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svlad2 [7]
3 years ago
10

- A contractor plans to build a rectangular office complex. The floor area on the first floor of the

Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

Width = 30

Step-by-step explanation:

Area = 18x * 10y = 180xy

Length = 6xy

Width = ?

Since the shape of the office complex is a rectangle,

Area of a rectangle = length × width

180xy = 6xy × width

Width = 180xy / 6xy

Width = 30

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How can you find the surface area of a composite solid made up of prisms ? (Help)
sammy [17]
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:



Surface area = 6 × a2




Right circular cylinder:



Surface area = 2 × pi × r2   +  2 × pi × r × h

pi = 3.14
h is the height
r is the radius


Rectangular prism:



Surface area = 2 × l × w  +  2 × l × h  +  2 × w × h 




l is the length
w is the width
h is the height


Sphere:



Surface area = 4 × pi × r2 

pi = 3.14
r is the radius


Right circular cone:



Surface area = pi × r2  +  pi × r ×( √(h2 + r2)) 

pi = 3.14
r is the radius
h is the height
l is the slant height 


Right square pyramid:



Surface area = s2 + 2 × s × l

s is the length of the base
h is the height
l is the slant height 
8 0
3 years ago
What are the numbers called in a multiplication
mart [117]
The numbers that are called in multiplication are called factors. Multiplying factors together will create a product.
3 0
3 years ago
Read 2 more answers
Translate each algebraic expression to a verbal phrase
GaryK [48]

Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

3 0
2 years ago
1. What is the place value of the 1 in 1,234,567,890? ​
FrozenT [24]

Answer:

The place value of 1 in 1,234,567,890 is <u>1</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>.</u>

4 0
2 years ago
Read 2 more answers
Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

  • Angles around a point sum to 360°
  • 1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

  • r = length of minute hand = 14 ft
  • \theta = 150°

\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

4 0
2 years ago
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