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2 years ago

Can somebody help me?

Mathematics

1 answer:

babymother [125]2 years ago

3 0

Answer:

15% markdown

Step-by-step explanation:

In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:

$\frac{828.75}{975}$

with this fraction, we're going to multiply it by 100, with an equation looking like this,

$\frac{828.75}{975}$ × $\frac{100}{1}$

once we multiply(typically using a calculator, though manually is possible of course) we get 85.

In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75

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Step-by-step explanation:

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2 years ago

Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

First case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

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$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

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we know that

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$B=30^o$

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Find the length side c

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substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

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Second case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

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using a calculator

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Find the measure of angle C

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The sum of the interior angles in any triangle must be equal to 180 degrees

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$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

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therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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