MATHEMATICS HIGH SCHOOL

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. She wants the area to be 225 square yards. The situation is modeled by the equation . Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard.

Answers

Answer 1

Answer:

Let

x--------> shorter base in yards

y--------> the longer base in yards

z-------> the height in yards

we know that

the area of the flower garden in the shape of a tra-pezoid is

$A=(1)/(2) (x+y)z$

$A=225\ yd^(2)$

$225=(1)/(2) (x+y)z$ --------> equation $1$

$x=z+3$ --------> equation $2$

$y=z+7$ --------> equation $3$

Substitute equation $2$ and equation $3$ in equation $1$

$225=(1)/(2) ((z+3)+(z+7))z$

$225=(1)/(2) ((z+3)+(z+7))z\n \n450=[2z+10]z\n \n2z^(2)+10z-450=0$

Solve the quadratic equation for z

using a graphing tool

see the attached figure

the solution is

$z=12.71\ yd$

therefore

the answer is

the height of the flower garden in the shape of a tra-pezoid is $12.71\ yd$

Answer 2

Answer: The equation is to be given, judging by the tone problem given but apparently it's not given. The equation can be derived from the problem. The area of a trapezoid is given by the equation $A = ((a+b))/(2) h$ . Also, given that a, is the longer side, then a = h+7 and b (shorter side) = h+3 and h is the height. the equation is then $A = ((h+3)(h+7))/(2)h = 225$ . Solving this quadratic equation, h is 4.84.

Related Questions

In an investment account what if $2000 is invested. What is the value after 3 years if compounded monthly by 6% ?

Answers

Compound interest formula A = P(1 +r/100)^n
A = Amount
r = rate = 6
n = number of compounding time.
P = Principal = $2000.
Since we are compounding monthly, r = 6% p.a = (6/12)% per month.
n= 3 years = 3*12 = 36 months.
Note that since we are compounding monthly, our time would be in months.
A = P(1 +r/100)^n
A = 2000 * (1 + (6/12)/100 )^36
A = 2000 * (1 + 6/1200)^36
A = 2000 * (1 + 0.005)^36 Use your calculator
A = 2000 * (1 .005)^36 = 2393.36
Amount = $2 393.36
That's it. Cheers.

In 36 days a girl spent 18 dollars. On average, what did she spend daily?

Answers

On average, she spent 18/36 = 0.5$

2-90 Frieda Friendly works for a local car dealership. She noticed that 343434
of the cars are sedans and that half of them are white. What fraction of the dealership’s cars are white sedans?

A. Use a unit rectangle to represent this situation. Label the parts carefully. (Complete in your notebook.)

B. Write an equation or a sentence that describes the situation, and answer the question. (Complete in your notebook.)

Write your answer from part (b) as a decimal and as a percent.

PLEASE ISTG IM CRYING OVER THIS QUESTION- I'LL MARK BRAINLIEST!!!!!!

Answers

Do B hope this helps

The concrete company charges $130 for delivering less than yd Superscript 3 of concrete. For yd Superscript 3 and more, the charge is $/yd Superscript 3 with a fraction of a yard charged as a fraction of $.65 Use function notation to write the charge as a function of the number x of cubic yards delivered, where 0x10, and graph this function. Question content area bottom Part 1 Choose the correct function below.

Answers

Answer:

Step-by-step explanation:

To write the charge as a function of the number of cubic yards delivered, we can define two separate cases:

Case 1: For deliveries less than yd³, the charge is a flat fee of $130.

Case 2: For deliveries of yd³ or more, the charge is $/³, where a fraction of a yard is charged as a fraction of $0.65.

Let's use function notation to write the charge as a function of the number of cubic yards delivered, where 0 ≤ ≤ 10.

The function can be written as:

() =

\begin{cases}

130 & \text{if } < \\

0.65(-) + \frac{}{} & \text{if } ≥ \\

\end{cases}

Here, () represents the charge for cubic yards delivered, and is the threshold value in cubic yards where the charge changes.

To graph this function, we can plot points on a coordinate plane by choosing different values for and . The resulting graph will have two parts: a flat line representing the flat fee of $130 for < , and a linear line representing the variable charge of $/ for ≥ . The point where these two lines meet will be the threshold value (, 130).

Joshua delivered 30 hives to the local fruit farm.if the farmer has paid to use 5% of the total number of Joshua's hives,how many hives does Joshua have in all?

Answers

7 hives in all is your answer for this problem.

Answer:

600!!

Step-by-step explanation:

Click here !!! help me solve this problem !!!!

Answers

Y=x^3+4 because if you mulitiply x 3 times and then add it by 4 then you should get y

y = x³ + 4 will be our equation

Because:

5=1³ + 4
5 = 1 +4
5 = 5 (its correct)

129 = 5³ + 4
129 = 125 + 4
129 = 129

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