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satela [25.4K]
2 years ago
6

The distance between boston and chicago on a map is 9 inches. If the scale of the map is 1 inch : 95 miles, what is the actual d

istance from boston to chicago
Mathematics
1 answer:
meriva2 years ago
8 0
95 x 9 = 855 miles from Boston to chicago answer is 855.
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marusya05 [52]

Answer:

invite taka kung and I have to go out for the night as well and

Step-by-step explanation:

sige and sa couple member a said weeks the a of days is will

8 0
2 years ago
REALLY NEED HELP ASAP!!!!!!!
stich3 [128]

Answer: OPTION C

Step-by-step explanation:

There are some transformations for a function f(x). Some of them are shown below:

1. If f(x)+k, the function is shifted up "k" units.

2. If f(x)-k, the function is shifted down "k" units.

3. If f(x+k), the function is shifted left "k" units.

4. If f(x-k), the function is shifted right "k" units.

In this case you know that the function "g" is the transformation of the function "f".

Observe that the function "f" intersects the y-axis at:

y=2

And the function "g" intersects the y-axis at:

y=-2

Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".

Then, the rule that shows that transformation is:

g(x)=f(x)-4

5 0
3 years ago
Find an explicit rule for the nth term of the sequence.
taurus [48]

Answer: -4 . 2ⁿ⁻¹

Step-by-step explanation: This is a geometric progression

the nth term is given by arⁿ⁻¹

a = the first term of the sequence

r = common ratio

n=  number of terms

for this sequence

a = -4

r = -8/-4 = 2

nth term, an = -4 . 2ⁿ⁻¹

3 0
3 years ago
paul paid $25.50 for 3 cups of hot chocolate and 4 cups of hot tea. the cost of each cup pf tea was 2.3 the cost of each cup of
Bumek [7]
How To Solve It:

$2.30 x 4 = $9.20

$25.50 - $9.20 = $16.30

$16.30 ÷ 3 = $5.43

Answer:

Each cup of hot chocolate costs $5.43

I hope this helps! :)
5 0
3 years ago
O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° res
Viktor [21]
<h3>Answer:  roughly 12.6274 meters</h3>

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

===========================================================

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

-----------------------------------

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

----------------------------------

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

8 0
3 years ago
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