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Alinara [238K]
3 years ago
7

What is the missing length?

Mathematics
2 answers:
Alika [10]3 years ago
8 0
The missing length is 51.5, I hope this helps :)
scoray [572]3 years ago
7 0

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

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Answer:

wenus.

Step-by-step explanation:

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3 years ago
A scale on a map shows that 2 inches = 25 miles.
Simora [160]
A:
2 inches - 25 miles
x inches - 60 miles

Set up a proportion:
\frac{2}{25} = \frac{x}{60} \\ \\
\frac{2}{25} \times 60=x  \\ \\
\frac{120}{25}=x \\ \\
x=4.8

4.8 inches on the map represent 60 miles.

B:
2 inches - 25 miles
1/4 inches - x miles

Set up a proportion:
\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\
\frac{2}{25}x=\frac{1}{4} \\ \\
x=\frac{1}{4} \times \frac{25}{2} \\ \\
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3.125 miles are represented by 1/4 inches on the map.
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3 years ago
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5 0
3 years ago
The diagram shows some land in the shape of a quadrilateral ABCD. AB = 6 km, AD = 5 km and CD = 12 km Angle BAC = 30 The land is
Goshia [24]

Answer:

£495 million

Step-by-step explanation:

To find out the total cost of the land, we need to first calculate the area of the land.

Step 1: Find area of right angled triangle ADC

AD = 5 km,

DC = 12 km

Area of the right triangle = ½*a*b

a = 5km

b = 12km

Area = ½*5*12

= 5*6

Area of ADC = 30 km²

Step 2: Find the area of triangle ABC

First, let's find the length of AC using Pythagorean theorem

AC² = AD² + DC²

AC² = 5² + 12² = 25 + 144

AC = √169

AC = 13km

Area of ∆ABC = ½*AB*AC*sin(30°)

= ½*6*13*0.5

= 3*13*0.5

Area of ∆ABC = 19.5 km²

Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²

Step 3: calculate how much the land costs

If the land costs £10 million per km²,

Cost of 49.5 km² = 49.5 × 10 = £495 million

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3 years ago
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