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2 years ago

The area of the patio is 216 square feet. Write an equation that represents the area of the patio

Mathematics

1 answer:

Hoochie [10]2 years ago

6 0

Answer:

$216=2w \times w$

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

$A= l\times w$

Where $l$ is the length and $w$ is the width.

Now let's assume that the length of the patio is double than the width.

$l=2w$

So, the equation that represents this problem is

$216=2w \times w$

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Using the Taylor rule, if inflation is 1 percent, desired inflation is 2 percent, and output is 2 percentage points below potent

antoniya [11.8K]

Answer:

1.5%

Step-by-step explanation:

According to the Taylor rule, the federal funds rate targeted by the Fed is:

$FFR = 2+AI+0.5*(AI-DI)+0.5PD$

Where AI is the actual inflation (1%), DI is the desired inflation (2%) and PD is the deviation from potential (2%):

$FFR = 2+1+0.5*(1-2)+0.5*(-2)\\FFR=1.5\%$

The Fed should target a federal funds rate of 1.5%.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B9x%2B20%3D0" id="TexFormula1" title="x^{2} +9x+20=0" alt="x^{2} +9x+20=0" ali

Hoochie [10]

Answer:

We have been given an equation $x^2+9x+20=0$

We will factorize it by middle term splitting.

Step 1: $x^2+5x+4x+20=0$

Taking common factors out by clubing first two terms ad last two terms

Step 2: $x(x+5)+4(x+5)=0$

Step 3: $(x+4)(x+5)=0$

Equating both above factors to zero as:

Step 4: $(x+4)=0\Rightarrow x=-4$

And $(x+5)=0\Rightarrow x=-5$ .

3 0

3 years ago

Read 2 more answers

11/ 42 Marks

amm1812

Answer:

(a)x=128 degrees

(b) $\angle APD\neq 116^\circ$

Step-by-step explanation:

$\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ$

(a) Now:

$\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ$

(b)

$\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ$

$\angle APD\neq 116^\circ$

7 0

2 years ago

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

NARA [144]

Given:

The inequalities are:

$-2$

$-2\leq x$

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

$-2$

$-2\leq x$

For $-2$ , the possible integer values are

$x=-1,0,1,2$ ...(i)

For $-2\leq x$ , the possible integer values are

$x=-2,-1,0,1$ ...(ii)

The common values of x in (i) and (ii) are

$x=-1,0,1$

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

6 0

2 years ago

Kelvin can carry a basket 5 feet rachel can carry it 3 feet further than kelvin daniel can carry it half as far s rachel is it r

Ksenya-84 [330]

I think it eould be 17 feet. 5 plus 8 plus 4 is 17.

6 0

2 years ago