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Alinara [238K]
3 years ago
9

One piece of wood has a rectangular bottom that is 30 cm long and 56 mm wide. The block is said to weigh 80 N. Calculate the pre

ssure that the block exerts on the surface
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

4762 N/m^2

Step-by-step explanation:

Find area.

30x5.6=168

Convert to m^2

168cm^2=0.0168m^2

Use pressure formula to get answer

P=F/A

P=80/0.0168

P=4762 N/m^2

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There are 30 coins all dimes and quarters on the table worth
nignag [31]

Answer:

We can set up a system of equations.

x + y = 111

0.25x + 0.10y = 18.30

x + y = 111

Subtract 'y' to both sides:

x = -y + 111

Plug in '-y + 111' for 'x' in the 2nd equation:

0.25(-y + 111) + 0.10y = 18.30

Distribute 0.25 into the parenthesis:

-0.25y + 27.75 + 0.10y = 18.30

Combine like terms:

-0.15y + 27.75 = 18.30

Subtract 27.75 to both sides:

-0.15y = -9.45

Divide -0.15 to both sides:

y = 63

Plug this back into any of the two equations to find the 'x' value.

x + y = 111

x + 63 = 111

Subtract 63 to both sides:

x = 48

So there are 48 quarters and 63 dimes.

Step-by-step explanation:

Hope This Helps!

3 0
3 years ago
A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land
netineya [11]

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

A=(17.5yd)(37.5yd)=656.25yd^2

Hence, the area of the lot of land is 656.25 sq yd

5 0
1 year ago
What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters
devlian [24]

Answer:

The volume of a cylinder is 1782\ cm^3.

Step-by-step explanation:

We have,

Height of cylinder, h = 7 cm

Diameter of cylinder, d = 18 cm

Radius, r = 9 cm

It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

V=\pi r^2h\\\\V=\dfrac{22}{7}\times (9)^2\times 7\\\\V=1782\ cm^3

So, the volume of a cylinder is 1782\ cm^3.

3 0
4 years ago
What is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117
Sergio [31]

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

3 0
3 years ago
What is the volume of a square pyramid that is 8 feet tall with base edges of 3 feet ?
Rina8888 [55]
The answer is a) 24 cubic feet
6 0
3 years ago
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