Hello!
Let's make a proportion:
Cross multiply
45 × 6 = 270
Divide by 30
270 ÷ 30 = 9
Let's make a proportion:
Cross multiply
45 × 6 = 270
Divide by 30
270 ÷ 30 = 9
A scale for a map states that 2 inches equals 25 miles. If the distance from Dallas to Houston on the map is 19.2 inches, what i
2 answers:
Answer:
240
Step-by-step explanation:
When doing proportions you multiply the numerator of one fraction by the denomenator of the other. Here the available pair is 19.2 and 25. This means that we multiply 19.2 by 25, which equals 480. The next step is to divide by the remaining numerator or denomenator. Here we divide 480 by 2, which equals 240.
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3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium and small.
<span> a.How far is the spot on the beach from the parking lot? </span>Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
