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Kaylis [27]
4 years ago
7

a rectanglular poster is 1/2 yard long and 3/4 yards tall. Avery says the area of the poster is 5/4 square yards. What was Avery

s mistake?
Mathematics
1 answer:
artcher [175]4 years ago
7 0

Answer:

3/4

Step-by-step explanation:

The area of the poster =1/2×3/4

=3/8 yard^2


Averys mistake is the

Instead of multiplication addition Is done

1/2+3/4=2+3/4=5/4

Plss Mark as brainiest

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Mr. Nelson bought a car for $20,000 with a 5% interest rate.
MrMuchimi

Answer:

Step-by-step explanation:

do you know the answer

4 0
4 years ago
The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented
leva [86]

The equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: \frac{x^{2}}{a^{2}}  - \frac{y^{2}}{b^{2}}    = 1

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

d= \frac{a^{2}}{c}

Here the directrix line is given as : x= 2304/50

Thus, \frac{a^{2}}{c}  = \frac{2304}{50}

⇒ \frac{a^{2}}{50}  = \frac{2304}{50}

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

5 0
3 years ago
Read 2 more answers
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour. Let f(n) be Prachi's dis
Yanka [14]

Answer:

Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.  

Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.  

f is an arithmetic sequence.  

Write an explicit formula for the sequence.  

f(n) = 70n + 5

Step-by-step explanation:

7 0
3 years ago
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a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Sonbull [250]

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

  • F = 1800 N
  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

3 0
3 years ago
25,812-4.2d=31.311-5.5d
Bas_tet [7]

Let's solve your equation step-by-step.

25812−4.2d=31.311−5.5d

Step 1: Simplify both sides of the equation.

25812−4.2d=31.311−5.5d

25812+−4.2d=31.311+−5.5d

−4.2d+25812=−5.5d+31.311

Step 2: Add 5.5d to both sides.

−4.2d+25812+5.5d=−5.5d+31.311+5.5d

1.3d+25812=31.311

Step 3: Subtract 25812 from both sides.

1.3d+25812−25812=31.311−25812

1.3d=−25780.689

Step 4: Divide both sides by 1.3.

1.3d

1.3

=

−25780.689

1.3

<h2><u><em>d=−19831.299231</em></u></h2>

6 0
3 years ago
Read 2 more answers
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