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Ludmilka [50]
3 years ago
11

On a regional map, the scale shows that 2 cm on the map = 10 actual miles. The actual distance from Forest Hills to Plainville i

s 74 miles. How far apart are these cities on the map?
A.)5 cm
B.)7.4 cm
C.)8 cm
D).14.8 cm
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

D      

Step-by-step explanation:

if every 2 cm on the map=10 miles, I can use my basic knowledge to find out how many cm will equal 70, in this case I can multiply 7 on both sides to find out how many cm on the map will equal 70, so 2(7)cm=10(7)mi will result as 14cm=70mi. Even though the answer seems pretty clear I can round my answer closer to 2 or I can double check by dividing 74 by 10=7.4 times the 2 cm which gets me 14.8.

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garri49 [273]
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5 0
4 years ago
Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2
CaHeK987 [17]

Answer:

Option B. 20\ ft^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

we have

b=4\frac{2}{3}\ ft

h=8\frac{4}{7}\ ft

Convert mixed numbers to an improper fractions

b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft

h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft

substitute the values

A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}

5 0
3 years ago
Read 2 more answers
Suppose x and y vary together such that y = 2 x + 11 . Suppose x varies from x = 2 to x = 8.5 .
Stells [14]

Answer:

a) x changes by 6.5 units

b) y changes by 13 units

Step-by-step explanation:

a. Over this interval, how much does x change by?

Initially, we have that x = 2.

In the end, we have that x = 8.5.

So x changes by 8.5-2 = 6.5 units

b. Over this interval, how much does y change by?

Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15

In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28

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8 0
3 years ago
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Answer:

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Length of pool = 25m

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Total length of he swim s = 25m* 60

= 1500m

You know , 1000m = 1km ,

so,

He swims 1500m/1000m

= 1.5 km

4 0
3 years ago
ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 98°, what is the measure of ∠ABC?
gregori [183]
It's 82 degrees. Subtract your minor arc (98) by 360 to get your major arc, which is 262. Then, subtract 98 (minor arc) from 262 (major arc), which gives you 164. Finally, divide 164 by 2 to get angle ABC.
8 0
3 years ago
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