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bezimeni [28]
3 years ago
5

A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p

oint R, a distance 12km on a bearing 325°. Calculate PR
Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

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You could turn the fraction into a decimal and then see which is bigger
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Find the sum of the first 90 terms of the sequence -4,-1,2,5,8
telo118 [61]

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

S_{90} = \frac{90}{2} [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

4 0
3 years ago
A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed
SIZIF [17.4K]

Answer: Speed in miles per hour is 45 mph.

Step-by-step explanation:

Since we have given that

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Time taken to cover the above mentioned distance = 20 minutes

We need to calculate the speed in miles per hour ,

As we know the formula for " Speed " i.e.

Speed=\frac{Distance}{Time}

Now, we will put the value of distance and time in the above formula:

Speed=\frac{15}{20}\times 60\\\\Speed=15\times 3\\\\Speed=45\ mph

Hence, Speed in miles per hour is 45 mph.

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3 years ago
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What is the sum of 308, 622 and 381.
dalvyx [7]

Answer:

755

Step-by-step explanation:

The sum of 308+622+381=755

6 0
3 years ago
I don’t understand this question can you please help me ?.
Alinara [238K]

Answer:

Girl: YES = 12 ; NO = 38

Boy: YES = 29 ; NO = 21

Total: YES = 41 ; NO = 59

Step-by-step explanation:

hope this helps! :D

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2 years ago
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