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madam [21]
3 years ago
5

the perimeter of an equilateral triangle is 6x - 12 in each side measures 24 if what is the value of x

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Perimeter of an equilateral triangle = 3(side)

24 = 3(6x - 12)

Distributive property.

24 = 18x - 36

Add 36 to both sides.

60 = 18x

Divide both sides by 18

x = 3.33

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The number of new visits to a website is decreasing exponentially. It can be modeled by the function h(d)=2170(0.92)^d, where h
In-s [12.5K]

Answer:

2) -141 hits/da  

Step-by-step explanation:

Calculate the values of h(2) and h(4)

h(2) = 2170(0.92)² = 2170 × 0.8464 = 1837

h(4) = 2170(0.92)⁴ = 2170 × 0.7164 = 1555

Calculate the average rate of change

Rate of change = (y₂ - y₁)/(x₂-x₁) = (1555 -1837)/(4 - 2) = -282/2 = -141 hits/da

The average rate of change is -141 hits/da.

In the figure below, the red curve represents the function h(d), while the green dashed line represents the average rate of change over the interval 2 ≤ d ≤4.

8 0
3 years ago
What is the formula of LSD in a cuboid?​
7nadin3 [17]

Answer:  The volume of a cuboid is given by the formula V = LWH, and the surface area of a cuboid is given by the formula SA = 2lh + 2wh + 2lw where l = length, w = width, and h = height.

And i was just learning this a few days back lol

8 0
3 years ago
The area of a rectangular plank is 4500 cm². The plank was broken into two pieces, one of which is a square and the other a rect
svp [43]

Answer:

Xs=30cm and As=900 cm^{2}

Step-by-step explanation:

At=As+Ar; A=b.h and At=4500 cm^{2}, then:  At=(x+120)x so

(x+120)x=4500, x^{2} +120x-4500=0 Applying cuadratic equation formula:\frac{120+-\sqrt{120^{2} -4.1.-4500} }{2} =-\frac{120+-\sqrt{14400+18000} }{2}= x1=30 and x2=-150, finally Xs=30cm, and As=900cm^{2}

3 0
3 years ago
Read 2 more answers
assume that the moon is a sphere. what is the volume of the moon if its diameter is 3,476 km? Express your answer in scientific
Arada [10]

Answer:

<u>Volume=2.2*10^10  km^3 </u>

Step-by-step explanation:

Given

Diameter of moon=d=3476 km

The formula for the volume of sphere is:

V=4/3 πr^3

As it can be clearly seen that the formula uses radius, and we are given diameter. So we have to find the radius first

So,

radius=r=d/2

=3476/2

=1738 km

Now putting the value of r and pi in the formula:

V=4/3*3.14*(1738)^3

=12.56/3* 5249879272

= 21979494552.106

Rounded off to two significant digits:

<u>Volume=2.2*10^10  km^3 </u>

7 0
3 years ago
Read 2 more answers
2(P +1) + 3(P + 2 ) &gt; 2
Varvara68 [4.7K]

Answer:

P>-6/5

Step-by-step explanation:

2(P+1)+3(P+2)>2

Use the distributive property to multiply 2 by P+1

2P+2+3(P+2)>2

Use the distributive property to multiply 3 by P+2

2P+2+3P+6>2

Combine 2P and 3P to get 5P

5P+2+6>2

Add 2 and 6 to get 8

5P+8>2

Subtract 8 from both sides

5P>2−8

Subtract 8 from 2 to get −6.

5P>−6

Divide both sides by 5. Since 5 is positive

P>−6/5

​  

 

8 0
3 years ago
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