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guapka [62]
3 years ago
13

The area of a piece of land that is in the shape of a triangle is 1/12 square mile. One dimension of this piec of land is 4/21.

Find the number of the second dimension.
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

D2=21/24 mile

Step-by-step explanation:

Her it is not specified if it is base or height, it only talks about dimensions, so let's work with dimensions

A=1/12 mile^{2}

D1=4/21mile, D2=?

Area of a triangle A=\frac{b.h}{2}

A=((D1*D2)/2) → 2A=D1*D2 → D2=2A/D1 so D2=(2*1/12)/(4/21) =(1/6)/(4/21) = (1*21)/(6*4)=21/24 mile

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Lynna [10]
#8 Z=14
#9 D=98
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# 11 A=27
I hope this helps!!
6 0
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How to solve <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20x%20%7B%7D%5E%7B2%7D%20%20%3D%20x%20%2B%202" id="TexFormu
Vikentia [17]

Answer:

➩ x=2,-\frac{2}{3}

Step-by-step explanation:

\sqrt{4x^2}=x+2

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

\sqrt{4x^2}=|2x| ➩ Define of Absolute Value/Square Root

➩ \sqrt{x^2}=|x|

Thus, our new equation is ➩ |2x|=x+2

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

2x=x+2\\

Move x to another side

2x-x=2\\x=2

➨ Where x < 0

-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}

3 0
3 years ago
A person making $500 a week receives a 12% raise, which is an increase in their salary. Find the person’s new weekly salary.
Murrr4er [49]
500 times 1.12 or 12% equals 560
5 0
3 years ago
Please help me solve!!
S_A_V [24]

Answer:

(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)

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8 0
3 years ago
An airplane flying with the wind can cover a certain distance in 2 hours. The return trip against the wind takes 2.5 hours. Find
Anna [14]

Answer:

Wind speed = 30 mph

Plane speed = 270 mph

Step-by-step explanation:

Given that :

Distance = 600 miles

Let speed of airplane = a ; speed of wind = b

Net speed ; with wind = a + b

Net speed against wind = a - b

Time taken with wind = 2 hours

Time taken against wind = 2.5 hours

Recall :

Speed = distance / time ; distance = speed * time

(a + b) * 2 = (a - b) * 2.5

2a + 2b = 600

a + b = 300 - - - (1)

a = 300 - b

2.5a - 2.5b = 600

a - b = 240 - - - (2)

300 - b - b = 240

300 - 2b = 240

-2b = - 60

b = 30

a = 300 - 30

a = 270

Wind speed = 30 mph

Plane speed = 270 mph

4 0
3 years ago
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