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Artyom0805 [142]
2 years ago
9

What is the volume of a solid that 2m, 2m, 9m, 9m, 6m?

Mathematics
1 answer:
seraphim [82]2 years ago
8 0
The answer to your question is 1944 because all you do is multiply
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Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and
shusha [124]
Forces in direction x:
 
fx1 = 100 * cos (50) = 64.28
 fx2 = 50 * cos (160) = - 46.99
 The resultant is:
 fx = fx1 + fx2 = 17.29

 Forces in direction y:
 
fy1 = 100 * sine (50) = 76.60
 fy2 = 50 * sine (160) = 17.10
 The resultant is:
 fy = fy1 + fy2 = 93.70
 The magnitude of the resulting force is:
 
f = root (fx ^ 2 + fy ^ 2)
 f = root ((17.29) ^ 2 + (93.70) ^ 2)
 f = 95.28
 The angle is:
 
theta = atan (fy / fx)
 theta = atan (93.70 / 17.29)
 theta = 79.55 degrees
 Answer:
 
The direction and magnitude of the resultant force are:
 
f = 95.28 pounds at theta = 79.55 degrees
6 0
3 years ago
If you bike for 60 kilometers at 30 kilometers per hour and return at 20 kilometers per hour, what is the average speed for the
matrenka [14]
V1=30km/hr
v2=20km/hr
v=2v1v2/(v1+v2)
   =2*30*20/(30+20)
   =24km/hr
8 0
3 years ago
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
2 years ago
One eighth of a number is ten less than one third of the number. Find the number.
GarryVolchara [31]
X/8 - 10 = x/3

bring the values with the variable on one side

x/3 - x/8 = 10

find a common denominator and subtract these fractions

8x/24 - 3x/24 = -10

now subtract fractions

8x - 3x = 5x

5x/24 = -10

multiply both sides by 24

5x = -240

divide both sides by 5

x = -48

the number is -48
7 0
2 years ago
Read 2 more answers
What is the height of an equilateral triangle with side lengths of 15? round to tenths?
Vinil7 [7]
If this is an equilateral triangle, we need half of it to find the height which is a leg of a right triangle with a hypotenuse of 15.  That means that the base of this half triangle is 7.5.  Use Pythagorean's Theorem to fine the height.  x^{2} =(15) ^{2} -(7.5) ^{2}.  x = 12.99 or 13
8 0
3 years ago
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