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Dahasolnce [82]
3 years ago
12

What is the value of x? Trigonometry A) 26.35 B) 26.9 C) 51.96 D) 65.58

Mathematics
1 answer:
maria [59]3 years ago
7 0

Step-by-step explanation:

By Sine Rule,

x/sin42° = 37/sin110°.

Hence x = 37sin42°/sin110° = 26.35 in. (A)

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The length of a rectangle is three more than twice the width. Determine the dimensions that will give a total area of 27m^ {2}.
AveGali [126]

Answer:

3m and 9m

Step-by-step explanation:

length of the rectangle = 2w+3

width of rectangle = w

area = L*W

if area = 27m²

then (2w+3)w=27

=2w²+3w-27=0

using factorization w= 3 or -4.5

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saveliy_v [14]

Answer:

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Step-by-step explanation:

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Scorpion4ik [409]
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4 years ago
Use the compound interest formula A =​P(1 + ​r) t and the given information to solve for r.
Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

A=P(1+r)^t

where

A=2300

P=1600

t=6.

A=P(1+r)^t

2300=1600(1+r)^6

Divide both sides by 1600:

\frac{2300}{1600}=(1+r)^6

Simplify:

\frac{23}{16}=(1+r)^6

Take the 6th root of both sides:

\sqrt[6]{\frac{23}{16}}=1+r

Subtract 1 on both sides:

\sqrt[6]{\frac{23}{16}}-1=r

So the exact solution is r=\sqrt[6]{\frac{23}{16}}-1

Most likely we are asked to round to a certain place value.

I'm going to put my value for r into my calculator.

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