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Mars2501 [29]
4 years ago
7

A square pyramid is shown below:

Mathematics
1 answer:
Sholpan [36]4 years ago
7 0
The correct answer is A or 8.01 square feet
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I only need number 10 plz help!!!!!!!
irga5000 [103]

9514 1404 393

Answer:

  • DE ≈ 9.49, EF ≈ 8.06, FD ≈ 14.87
  • obtuse scalene triangle

Step-by-step explanation:

For finding side lengths, it is convenient to work with the differences of the coordinates.

  DE = E(-1, -3) -D(8, -6) = (-9, 3)

  EF = F(-2, 5) -E(-1, -3) = (-1, 8)

  FD = D(8, -6) -F(-2, 5) = (10, -11)

Then the lengths are ...

  DE = √((-9)² +3²) = √90 = 3√10 ≈ 9.49

  EF = √((-1)² +8²) = √65 ≈ 8.06

  FD = √(10² +(-11)²) = √221 ≈ 14.87

The lengths are all different and the largest angle is obviously more than 90°, so the triangle is an obtuse scalene triangle.

4 0
3 years ago
Find how many solutions there are to the given equation that satisfy the given condition. X1 + x2 + x3 = 22, each x; is a positi
DiKsa [7]

Answer:

Step-by-step explanation:

Given that there are three variables satisfying the equation

X1 + x2 + x3 = 22

Here each x is given to be a positive integer

i.e. solution set for each of the variable can be any integer from 1 to 20 at most.(because if two other integers are 1 each third has to be 20)

Hence solution set can be of the form

(x1,x2,x3) =(1,1,22) (1,2,21) (1,3,20).....

=(2,1,19) (2,2,18),...\\=(3,1,18) (3,2,17),....\\...\\...\\=(20,1,1)

If x1 =1, there are 20 solution sets

If x1 =2,there are 19

...

If x1 =20 there is 1 set

Hence total solutions can be= 20+19+...+1\\=\frac{20(21)}{2} =210

6 0
3 years ago
Read 2 more answers
2.. Kerri took 2 and 1/2 hours to read a 460 page book. At this rate, how long will it take her to read a 1250 page book? ​
kirill115 [55]

Answer:

Step-by-step explanation:

reading_rate:  2.5R = 1250

R = 1250/2.5 = 500 pages/hr or ( 1 hr)/(500 pages)

Solve for hr?

=( 1 hr)/(500 pages)   * 1250 pages    

now, cancel out pages and we are left with hours

= 1250/500 hours

=  2.5 hours

4 0
3 years ago
11. Mark bought a pop for $1.75 and a candy bar for $1.15. He paid with a $5 bill. How much change did he get? Show all of your
nataly862011 [7]
So, first add 1.75 and 1.15 together. the answer? 2.9, add a zero, 2.90. then subtract 2.90 off of 5, the answer is 2.1.
6 0
3 years ago
4. Find the missing values of the Special Right Triangles. Simplify answers. **no decimals **
patriot [66]

Answer:

1)m=9ft and n=10ft

2) p=10cm and r=18cm

3) s=4mi and t=8mi

Step-by-step explanation:

1)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides m and n

m/sinD = 5/sinF

m= sin60(5/sin30)

  = 8.66

   = 9

n/sinE= 5/sin30

n= sin90(5/sin30)

  = 10

hence m=9ft and n=10ft

2)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides p and r

p/sinF = 21/sinE

p= sin30(21/sin90)

  = 10.5

   = 10

r/sinD= 21/sin90

r= sin60(21/sin90)

  = 18.18

  =18

hence p=10cm and r=18cm

3)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides s and t

s/sinF = 3√6/sinD

s= sin30(3√6/sin60)

  = 4.24

   = 4

t/sinE= 3√6/sinD

t= sin90(3√6/sin60)

  = 8.48

  = 8

hence s=4mi and t=8mi !

4 0
3 years ago
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