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3 years ago

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Jim and Jabu join a gym. Jim's gym take R150 deposit,and he pays R120 monthly. Jabu's gym takes no deposit, but his monthly paym

ent is R150. They compare their total payments after four months, after five months and after six months.
3.1 Reasoning
3.2 Number sentence

1 answer:

Svetlanka [38]3 years ago

7 0

Answer:

What should I answer?

Step-by-step explanation:

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While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th

Delicious77 [7]

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

8 0

3 years ago

30% of___ is 15 ?????

tensa zangetsu [6.8K]

Answer:

15 is 30% of 50

Step-by-step explanation:

We have, 30% × x = 15

Multiplying both sides by 100 and dividing both sides by 30,

we have x = 15 × 100/30

x = 50

If you are using a calculator, simply enter 15×100÷30, which will give you the answer.

7 0

2 years ago

Solve 2m + 4m - 3m squared

Vitek1552 [10]

Answer:

3m^2

Step-by-step explanation:

i hope this helps!! :)

4 0

3 years ago

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

3 0

3 years ago

According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What

taurus [48]

Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

$\tan x=\frac{perpendicular}{base}$

i.e. $\tan x=\frac{1}{12}$

i.e. $\tan x=0.0833$

i.e. $x=\arctan 0.0833$

i.e. x = 4.8°

Thus, the maximum angle made by the ramp with the ground is 4.8°.

3 0

3 years ago