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WARRIOR [948]
3 years ago
12

What is the area of figure shown below!??

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:26

Step-by-step explanation:

Add them all up

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A rectangular prism has a volume of 162 cubic centimeters. If the length, width, and height are reduced to 1/3 of their original
Colt1911 [192]
The original volume of the given prism is
l*w*h = 162
where l = length, w = width, h = height
Reducing 1/3 of each sides,
(1/3)l*(1/3)w*(1/3)h=(1/27)162
Thus,
The new volume is 162/27 = 6 cubic cm
8 0
3 years ago
Solve the equation negative 3X +9 equals three(2x+3) + 3(x-4) + 1
timofeeve [1]

Answer:

1

Step-by-step explanation:

-3x+9=3(2x+3)+3(x-4)+1

Distributive property in the parenthesis

-3x+9=6x+9+3x-12+1

Combine Like Terms

-3x+9=9x-2

Get the x’s on one side

-3x+9=9x-2

+3.  +2    +3. +2

11=11x

Divide by 11 on both sides

11/11=1

5 0
3 years ago
The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t
Sergeu [11.5K]

Answer: 28 %

Step-by-step explanation:

Let, Initially,

V be the volume of construction work

r be the productivity of labor  

n be the number of days

x be the number workers.

Thus,  V  = r × n × x   ------------(1)      

Now, According to the question,

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%.

Therefore,

Final volume of the work = 160% of V = 1.6 V

Final productivity = 125% of r = 1.25 r

Also, the time is same in both conditions,

Final time taken = n

Let y be the number of people after changes.

Thus, 1.6 V = 1.25 r × n × y -----(2)

Dividing equation (1) by equation (2)

We get, y = 1.60 x/1.25

Thus, the changes in the number of workers

= \frac{(\frac{1.60x}{1.25}-x) }{x}\times 100

= 0.28 × 100

= 28 %


5 0
3 years ago
In August, the digits to the code number are I the prime factors of 150. What is the code number for the office door in August
lbvjy [14]

150 = 2 * 3 * 5 * 5. So the code for the door is 2355 in some order.

4 0
3 years ago
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
Rama09 [41]

Answer:

y= −1/2x+ 1/2

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula

y-y1=m(x-x1) to find the line perpendicular to y=2x−3.

8 0
3 years ago
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