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3 years ago

the diagram shows the layout of the West End East wings of an art gallery find the area of The West Wing

Mathematics

1 answer:

Reil [10]3 years ago

4 0

A.62 square feet

Btw I know you from A+ Academy

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If sinA =3/5 and A+B =90 find cosB

-Dominant- [34]

$A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}$

$Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1$

Other method:

Look at the picture.

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5$

$\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}$

8 0

2 years ago

If you buy a car for $349,985 and the car salesman gets 1/20 of the price of the car. How much will he get?

antiseptic1488 [7]

Answer:

$17499.25

Step-by-step explanation:

349,985*0.05=17499.25

8 0

2 years ago

a car was valued at $41,000 in the year 2009 by 2013 the car value has depreciated to 19,000 if the car value continues to by th

lubasha [3.4K]

Answer:

$6,376.92

Step-by-step explanation:

-Let d be the rate of depreciation per year.

-Therefore, the value after n years can be expressed as:

$A=P(1-d)^n\\\\A=Value \ after \ n \ years\\P=Initial \ Value\\d=Rate \ of \ depreciation\\n=Time \ in \ years$

#We substitute for the years 2009-2013 to solve for d:

$A=P(1-d)^n\\\\19000=41000(1-d)^4\\\\0.475=(1-d)^4\\\\d=1-0.475^{0.25}\\\\d=0.1698$

#We then use the calculated depreciation rate above to solve for A after 10 yrs:

$A=P(1-d)^n\\\\=41000(1-0.1698)^{10}\\\\=\$6,376.92$

Hence, the value of the car after 10 yrs is $6,376.92

3 0

3 years ago

A regular poligon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will ma

PSYCHO15rus [73]

Answer:

"The lines of reflection are parallel to the sides of the polygon" is the statement that is true about the lines of reflection for the polygon that will map the shape onto itself. The correct option among all the options that are given in the question is the third option or option "C".

Step-by-step explanation:

8 0

3 years ago

The perimeter of a right angled

Artemon [7]

A=3cm
or
4cm
P Perimeter

cm
A Area

cm²

7 0

2 years ago