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lord [1]
3 years ago
5

Multiply and simplify the following expression -4√15 x(-√3)

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

\large\boxed{12\sqrt5}

Step-by-step explanation:

\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5

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Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
geniusboy [140]
DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\
------\\
a=2.8\\
p=18
\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
6 0
3 years ago
Four less than the product of a number and 7 is eight more than that number
AveGali [126]

Answer:

i did a wild guess and i got  the answer is 2

Step-by-step explanation:

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8 0
2 years ago
I need help I am trying to find ft
Rus_ich [418]

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3 years ago
What radius of a circle is required to inscribe an equilateral triangle with an area of 35.074 in2 and an altitude of 7.794 in?
levacccp [35]

Answer:

(C) r=5.2 in

Step-by-step explanation:

firstly, we will draw diagram

we know that

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so, we get

r=\frac{2}{3}\times h

now, we can plug

h=7.794

r=\frac{2}{3}\times 7.794

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8 0
2 years ago
which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3
gavmur [86]

Answer:

y=1/3x+1

Step-by-step explanation:

y=mx+b

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2=1+b

1=b

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8 0
2 years ago
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