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sveticcg [70]
3 years ago
12

The perimeter of this triangle

Mathematics
1 answer:
Olegator [25]3 years ago
6 0

Answer:

Perimeter = 3x+7

Step-by-step explanation:

x + x + (x+7) = (x+x+x) + 7

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How to do this question
Dafna11 [192]

Answer:

0

Step-by-step explanation:

Given:

f(x) = \begin{cases} -x -2 &, &x < 0 \\ x &, &0 \leqslant  x < 3 \\ x^2 -1 &, &3 \leqslant x \end{cases}

Solving for f(0):

f(0) = x \text{ when } x = 0 \\ f(0) = 0

6 0
2 years ago
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Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.
kondaur [170]

Answer:

87.92

Step-by-step explanation:

3.14(a²+ab)=

<em>Plugging in values for a and b</em>

3.14(4²+4×3)=

3.14(16+12)=

3.14(28)=

87.92

6 0
3 years ago
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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
I need this answer asap
densk [106]

Answer:

16 x 6 divided by 2 is 48

First add the two bases together whenever you're trying to find the area of a trapezoid then multiply it by the height and multiply by it by 1/2 (which basically you divide by 2).

7 0
2 years ago
Geoff must mentally multiply –5 × 0.75 × 20. Which shows how Geoff could use the associative and commutative properties to make
joja [24]

Answer:

Step-by-step explanation:

–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20).  I chose this configuration because 0.75 * 20 is 15.  Next, evaluate -5(15).  This is -75.  This matches Answer D.

4 0
2 years ago
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