All categories

3 years ago

The school designed their rectangular vegetable garden to have a perimeter of 32 feet

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Answer:

The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).

Step-by-step explanation:

This is our system of equations:

y=Length

x=Width

y=2x

2x+2y=32

We can substitute the y value in the second equation by plugging in the first equation:

2x+2(2x)=32

2x+4x=32

6x=32

x=16/3 or 5 1/3

We can plug in this x value into the first equation to find the y value:

y=2(16/3)

y=32/3 or 10 2/3

You might be interested in

Find the values of x and y leave answers in simplest radical form. *The altitude is:

jok3333 [9.3K]

$x = \sqrt{ { \sqrt{18} }^{2} + {2}^{2} } = \sqrt{18 + 4} = \sqrt{22} \\ y = \sqrt{ { \sqrt{18} }^{2} + {9}^{2} } = \sqrt{18 + 81} = \sqrt{99} = 3\sqrt{11}$

5 0

3 years ago

Which relationship describes angles 1 and 2? Select each correct answer. A adjacent angles B complementary angles C vertical ang

Scrat [10]

The correct answer for this question is this one:
<span>- A adjacent angles
-D supplementary angles

The relationship that describes angle 1 and angle 2 is that they are adjacent angles -- at the same time they are also supplementary angles.</span>
Hope this helps answer your question and have a nice day ahead.

3 0

3 years ago

Read 2 more answers

Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 201

ExtremeBDS [4]

Answer:

A. 44.82%

Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)

Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market

Step-by-step explanation:

a. Computation for return on equity for 2015

Using this formula

Return on equity = The Net income amount /The Average stockholders' equity amount

Let plug in the formula

Return on equity=2,634.4/[(5,605+6,151)/2]

Return on equity=2,634.4/(11,756/2)

Return on equity=2,634.4/5,878

Return on equity=0.4482×100

Return on equity= 44.82%

b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)

Therefore the repurchase increase Starbucks’ Return On Equity.

c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market

6 0

3 years ago

Find the measure of Angle R to the nearest tenth. a. 63.8 degrees b. 67.2 degrees c. 70.9 degrees d. 61.5 degrees

Vikki [24]

The complete question in the attached figure

we know that
tan R°=opposite side angle R/adjacent side angle R
opposite side angle R=72 units
adjacent side angle R=25 units
so
tan R°=72/25
R=arc tan (72/25)---------> R=70.85°-------> R=70.9°

the answer is
R=70.9°

8 0

3 years ago

F(x)=2x^2+2x-4 find vertex

8090 [49]

A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2

"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)

Source:
http://www.1728.org/quadr3.htm

4 0

3 years ago