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kvasek [131]
3 years ago
9

Can someone please help me on this

Mathematics
2 answers:
Blizzard [7]3 years ago
7 0

Answer:

28.4 miles less

Step-by-step explanation:

1. Find the length of the third side of the triangle with the pythagoream theroum

2. Pythagorean theroum= a^2+b^2=c^2

3. 45^2+ 55^2=c^2

4. 2025+3025=c^2

5. 5050=c^2

6. 71.06=c

7. Instead of driving 100 miles to work, Evelyn will now drive only 71.06 miles to work

7. That is 28.4 miles less than before

Ivan3 years ago
4 0

Answer:30 miles you save 30 miles

Step-by-step explanation: if you go around its 48+55=103 miles

Do formula a^2+ b^2= c^2

48^2+ 55^2=c^2

2304+3025= c^2

5329=c ^2

Sq rt of 5329 is 73

103-73=30

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Answer:

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Step-by-step explanation:

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2 years ago
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A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her
Ivahew [28]

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

7 0
2 years ago
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

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5 0
2 years ago
An online shopping club has 12,500 members when it charges $8 per month for membership. For each $1 monthly increase in membersh
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Answer:

Revenue  =  Members  *  (Cost Per Member)

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Step-by-step explanation:

Revenue  =  Members  *  (Cost Per Member)

R  = (12.500 *8) =

R= 100.000

R  = (12.500 - 500) ( 8 + 1)=

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Where x represents the number of $1  increases

Where x represents the number of $1  increases

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vichka [17]

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Thursday and Tuesday start with t

Monday, Wednesday, Friday, Saturday, and Sunday do not.

Step-by-step explanation:

7 0
3 years ago
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