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sveta [45]
3 years ago
15

A rectangle has a height of 2x^4and a width of x^2+8x+15x

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

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Help...please?? Thanks guys
vfiekz [6]

Answer:

x=20

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse.

The legs are x and 15 and the hypotenuse is 25

x^2 + 15^2 = 25^2

x^2 +225 = 625

Subtract 225 from each side

x^2 +225-225 = 625-225

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0
3 years ago
Read 2 more answers
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra
ivanzaharov [21]
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
n^{th}=a r^{n-1}, where a is the first term in the sequence and r is the ratio

So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
Substituting a=1000 and r= \frac{1}{5} we have 
S_{∞} = \frac{1000}{1- \frac{1}{5} } = 1250

Hence, the correct option is option number 1

6 0
3 years ago
Hey guys so I need help with my math homework what is 4/5 to 1/6 one third away from
Tom [10]

Answer:

0.16

Step-by-step explanation:

6 0
3 years ago
Cosxsinx-2cosx=0<br> I dont know how to solve this
jekas [21]
Factor out cosx: cosx(sinx-2)=0
cosx=0 or sinx-2=0
cosx=0 or sinx=2
the largest value of sinx is 1, sinx will never be 2, so cosx=0, x=π/2 or 3π/2 are the two answers. 
8 0
3 years ago
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then s
Sati [7]

Answer:

See below

Step-by-step explanation:

<u>The estimated number:</u>

  • 300 + 200 = 500

<u>The difference between the estimated number an 1000 is:</u>

  • 1000 - 500 = 500

<u>The exact number:</u>

  • 321 + 204 = 525

<u>The difference between the exact number and 1000 is:</u>

  • 1000 - 525 = 475
6 0
3 years ago
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