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storchak [24]
3 years ago
15

PLEASE HELP ME!!!! Given: regular square pyramid Find Py

Mathematics
2 answers:
77julia77 [94]3 years ago
7 0

Answer:

3√3

Step-by-step explanation:

Taking just the face that includes both P and y, we have a triangle with a base of 6 and a slant of 6.  Py is the perpendicular bisector of this base; this gives us a smaller right triangle with a leg of 6/2 = 3 and a hypotenuse of 6.  Using the Pythagorean theorm,

3²+b²=6²

9+b² = 36

Subtract 9 from each side:

9+b²-9 = 36-9

b² = 27

Take the square root of each side:

√(b²) = √27

b = √(3*3*3) = √(3²*3) = 3√3

adell [148]3 years ago
5 0
Check the picture below.

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Jose stores his baseball cards in a box like the one shown
TEA [102]
The formula for volume (V) is <em>l * w * h</em>, where <em>l</em> is length, <em>w</em> is width, and <em>h</em> is height. So in a sense, we have already solved the first part of this problem!

V = 10 * 8 * 3

Now, all we have to do is complete this equation to find the volume.

10 * 8 = 80

80 * 3 = 240

The volume of Jose's box for baseball cards is 240 cubic inches.
Hope that helped! =)
7 0
4 years ago
Read 2 more answers
a wooden box has external dimensions 40 cm by 34 cm by 30 cm. if the wood is 1 cm thick how many cm3 of wood is used in it ?​
Westkost [7]

Answer:

6752 cm³ of wood

Step-by-step explanation:

V = 40cm×34cm×30cm = 40800 cm³

v = 38cm×32cm×28cm = 34048 cm³

V - v = 40800cm³ - 34048cm³ = 6752 cm³ of wood

7 0
3 years ago
Read 2 more answers
1+4=5 2+5=12 3+6=21 8+11=?
lawyer [7]
If you would like to solve this expression, you can calculate this using the following steps:

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
4 + 7 = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 96

The correct result would be 8 + 11 = 96.
6 0
3 years ago
A population data set produced the following information. N=460, ∑x=3920, ∑y=2650, ∑xy=26,570, ∑x2=48,530 Find the population re
NikAS [45]
Regression line is given in the form of: y = a + bx
Where b is the gradient

Working out 'b'

b = \frac{S_{xy}}{S_{xx}}
S_{xy} =Σxy - [ΣxΣy]/N
S_{xx}= Σx² - [Σx]²/N

S_{xy} = 26570 - \frac{(3920)(2650)}{460}= \frac{91710}{23} =3987.39
S_{xx}=48530- \frac{(3920)^2}{460}=15124.78
b= \frac{3987.39}{15124.78}=0.264

Working out 'a'

a = [∑y/N] - b[∑x/N]
a = [2650/460] - 0.264[3920/460]
a = 5.86 - 2.25
a = 3.61

Regression line equation is 
y = 3.61 + 0.264x
5 0
3 years ago
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Tems11 [23]

Answer:

-3

Step-by-step explanation:

since the lines are parallel, they have the same slope because they never intersect

4 0
3 years ago
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