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Alexeev081 [22]
3 years ago
14

Choose a number between 61 and 107 that is a multiple of 4,5, and 10

Mathematics
2 answers:
lidiya [134]3 years ago
8 0
4|2 \\ 2|2 \\ 1 \\ 4=2^2\\ \\ 5|5 \\ 1 \\ \\ 10|2 \\ 5 \ |5 \\ 1 \\ \\ 10=2*5  \\ \\ \ [  4;5;10 \ ]=2^2*5=4*5=20 \\ \\ 61 < M _{20} < 107 \\ \\\boxed{ M_{20}= \{ 80;100 \}}
nevsk [136]3 years ago
7 0
4\times5=20-is\ a\ multiple\ of\ 10\\\\20\times4=\boxed{80}\\\\20\times5=\boxed{100}
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Given: AABC, AC = 5<br> m C = 90°<br> m A= 22°<br> Find: Perimeter of AABC<br> A<br> C<br> B
Leto [7]

9514 1404 393

Answer:

  perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

  Tan = Opposite/Adjacent

  Cos = Adjacent/Hypotenuse

From these, we have ...

  opposite = 5·tan(22°) ≈ 2.02

  hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

  P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

7 0
2 years ago
Barnabus caught 84 fish in 4 days. Each day he caught 10 more than on the day before. How many fish did he catch each of the 4 d
balandron [24]
X + x + 10 + x + 20 + x + 30 = 84.
4x + 60 = 84.
84 − 60 = 24
4x =  24.
24 / 4 = 6 = x.

Answer:
Day One:  6 fish
Day Two:  16 fish
Day Three:  26 fish
Day Four:  36 fish
5 0
3 years ago
Write an equation for 22 = -11k
Naily [24]

Step-by-step explanation:

In words it is:   The product of -11 and k is 22.

The solution is:   -11  =  +11

                            22+11 = 33

                              33  =  k

6 0
3 years ago
Help!!
Elza [17]

Answer:

(b)\ 2x - 9 = -1

(c)\ -2x + 12 = 4

(e)\ 2(x - 10) = -12

Step-by-step explanation:

Required

Which equals x = 4

(a)\ 2x + 6 = 2

Collect like terms

2x  = 2 - 6

2x  = -4

Divide both sides by 2

x = -2

(b)\ 2x - 9 = -1

Collect like terms

2x = -1 + 9

2x = 8

Divide both sides by 2

x = 4

(c)\ -2x + 12 = 4

Collect like terms

-2x =- 12 + 4

-2x =-8

Divide both sides by -2

x = 4

(d)\ 2(x + 2) = 10

Divide both sides by 2

x + 2 =5

Collect like terms

x = 5-2

x = 3

(e)\ 2(x - 10) = -12

Divide both sides by 2

x - 10 = -6

Collect like terms

x = 10 - 6

x = 4

Hence, the equations with the required solution are:

(b)\ 2x - 9 = -1

(c)\ -2x + 12 = 4

(e)\ 2(x - 10) = -12

3 0
2 years ago
Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.
grigory [225]

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate  = 2, which is the opposite of what we found)

8 0
2 years ago
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