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Licemer1 [7]
4 years ago
14

Sue earns 20$ per hour. How much does she earn in 1/4 of an hour​

Mathematics
1 answer:
lara31 [8.8K]4 years ago
3 0

Answer:

The answer is 5$

Step-by-step explanation:

If he earns 20 dollars in 1 hour, then in 1/4 of an hour he will earn:

Since  1 hour=60 minutes

He earns 20 dollars in 60 minutes

There for he will earn (20/60)=1/3 dollars in one minute

1/4 of an hour=(1/4)×60=15 minutes

To get the amount he earns in 1/4 of an hour or 15 minutes,

=(Number of minutes in 1/4 of an hour)×Amount he earns in 1 minute)=(15×1/3)=5 dollars

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Allushta [10]

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> \frac{180-x}{2}+45=115 \\

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

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QTS   is an isosceles triangle => ∠TQS = 180 -2x

QRS   is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => \left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.

=> x + y = 80

12) EFJ Is an equilateral  triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

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7 0
3 years ago
What is the value of r of the geometric series n=11.3(0.8)n-1
jeyben [28]

the value of r of the geometric series n=11.3(0.8)n-1

an=11.3(0.8)^{n-1}

General formula for nth term of any geometric series is   a_n=a_1(r)^{n-1}

Here 'r' is the common ratio

a_1 is the first term of the series

Now we compare the given formula with general formula

Compare  an=11.3(0.8)^{n-1}  with  a_n=a_1(r)^{n-1}

The value of r= 0.8


6 0
3 years ago
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