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2 years ago

In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.

1 answer:

7 0

False!

In a 30-60-90 triangle, the hypotenuse (c) is twice the length of the shorter leg (a): c = 2a
In a 30-60-90 triangle, the longer leg (b) is equal to the shorter leg (a) multiplied by √3: b = a√3

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The country of benin in west Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each ye

Oksanka [162]

The function would be the initial plus growth rate * # years

So: f(x) = 9.05 + 0.031(7)
Where x= # years

3 0

2 years ago

Because all of the ending values are given in feet, find the window dimensions in feet. Convert the length of 3 feet, 9 inches s

MA_775_DIABLO [31]

Answer: 3.75 ft

Step-by-step explanation:

Here we are given the measure of the length of a window. Generally the length is given in the International System of units format (meters); however, in this case we are given the length in feet and inches:

$3 ft+9 in$

Now, before converting this whole measure to feet, we have to know that $1 ft=12 in$ , then we can perform the conversion:

$9 in \frac{1 ft}{12 in}=0.75 ft$

This means $9 in=0.75 ft$

Hence:

$3 ft+9 i=3 ft+0.75 ft=3.75 ft$ This is the measure of the length of the window in feet.

8 0

3 years ago

(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) =

Strike441 [17]

Answer:

See below

Step-by-step explanation:

According to the model, the equation is:

P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

If b = 1.75, daily growth rate is:

1.75 - 1 = 0.75 = 75%

If we get P(4) = 55200, find the value of b:

55200 = 3450*b⁴
b⁴ = 55200/3450
b⁴ = 16
b⁴ = 2⁴
b = 2

3 0

2 years ago

Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.

xenn [34]

Answer:

$a_{n}$ = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

$a_{n}$ = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

3 0

2 years ago

Sunnyside Middle School wanted to add a new school sport, so they surveyed the students to determine which sport is most popular

ExtremeBDS [4]

Answer:

Lacrosse = 62 students

Swimming = 62 students

Soccer = 124 students

Football = 186 students

Step-by-step explanation:

Based on the information, we can draw some equations

1. Lacrosse = Swimming

2. Soccer = 2 * Lacrosse

3. Football = 3 * Swimming

4. Football + Soccer + Swimming + Lacrosse = 434

Lets solve for once sport at a time, I will start with Football.

I will put equation 1, 2 and 3 into equation 4

3Sw + 2L + L + L = 434

We can now again put equation 1 into the new equation 4

3L + 2L + L + L = 434

Simplify

7L = 434

L = 434 ÷ 7

L = 62 students

Since L = Sw, 62 students did swimming also

We can put L into equation 2 to solve for So

So = 2 * 62

So = 124 students

And now we can put Sw into equation 3 to solve for F

F = 3 * 62

F = 186 students

7 0

3 years ago