅

        =  tan² ∅  = RHS

8 0
3 years ago
Read 2 more answers
The Rachel’s daily expenses for 10 days are in the table.
Annette [7]
The correct answer is $44.20. 
If we add up all the tips, the total is $442. If we divide this by the number of days (10), then we find the mean.
442 / 10 = 44.2
4 0
4 years ago
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