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spin [16.1K]
3 years ago
7

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0
The surface area is 870 cm².

Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:

60/4 = 15

To find the area, we square the side length:
15² = 225

There are two bases, so the area of these is 2(225) = 450

There are 4 lateral faces, so the lateral area is 4(105) = 420

Together, this gives us a total surface area of 870.
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I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

6 0
1 year ago
A model giraffe has a scale of 1 in : 3 ft. If the model giraffe is 4 in tall, then how tall is the real giraffe
VladimirAG [237]
The answer is 12ft. Because if 1in is 3ft then 4in will be 4 multiplied by 3
4 0
3 years ago
Read 2 more answers
(1.8x10^5)divided by(3x10^6) in standard form?
Softa [21]

Answer:

0.06

Step-by-step explanation:

Given data:

1.8(10^{5}) divided by 3×10^{6}

Now,

\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06

Answer will be 0.06

5 0
2 years ago
Jake bakes and sell apple pies. he sells each pie for $5.75. the materials to make the pies cost $40. the boxes jake puts the pi
dezoksy [38]

Answer:

18\ pies

Step-by-step explanation:

Let

x-------> the number of pies

we know that

5.75x-40-12.50=50 -----> linear equation that represent the situation

solve for x

5.75x-52.50=50

5.75x=50+52.50

5.75x=102.50

x=102.50/5.75=17.8

Round to the nearest whole number

17.8=18\ pies

8 0
3 years ago
Read 2 more answers
All four of the box plots lie on the same scale and contain the same number of data points. Identify the box plot that best repr
zvonat [6]

Answer:

It's the boxplot with these (**) Not symetric and the middle of the box isnt

alined, hope this helps

5 0
3 years ago
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