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Zarrin [17]
2 years ago
9

Jan 18 Spiral Review Find the surface area of the following complex shapes.

Mathematics
1 answer:
zepelin [54]2 years ago
4 0

Answer:

320 in.²

Step-by-step explanation:

Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.

The total area of the rectangle is 16 × 24, which is 384.

Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.

384 - 64 = 320

The total surface area of the following complex shape is 320 in.²

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How do I solve tan(62) = 12/x?
notsponge [240]

Answer:

x = 6/31 = 0.194

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (62)-(12/x)=0

Step by step solution :

Step  1  :

           12

Simplify   ——

           x

Equation at the end of step  1  :

       12

 62 -  ——  = 0

       x

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x  as the denominator :

          62     62 • x

    62 =  ——  =  ——————

          1        x  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

62 • x - (12)     62x - 12

—————————————  =  ————————

      x              x    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  62x - 12  =   2 • (31x - 6)

Equation at the end of step  3  :

 2 • (31x - 6)

 —————————————  = 0

       x      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2•(31x-6)

 ————————— • x = 0 • x

     x    

Now, on the left hand side, the  x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (31x-6)  = 0

Equations which are never true :

4.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    31x-6 = 0

Add  6  to both sides of the equation :

                     31x = 6

Divide both sides of the equation by 31:

                    x = 6/31 = 0.194

Answer :

                  x = 6/31 = 0.194

Rate?

3 0
2 years ago
Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet wh
babunello [35]

Answer:

The amount of CD's she could buy would be 3.

Step-by-step explanation:

80-20=60

60÷18 = 3 CD's

4 0
3 years ago
Read 2 more answers
A team won 1/4 of its games. If they played 20 games, how many did they win?
svetlana [45]

Answer:

5

Step-by-step explanation:

20 divided by 4 = 5

1 x 5 = 5

8 0
3 years ago
Read 2 more answers
Tommy earned ​$ on Monday and ​$ on Tuesday. How many lucky bamboo plants can he buy with the total money he​ earned? lucky bamb
Montano1993 [528]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete. But let's assume that the amount earned on Monday is $38 while $25 was earned on Tuesday.

The total amount earned for both days will be:

= $38 + $25

= $63

Since lucky bamboo plants are $7 each, we then divide the total amount gotten by $7. This will be:

= $63 / $7

= 9

Therefore, he can buy 9 lucky bamboos

7 0
2 years ago
RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujer
Tanzania [10]

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

7 0
3 years ago
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