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guapka [62]
3 years ago
9

15) Simplify the ratio. help

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

r/3

Step-by-step explanation:

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Subtract 9 from 15 then multiply by 5
nlexa [21]
(15-9)*5= 30
The answer is 30
5 0
3 years ago
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A square and an equilateral triangle have equal perimeters. the area of the triangle is 
Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: P_S=4a

The perimeter of a triangle: P_T=3t

We have the area of a triangle: A_T=16\sqrt3\ cm^2

The formula of an area of an equilateral trinagle: A_T=\dfrac{t^2\sqrt3}{4}

Substitute:

\dfrac{t^2\sqrt3}{4}=16\sqrt3    <em>multiply both sides by 4</em>

t^2\sqrt3=64\sqrt3     <em>divide both sides by \sqrt3</em>

t^2=64\to t=\sqrt{64}\to t=8\ cm

The perimeter of a triangle: P_T=3(8)=24\ cm

Substitute to the formula of a perimeter of a square:

4a=24       <em>divide both sides by 4</em>

a=6\ cm

The formula of a diagonal of a square: d=a\sqrt2

Substitute:

d=6\sqrt2\ cm

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B9x%2B20%3D0" id="TexFormula1" title="x^{2} +9x+20=0" alt="x^{2} +9x+20=0" ali
Hoochie [10]

Answer:

We have been given an equation x^2+9x+20=0

We will factorize it by  middle term splitting.

Step 1: x^2+5x+4x+20=0

Taking common factors out by clubing first two terms ad last two terms

Step 2: x(x+5)+4(x+5)=0

Step 3: (x+4)(x+5)=0

Equating both above factors to zero as:

Step 4: (x+4)=0\Rightarrow x=-4

   And (x+5)=0\Rightarrow x=-5.

3 0
4 years ago
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Cubes are three-dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a m
Ymorist [56]
D = m / V 
<span>m = 1.26 g </span>
<span>V = s^3 = 4.1^3 = 68.921 cm^3 </span>
<span>so </span>
<span>D = 12.6 / 68.921 = 0.1828 g/cm^3 </span>
<span>and this corresponds to choice (a)

</span>
7 0
4 years ago
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Quiz TIme:
Pie

Answer:

97

Step-by-step explanation:

8 0
3 years ago
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