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4 years ago

The length of the hypotenuse of a 30-60-90 triangle is 4 find the longer leg

Mathematics

1 answer:

Kay [80]4 years ago

5 0

The longer leg to the triangle should be 90 because its the largist angle if that is what it is askng

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The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to mode

astraxan [27]

Answer:

The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

7 0

4 years ago

Determine area of the peice

katen-ka-za [31]

The answer is 79.56.

3 0

4 years ago

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maks197457 [2]

Ms. Harris commission rate is 11.76 percent

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4 years ago

(5 x 10^2)^−2 i dont get it

ss7ja [257]

Answer:-250,000

Step-by-step explanation:

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3 years ago

At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years

Mashutka [201]

ANSWER:

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

SOLUTION:

Given,

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,

When interest is compound Annually:

$Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0

3 years ago