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Elden [556K]
4 years ago
11

Vector's map has the scale missing. He knows that the distance from the lake to the youth center is 8 miles. On the map, they ar

e 2 inches apart. What is the scale for vector's map
Mathematics
1 answer:
Arisa [49]4 years ago
6 0
We can set up a proportion here. On map scales, the scale goes like:

“1 (length on the map) : x (real life length)”
Here, we have 2 : 8. We need to make it so the first number is 1, because thats easier for measuring.

2 : 8 /divide both sides by 2
1 : 4

The scale would be 1in : 4mi (in other words, 1 inch on the map corresponds to 4 miles in real life).
You might be interested in
Suppose a and b are independent events if p(a/b)=.25 and p(b)=.6 what is P(AnB)?
artcher [175]

Answer:

C) 0.15

Step-by-step explanation:

<u>Independent Probabilities Formula</u>

P(A | B) = P(A) = P(A ∩ B) ÷ P(B)

P(A | B) = 0.25

P(A) = 0.25

P(B) = 0.6

If P(A) = P(A ∩ B) ÷ P(B)

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.25 × 0.6

P(A ∩ B) = 0.15

7 0
3 years ago
4. Sketch two triangles (You do not have to provide the sketch). Label the lengths of the sides of Triangle A as 3, 4, and 5. La
weqwewe [10]
The answer 
let 's consider the triangle A,
the height is 4
the basis is 3
the hypotenuse 5

A is a right triangle
<span>.a) the sum of the measures of the acute angles of any right triangle is 90°
proof:
the sum of angles in a right triangle is 180° 
so x° +90° (right angle)= 180°, x is  </span>the sum of the measures of the acute angles, x= 180° -90° = 90°
b) <span>Write the tangent ratios for the acute angles of Triangle A
</span>    by using definition, tan = opposite side / adjacent side
let's condider the acute angle 30°
 tan 30° = 3/4, because opposite side =3 and adjacent side=4
 for the other one, applying the some method we found:
 tan 60°= 4/5
we can find also he tangent ratios for the acute angles of Triangle B, by using the same method as given above:
tan 30° = 5/12, because opposite side =5 and adjacent side=12
 for the other one, applying the some method we found:
 tan 60°= 12/13
the main <span>rule describing the relationship between the tangents of the acute angles of any right triangle is 
</span>tangente =  opposite side / adjacent side



4 0
3 years ago
Find the product of 2/3 × 4/7<br>​
kirill [66]

Answer:

8/21

Step-by-step explanation:

2x4 = 8

3x7 = 21

8/21 cannot be simplified

3 0
2 years ago
Read 2 more answers
1/2(5x-6)-1/3(9x-15)+1
djverab [1.8K]

1/2(5x-6)-1/3(9x-5)+1

5/2x-3-3+5+1     distribute

5/2x-6+5+1        combine like terms

5/2

6 0
3 years ago
Read 2 more answers
Write an<br> i explicit formula for an, the nth term of the sequence 200, 40, 8, ....
Ugo [173]

Answer:

T_n = 200 * (\frac{1}{5})^{n-1

Step-by-step explanation:

Given

Sequence: 200,40,8

Required

The nth term

The given sequence is a geometric sequence.

So, first we identify the first term

a = 200

Calculate common ration

r = \frac{40}{200} or r = \frac{8}{40}

r = \frac{1}{5}

So, the nth term is:

T_n = ar^{n-1

T_n = 200 * (\frac{1}{5})^{n-1

5 0
3 years ago
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