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disa [49]
3 years ago
11

Help anyone can help me do this question,I will mark brainlest.​

Mathematics
2 answers:
skad [1K]3 years ago
7 0

Answer:

144 cm²

Step-by-step explanation:

<u>Finding square STUV's side lengths:</u>

Square the area of square STUV to find the side lengths.

√169 = 13

Therefore, the side lengths of square STUV are 13 cm.

<u>Finding triangle VRS last side length:</u>

Since we now have 2 out of 3 side lengths for triangle VRS and it's a right triangle, we can use Pythagorean Theorem to find the last leg.

a² + b² = c²

a² + 5² = 13²

a² + 25 = 169

a² = 144

√a² = √144

a = 12

Therefore, the last side length is 12 cm.

<u>Square PQRV's area:</u>

Now that we know the side length of square PQRV is 12 cm, simply square the value to find the area.

12² = 144

Therefore, the area of square PQRV is 144 cm².

Elina [12.6K]3 years ago
6 0
144 square cm
Do the Pythagorean theorem
Since sTUV is a square one side is 13 cm
So 5^2 + x^2 = 13^2
25+ x^2 = 169
x^2 = 144
So side rv is 12 cm
Since pqrv is a square you square 12 cm and get 144 square cm for the area.
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Answer:

its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

Step-by-step explanation:

Given that;

gold mine is projected to produce $52,000 during its first year

produce $50,000 the second year

produce $48,000 the third year

the mine is expected to produce for 20yrs; i.e n = 20

annual interest rate = 4% = 0.04%

now let P represent the present worth

we determine the present worth ;

Present worth ⇒ Cashflow(Uniform series present worth) - (2000)(uniform gradient present worth)

⇒Cashflow(P | A,i%,n) - (2000)(P | G,i%,n)

= 52000[ ((1+i)ⁿ - 1) / (i(1+i)ⁿ) ] - (2000)[ {((1+i)ⁿ - 1) / (i²(1+i)ⁿ))} - (n/i(1 + i)ⁿ) ]

= 52000[ ((1+0.04)²⁰ - 1) / (0.04(1+0.04)²⁰) ] - (2000)[ {((1+0.04)20 - 1) / ((0.04)²(1+0.04)²⁰))} - (20/0.04(1 + 0.04)²⁰) ]

= 52000[ ((1.04)²⁰ - 1) / (0.04(1.04)²⁰) ] - (2000)[ {((1.04)²⁰ - 1) / ((0.04)²(1.04)²⁰))} - (20/0.04(1.04)²⁰) ]

= 52000[ ((2.191123 - 1) / (0.04(2.191123) ] - (2000)[ {((2.191123 - 1) / ((0.0016)(2.191123))} - (20/0.04(2.191123) ]

= 52000(1.191123/0.08764) - (2000){( 1.191123/0.003506) - (20/0.87645)}

= 52000(13.59033) - (2000)(339.7582 - 228.1935)

= 52000(13.59033) - (2000)(111.5647)

= 706695.6 - 223129.4

= 483,566.2 ≈ 483,566

Therefore its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

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3 years ago
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