Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:


The distance of the top of the pole to the ground is 15.43 ft.
Answer:
100% of the 2nd monthly payment go toward the repayment of principal.
Step-by-step explanation:
The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus:
×
= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e
= $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal
Answer:
He burnt 1000 calories per hour when playing basketball.
Step-by-step explanation:
Let B be calories burned playing basketball, and C calories burned canoing.
1800 = B + 2C
3200 = 2B + 3C
From 1st equatipn, we get that B = 1800 - 2C
Replacing into the 2nd equation, we have:
3200 = 2(1800-2C) + 3C
3200 = 3600 - 4C + 3C
3200 = 3600 - 1C
C = 3600 - 3200
C = 400
Knowing C, we find B.
B = 1800 - 2C = 1800 - 2*400 = 1800 - 800 = 1000 calories.
Answer:
Her brother catch her at 11 am + 4hour = 15 p.m
Step-by-step explanation:
Given as ;
Speed of Ariel = 45 mph
She left home at 9 a.m
Her brother speed = 60 mph
Her brother left home at 11 a.m
Now from question So As Ariel speed is 45 mph so, after two hours pass , she ahead 90 m .
As her brother travel as 60 mph ,so he travel at ( 60 - 45 )= 15 mph faster
So, with this speed her brother will catch up her at
= after 4 hour .
Hence her brother catch her at 11 am + 4hour = 15 p.m Answer

- 128 cellphones were sold in a week
- 37 more cellphones more were sold than the week before
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- 293 cellphones were sold in given 2 weeks