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Bezzdna [24]
3 years ago
11

A) Calculate the magnitude of the angle a in the diagram above.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0

Answer:

angle a = 53.13 degrees and OT = 5cm

Step-by-step explanation:

Tan A = 4/3

A = 53.13

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In a school, the number of boys is 9 more than thrice the
SCORPION-xisa [38]

\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}

Let the number of girls = x

Then, According to the question,

number of the boys = 9 + 3x

Total students in class = 60, so

9  + 3x + x = 60 \\  =  > 9 + 4x = 60 \\  =  > 4x = 60 - 9 \\  =  > 4x = 51 \\  =  > x = 51 \div 4 \\  =  > x = 12.75

On rounding off

Then, number of girls = 13

3 0
2 years ago
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Jericho is a botanist and is researching about a particular species of plant. He found that the number of plants in his testing
yarga [219]

Answer:

Step-by-step explanation:

Let initial number of plants =100

Increase I year                        60

Number after 1 year               160

Increase IIyear 60%                96

Number after II year               256

Increase in III year 60%           153.6

and so on

In general if t is number of years and N number of plants after n years

the expression would be

N(t)=N_{0} (1.06)^t

In other words, the expressions wouldbe the same as amount after t years of compound interest.

7 0
3 years ago
A file cabinet is 48in. tall, 15 in. wide and 24in. deep. find the volume of the file cabinet
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4 0
2 years ago
If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

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Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

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The amount of tax is 7% of this value, or ...

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So, payment is made on the amount ...

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$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

__

<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
Simplify
enot [183]

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the answer you are looking for is 10d

7 0
3 years ago
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