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mixer [17]
2 years ago
11

Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km

directly from his starting point, find the value of h
Mathematics
1 answer:
Juliette [100K]2 years ago
6 0

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

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Monique borrows $5000 at 5.5% interest compounded daily for 29 days. How much will she owe at the end of 29 days?
slega [8]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed

From the information given,

P = 5000

r = 9

5.5% = 5.5/100 = 0.055

Assuming they are 365 days in a year

n = 365 because it was compounded 52 times in a year.

t = 29/365 = 0.0794

Therefore,

A = 5000(1 + 0.055/365)^365 × 0.0794

A = 5000(1 + 0.00015)^29

A = 5000(1.00015)^29

A = $5022

7 0
3 years ago
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height
rodikova [14]

Answer:

D: 850 cm^3

Step-by-step explanation:

You sum the volumes.

Prism is 15*5*7 = 525

Pyramid is 15*5*13/3  = 325

Sum is 850

5 0
2 years ago
Please hurry and tell me the answer.
vaieri [72.5K]

Answer:

A is correct

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the Perimeter & Area for the following circle.
Feliz [49]

Answer:

A = 28.3 cubic inches; P = 20.1 inches

Step-by-step explanation:

<em>Looks like 3/4 of a full circle</em>

<em>The area of a circle is calculated with the formula: </em>\pi r^{2}

<em>Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.</em>

<em>The radius is given as 3 inches</em>

Area = 3.14*3^{2} = 3.14*9 = 28.26 cubic inches = 28.3 cubic inches

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

<em>Perimeter is calculated with </em>2\pi r<em>.</em>

<em>But this is 3/4 of a circle with an additional two 3-inch sides</em>

Perimeter = \frac{3}{4}*2\pi r + 2(3) = 14.1 + 6 = 20.1 inches

6 0
2 years ago
Read 2 more answers
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more poin
velikii [3]

Answer:

"Team C scored 130 points."

Step-by-step explanation:

Let x represent how many points team B scored.

Team A: 3x + 6

Team B: x

Team C: x + 45

Total: 476 points

476 = (x) + (3x + 6) + (x + 45)

476 = x + 3x + 6 + x + 45

476 = 5x + 51

425 = 5x

x = 85

Team A:

3(85) + 6

= 261 pts

Team B:

= 85 pts

Team C:

(85) + 45

= 130 points

4 0
2 years ago
Read 2 more answers
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