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Murrr4er [49]
3 years ago
12

(a)

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

x + 4x = 90

x = 90/5 = 18°

Step-by-step explanation:

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Archimedes knew that at 7 AM, the sunlight reaches the ground at an angle of 31, degrees. The rock beside which he slept was 5 m
evablogger [386]

Answer: Archimedes go to sleep at 8.32 metres away from the rock.

Step-by-step explanation:

Given that the rock beside which he slept was 5 meters tall

Height h = 5m

Angle Ø = 31 degree

To get distance x away from the rock, we will use trigonometry function. SohCahToa

TanØ = opposite/adjacent

Tan 31 = 5/x

x = 5/tan31

x = 8.32m

7 0
4 years ago
Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the origi
LUCKY_DIMON [66]

Answer:  $34.32

Step-by-step explanation: We first calculate the price of the dress that was on sale. 30% of 35 is 35/10 x3. This is equal to 3.5x3 which is 7+3.5 = 10.5 We subtract this from 35 to get $24.5. So, the dress cost $24.5. Next 1/2 of 17 is 8.5. In total, the items cost $24.5+$8.5 = $33. Then, there is a 4% sales tax we have to add on to 33. 1% of 33 is 33/100 which is 0.33. This time 4 is 1.32. 33+1.32 is 34.32.

5 0
1 year ago
Consider the following system of equations
Vera_Pavlovna [14]
Hsisvskevwovewhsjsbaoaa
3 0
3 years ago
Multiply. Write your answer as a fraction in simplest form. <br> 8(3/26)
steposvetlana [31]

Answer:

12/13

Step-by-step explanation:

I hope this helps!

8 0
3 years ago
Shelia leaves on a long trip driving at a steady rate of 45 miles per hour. Her sister Allison leaves from the same location tra
densk [106]
Let the time Shelia spend on the road be t. Thus, the time Allison spends on the road will be t-2 (assuming t is at least 2 hours).

Since distance is speed*time, we want the time when the distance Allison and Shelia to be the same:
45*t=60*(t-2)
120=15t
t=8

Therefore, Allison will catch up the Shelia after Shelia is on the road for 8 hours (6 hours driving time for Allison).
3 0
3 years ago
Read 2 more answers
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