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Katarina [22]
3 years ago
13

A sculpture is created with colored blocks each with a volume of 1 cubic foot. What is its volume if the sculpture is 12 feet lo

ng, 5 feet wide and 8 feet high?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

480 ft^3

Step-by-step explanation:

We can calculate the volume of the sculpture with the data they give us in the statement.

The volume would be the multiplication between the length, width and height, that is:

v = l * w * h

we know that l = 12 ft; w = 5 ft; h = 8 f, replacing:

v = 12 * 5 * 8

v = 480

in other words, the volume of the sculpture is 480 cubic feet, therefore 480 color blocks are needed because its volume is 1 cubic foot.

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m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?
Neko [114]

We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.

∠WYX and ∠WYZ are complementary.

We know, sum of complementary angles is = 90°.

So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.

m∠WYX + m∠WYZ = 90°.

Plugging values of ∠WYX and ∠WYZ in the above equation, we get

(2x−1)° + (4x+1)° = 90°.

Removing parentheses from both sides,

2x-1 + 4x+1 =90.

Combining like terms,

2x+4x= 6x and -1+1 =0

6x +0 =90.

6x=90.

Dividing both sides by 6.

6x/6 =90/6

x= 15.

Plugging value of x=15.

m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29

m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.

Therefore, ∠WYX=29° and ∠WYZ=61°.



5 0
4 years ago
MULTIPLE CHOICE<br> What is LM?<br> 3x + 5<br> 4x + 7<br> LN = 33 cm
FromTheMoon [43]

Answer:

C. 14

Step-by-step explanation:

Add LM and MN

(3x + 5) + (4x + 7)

(4x + 3x) + (5 + 7)

7x + 12

As we know the total is 33

So,

7x + 12 = 33

Subtract 12 from 33, which gives me 21

Now,

7x = 21

To make x alone, divide both sides by 7, and then we will get x = 3

If x = 3

LM = 3x + 5

= (3*3) + 5

= 9 + 5

= 14

7 0
4 years ago
A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of five digit
ankoles [38]

Answer:

45,000 codes

Step-by-step explanation:

We can define that "digits" are defined to symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are a total of ten digits.

The problem indicates that the first digit cannot be zero, this means that there are 9 options in the first digit of the code.

For the second, third and fourth digits of the code there is no restriction, so there are 10 options for each.

For the fifth digit of the code, we can choose any even digit, so we have 5 options.

This means that there is a total of

9 * 10 * 10 * 10 * 5 = 45,000

3 0
4 years ago
Budgeting for home maintenance early can save money in the long run. Why save early compared to later, even if the home is new?
Aleksandr-060686 [28]
The answer is
<span>a.<span>Home maintenance is unpredictable, but it is important to do it promptly, or it will result in home damage that requires repair. </span></span>
5 0
4 years ago
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Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15<br> pounds cost? *
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Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

7 0
3 years ago
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