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mihalych1998 [28]
2 years ago
6

What is the value of a2+c•(2+b) when a =3 , b=6 and c=5

Mathematics
2 answers:
andrey2020 [161]2 years ago
8 0

Answer:

49

Step-by-step explanation:

a² + c(2+b) = a² + 2c+bc

Expand first.

a² + 2c+bc = 3² + 2(5) + 6×5

Substitute a, b and c with actual values.

3² + 2(5) + 6×5 = 9 + 10 + 30

Evaluate.

9 + 10 + 30 = 49

Simplify.

DerKrebs [107]2 years ago
7 0

Answer:

46 is the answer

Step-by-step explanation:

Because:

a2 + c(2+b)

3(2) + 5(2+6)

6 + 5(8)

6 + 40

46

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Sam is at the top of a tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40 ft. T
jek_recluse [69]

Answer:

149.30ft

Step-by-step explanation:

Since the vertical distance between the two tower = 40ft

The angle of elevation from the lower tower to te higher tower = 15°

The horizontal distance between the two towers = x

Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.

Check attached document for better illustration of the triangle.

Tanθ = opposite / adjacent

Opposite = 40

θ = 15°

Adjacent = x

Tan15 = 40 / x

0.2679 = 40 / x

X = 40 / 0.2679

X = 149.30ft

The horizontal distance between the two towers is 149.30ft

7 0
3 years ago
Combine the following expressions.
Keith_Richards [23]

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{27x^{3} }

= \sqrt{9(3)x^2.x}

= \sqrt{9} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 3 × \sqrt{3} × x × \sqrt{x}

= 3x\sqrt{3x}

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

\sqrt{12x^{3} }

= \sqrt{4(3)x^2.x}

= \sqrt{4} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 2 × \sqrt{3} × x × \sqrt{x}

= 2x\sqrt{3x}

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

Thus

3 × 3x\sqrt{3x} - 2 × 2x\sqrt{3x}

= 9x\sqrt{3x} - 4x\sqrt{3x}

= 5x\sqrt{3x}

8 0
3 years ago
Can someone help me on this plzzz
GuDViN [60]

Answer:

54

Step-by-step explanation:

8^2=64

64-8=56

56-2=54

I hope this is right

6 0
2 years ago
Read 2 more answers
Can someone give me the answer with work to this problem?
77julia77 [94]

Answer:

x=10

Step-by-step explanation:

4x-18=3x-8

4x-3x=-8+18

x=10

6 0
2 years ago
Does anyone know the answer?
grigory [225]

Answer:

12.7

Step-by-step explanation:

12.7  

Basically u are gonna wanna use pythagoras first

BC = √(12^2 - 6^2) = √(144 - 36) = √(108) = 10.39230485  

Also the Side Angle Side rule comes into play use the following

BC/sin(55) = CD/sin(90) <----- angle

BC/sin(55) = CD/sin(90) 

sin(90)BC/sin(55) = CD 

1*BC/sin(55) = CD 

BC/sin(55) = CD 

10.39230485/0.819152044 = CD 

12.68666167 = CD 

12.7 = CD

5 0
2 years ago
Read 2 more answers
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