Finding lengths. Write similarity statements for three triangles in the diagram. then find the given length. Find HF

Mathematics

2 answers:

Leokris [45]2 years ago

8 0

Answer:

∆GHE ~ ∆FHG ~ ∆FGE

HF = 16

Step-by-step explanation:

The similar triangles can be identified this way.

∆GHE ~ ∆FHG ~ ∆FGE

Then the proportion involving sides FE, FH, FG can be written as ...

FG/FE = FH/FG

FH = FG²/FE . . . . . . . multiply by FG

FH = 20²/25 . . . . . substitute given values

FH = 16

The length of HF is 16 units.

SOVA2 [1]2 years ago

4 0

Answer:

HF = 15??

Step-by-step explanation:

i think the question is incorrect cause there's no solution, I've been struggling help u answer the question for 10 minute but... anyway please refer to the pic

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Use the formula for compound interest, a P 1 i n = ^ h + , to determine how many years it will take for an investment of W10 000

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The money will be triple after 15 years and 303 days.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

Principle (P) = $10,000

The amount will be triple.

So, Amount (A) = $30,000

Rate (r) = 7% = 0.07

The interest is compounded quarterly.

n = 4

We have to find the value of t.

Let,

$A = P(1+\frac{r}{n})^n^t\\ 30000 = 10000(1+\frac{0.07}{4})^4^t\\\frac{30000}{10000} = (1 + 0.0175)^4^t\\ 3 = (1.0175)^4^t$

Apply logarithm on both sides,

$log(3) = log(1.0175)^4^t\\log(3) = 4t log(1.0175)\\t = \frac{log(3)}{4(log(1.0175))} \\t = \frac{0.4771212547}{4(0.0075344179)} \\t = \frac{0.4771212547}{0.0301376716} \\t = 15.83139$