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Agata [3.3K]
2 years ago
14

Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.

Mathematics
1 answer:
andriy [413]2 years ago
3 0

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

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In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the t
ratelena [41]

Let's assume

It started in 2000

so, t=0 in 2000

P_0=6.4million

we can use formula

P(t)=P_0 e^{rt}

we can plug value

P(t)=6.4 e^{rt}

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

so, at t=2005-2000=5

P(t)=7.3 million

we can plug value and then we can solve for r

7.3=6.4 e^{r*5}

r=0.02632

now, we can plug back

P(t)=6.4 e^{0.02632t}

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4 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

-------------------

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
2 years ago
A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?
UkoKoshka [18]

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

6 0
2 years ago
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John's dog weighs 16 lbs, John's dog weighs 3 times as many lbs as Jim's dog. How much does Jim's dog weigh?
alexandr402 [8]
16*3=48
Jim’s dog weighs 48 pounds/lbs

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6 0
2 years ago
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Find the value of 4x if x/2=3
Doss [256]

Answer:

24

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x/2 = 3

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Therefore

4x = 4 × 6

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4 0
2 years ago
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