A triangular garden has angles of 80, 50, and 50. If the longest side is 40 feet, what is the length of the remaining sides?

Answer:

this is your answer look it once

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

Answer:

6=-3/4x+(-4)

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y)  and (6 x). When you are writing linear equations you use the form y=mx+b.

Hope this helps

Answer:

Step-by-step explanation:

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.

Answer:

$0.52

Step-by-step explanation:

To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed

unit price = price of the bunch / total people to be fed

$7.75 / 15 = $0.52

Answer: (2t - 5) • (t - 1) -  2  = 0

t=3

Step-by-step explanation:

Answer:

ok!

Step-by-step explanation:

the mean is 8.125 and the median is 7

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees

Answer:

p is the answer!!!!!!!!!!!!!

Answer:

x=6+4

x<10

(-∞,10)

Step-by-step explanation:

Inequalities are the greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Answer: 50 degrees

Step-by-step explanation: the total degree is 90 90-40=50

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

Answer:

54 centimeters

Step-by-step explanation:

Answer:

yall its 9 i got it right on the test in edg

Step-by-step explanation:

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given as,

6, 9, 12, 15, x, .....

The common difference between the succession term remains constant. Then the equation is given as,

15 - 12 = x - 15

Simplify the equation, then we have

15 - 12 = x - 15

3 = x - 15

x = 15 + 3

x = 18

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ6

The complete sequence is given below.

6, 9, 12, 15, x, ......

Answer:

d) A foundation may be a rectangle : 24² + 32² = 40²

Step-by-step explanation:

P.S - The exact question is -

Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.

To find - Which best describes the foundation?

a) A foundation can not be a rectangle : 24 + 32 ≠ 40

b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²

c) A foundation can not be a rectangle : √24² + 32² ≠ 40²

d) A foundation may be a rectangle : 24² + 32² = 40²

Proof -

We have to check whether the shape of the frame is rectangle or not.

As we know that,

A diagonal divides the rectangle in two right angle triangles

So,

Given that Length = 24

                  Width = 32

                  Diagonal = 40

By applying Pythagoras theorem, we get

40² = 24² + 32²

So,

The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

<A=135°

now

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

540 times the hours he runs

Step-by-step explanation:

Simply just 540 times the hours he runs

Answer:

32 pints

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

24

Answer: y = -0.5x + 1

Answer: [tex]1272.51\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of each candle is [tex]d=6\ cm[/tex]

The height of each candle is  [tex]h=9\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

The volume of each candle is

[tex]\Rightarrow V=\pi \times 3^2\times 9\\\Rightarrow V=254.502\ cm^3[/tex]

For 5 candles it is

[tex]\Rightarrow 5V=1272.51\ cm^3[/tex]

Total wax used for 5 candles is [tex]1272.51\ cm^3[/tex]

Answer:

it's 933

sorry i dont have discord insta.gram or any social media but i can add you on here

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC