answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
romanna
6 days ago
6

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with

a perimeter of 105 feet? A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.
Mathematics
1 answer:
Inessa [3.8K]6 days ago
3 0

Response:

26.25 bottles

Detailed explanation:

The trapezoidal flower garden is depicted. The longer base measures 18 feet, the shorter base is 15 feet, the height is 4 feet, and one side measures 5 feet.

The formula for the perimeter of a trapezoid is: Side a + side b + length a + length b

For the trapezoid in question, to calculate the perimeter, first, we identify the missing length

Length a

Height is given as 4 feet

Longer base length = 18 feet

Shorter base length = 15 feet

The difference will determine the base of the right triangle

= 18 - 15 = 3 feet

Using the Pythagorean theorem allows us to calculate side a = c

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c = √25

c = 5 feet

Therefore, side a = 5 feet

The perimeter of the trapezoid is calculated as:

18 feet + 15 feet + 5 feet + 5 feet

= 38 feet.

The question states,

It's necessary to use 2 bottles of fertilizer for the flower garden shown. Determine how many bottles are needed for a similar garden with a perimeter of 105 feet

Thus:

38 feet = 2 bottles

105 feet = x bottles

Cross multiplying yields

= 38 × x = 105 × 2

= 38x = 210

x = 210 / 38

x = 26.25 bottles

To treat the garden with a perimeter of 105 feet, 26.25 bottles of fertilizer are required.

You might be interested in
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
AnnZ [3868]

Answer:

The likelihood that the number of drivers is at most 18 is 0.381.

Step-by-step explanation:

We are provided with the following details in the question:

The quantity of drivers traveling between a specific origin and destination in a set time frame follows a Poisson distribution characterized by the parameter μ = 20.

  • The Poisson distribution defines the probability of a certain number of events taking place over a specific period, based on the mean frequency of those events.
  • The variance for the Poisson distribution matches its mean value of Poisson distribution.

a) P(number of drivers will be at most 18)

Equation:

P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}

P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) +... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381

So, 0.381 represents the probability that the number of drivers will be at most 18.

3 0
5 days ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
tester [3895]
To achieve a positive profit p(x)>0, we start with:
-100 x^{2} +350x-150 \ \textgreater \ 0

Next, we solve for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:
x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3
5 0
10 days ago
Read 2 more answers
Graph a parabola whose xxx-intercepts are at x=-3x=−3x, equals, minus, 3 and x=5x=5x, equals, 5 and whose minimum value is y=-4y
AnnZ [3868]

Answer:

Vertex: (1, -4)

intercept: (-3, 0)

Step-by-step explanation:

Let's be honest, you're not here for a detailed breakdown; you simply want the answer.

HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.

7 0
11 days ago
A triangle drawn on a map has sides that measure 15 cm, 8 cm, and 10 cm. The shortest of the corresponding real-life distances i
Inessa [3895]

Establish a proportion.

8/127=15/x

Cross multiply

8x=1,905

Divide each side by 8

x=238.125

The greatest of the actual distances is 238.125 km.

Hope this clarification helps:)

5 0
7 days ago
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballga
Inessa [3895]

Events A and B are termed independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B),

if not, events A and B are classified as dependent.

The events A, B and A∩B are:

  • A - Jane plans to attend a ballgame on Monday;
  • B - Kate intends to go to a ballgame on Monday;
  • A∩B - Both Kate and Jane will be at the ballgame on Monday.

Pr(A)=0.73,\ Pr(B)=0.61,\ Pr(A\cap B)=0.52.\\ \\ Pr(A)\cdot Pr(B)=0.73\cdot 0.61=0.4453\neq 0.52=Pr(A\cap B).

Answer: events A and B are dependent


4 0
5 days ago
Read 2 more answers
Other questions:
  • The graph shows the linear relationship between the height of a plant (in centimeters) and the time (in weeks) that the plant ha
    10·2 answers
  • True or False: The endpoints of a polygon must conform to snap points, whereas the edges of an area are not confined by snap poi
    9·2 answers
  • If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by
    13·1 answer
  • Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 p
    9·2 answers
  • An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at
    15·1 answer
  • What are the measures of EBG and EBC? Classify each angle as acute,right, abtuse or straight
    12·1 answer
  • Boxplots A and B show information about waiting times at a post office. Boxplot A is before a new queuing system is introduced a
    5·1 answer
  • Find the length of the curve. r(t) = 3 i + t2 j + t3 k, 0 ≤ t ≤ 1
    11·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST
    15·1 answer
  • Data were collected on two variables, x and y, to create a model to predict y from x. A scatterplot of the collected data reveal
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!