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mina [271]
3 years ago
8

A right triangle has sides of length 3 ft., 4 ft., and 5 ft. What is its perimeter? What is its area?

Mathematics
2 answers:
garik1379 [7]3 years ago
5 0
The triangles area would be 3 x 4 = 12 / 2 = 6.
The perimeter would be 12.
murzikaleks [220]3 years ago
5 0
Perimeter would be 3+4+5 which is 12ft. Area would be base x height divided by 2. So 3x4 divided by 2 is 6ft.
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10. If 1000 cm = 1 l, find the capacity of the following water tank in litre
Lelu [443]
<h2>Given :</h2>

  • length = 200 cm

  • breadth = 150 cm

  • height = 100 cm

<h2>Solution : </h2>

\large \boxed{volume = l \times b \times h}

  • 200 \times 150 \times 100

  • 3000000  \: \: cm {}^{3}

Through the statement above we have,

  • \small\mathrm{1000  \: cm³ = 1  \:  \: }l

  • \small\mathrm{1 \: cm {}^{3}  =  \dfrac{1}{1000} \: }l

  • \small\mathrm{3000000 \: cm {}^{3}  = 3000000 \times  \dfrac{1}{1000}  \: }l

  • \small\mathrm{3000000 \: cm {}^{3}  = 3000000 \times  \dfrac{1}{1000}  \: }l

  • \small\mathrm{ 3000 \:  \: litres}

_____________________________

\mathrm{ \#TeeNForeveR}

3 0
3 years ago
a rectangular table top has a length of 4 3/4 ft and an area of 11 7/8 square feet what is the width of the table top
mina [271]
4¾=19/4 and 11⅞=95/8.
Width=area/length=95/8÷19/4=95/8×4/19=5/2=2½ft.
8 0
3 years ago
Marian is 29 and her base premium for auto insurance is $1239.
Dmitriy789 [7]

Answer: $1239.00

Step-by-step explanation:

I had to recheck on this.

For females that are ages 25-29, they have base auto insurance rate, meaning that the rate is set at 1. So multiply the base premium and base rate, 1239x1, and obviously it's the same 1239.

Hope this helped.

7 0
2 years ago
How to write four hundred twelve thousand, nine hundred eighty seven in standard form
Dmitriy789 [7]
The answer is 412,987

I hope this helps :)
6 0
3 years ago
The number of fish in a small bay is modeled by the function F defined by F(t)=10 (t3 â 12t2 + 45t +100), where t is measured in
RSB [31]

The graph of the given function is attached showing characteristics of the function.

The correct responses are;

  • (a) F'(4) = -30 means that <u>on day 4, the number of fish in the bay is decreasing at a rate of 30 fish per day</u>.
  • (b) Over the interval 0 ≤ t ≤ 8 the absolute minimum number of fish in the bay is;<u> 1,000</u>.
  • (c) The values of <em>t</em> at which the rate of change is decreasing is; <u>3 ≤ t ≤ 8</u>
  • (d) The rate of change of the number of pelicans flying near is; P' =  <u>10·(3·c² - 24·c  + 45)</u>

Reasons:

The given function is; f(t) = 10·(t³ - 12·t² + 45·t + 100)

Where;

t = Number of days

0 ≤ t ≤ 8

(a) The derivative of the given function is presented as follows;

F'(t) = 10 × (3·t² - 2×12·t + 45) = 10·(3·t² - 24·t  + 45)

Therefore;

F'(4) = 10 × (3 × 4² - 24 × 4  + 45) = -30

Therefore F'(4) = -30 means that on day 4, the <u>number of fish in the bay is decreasing at 30 fish per day</u>.

(b) The absolute minimum is given as follows;

At a minimum or maximum value, F'(t) = 10·(3·t² - 24·t  + 45) = 0

Which gives;

3·(t - 5)·(t - 3) = 0

t = 5, or t = 3

At t = 5, we have;

f(5) = 10 × (5³ - 12 × 5² + 45 × 5 + 100) = 1,500

At t = 3, we have;

f(3) = 10 × (3³ - 12 × 3² + 45 × 3 + 100) = 1,540

Therefore, f(5) = 1,500 is a local maximum

However, at x = 0, we have;

f(0) = 10 × (0³ - 12 × 0² + 45 × 0 + 100) = 1000

At x = 8, we have;

f(8) = 10 × (8³ - 12 × 8² + 45 × 8 + 100) = 2,040

Therefore, the absolute minimum is given at t = 8, where f(t) = <u>1,000</u>

(c) The values of <em>t</em> at which the rate of change in the number of fish in the

bay is decreasing is between the local maximum at t = 3, and the local

minimum at t = 5, which gives;

The rate of change of the number of fish is decreasing for values of t in the range;

  • <u>3 ≤ t ≤ 5</u>

(d)  P = 10·(t³ - 12·t² + 45·t + 100)

P' =  10·(3·t² - 24·t  + 45)

At time t = c, we have;

  • P' =  10·(3·c² - 24·c  + 45)

<em>Based on a similar question online, we have;</em>

<em>(c) The interval over which the rate of change is decreasing</em>

<em>(d) The rate of change of the number of pelicans flying near the bay at t = c</em>

Learn more about differentiation of functions here:

brainly.com/question/1422315

5 0
2 years ago
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