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3 years ago

10

Mohammed and Sultan are standing 15 meters apart on a straight road, both of them are sighting a gate of a building with angle 5

5° and 75° respectively. How far Mohammed is from the gate assuming both stand in opposite direction

1 answer:

Nat2105 [25]3 years ago

5 0

Answer: 19 m

Step-by-step explanation: Law of sines

sin(180 - 55 - 75)/15 = sin75/x

x = 15sin75/sin50 = 18.9138... ≈ 19 m

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A card is selected at random from an ordinary deck of 52 cards. What is the probability that it is either an ace or a spade

tamaranim1 [39]

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

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2 years ago

Solve the following equation algebraically:

Gre4nikov [31]

Answer:

$\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }$

Step-by-step explanation:

Hello

let's assume that we are looking for x >=0

$4x^2=100 \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\\sqrt{x^2}=25\\ |x| = 5 x = 5 \ or \ x=-5$

Let's assume that we are looking for x>=0

so the correct answer is 5

8 0

3 years ago

You manage a call center that processes orders. One measure of efficiency in your department is the time spent on each call. You

siniylev [52]

Answer:

The answer is option A.

Step-by-step explanation:

If the report is made once a month, the daily variations (including the tendency to decrease efficiency on Friday) will be masked within the monthly result.

It would only generate an ethical problem in the case that Fridays fall in different samples, but in the case of the monthly report there are usually 4 or 5 Fridays included in each sample.

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3 years ago

At one point in a Girl Scout cookie sales drive, region C had sold 1500 boxes of cookies, and region D had sold 1200 boxes of co

juin [17]

Answer:

a)After 6 days region D will catch region C

b) Region C will sell 13500 cookies and region D will sell 13600 cookies

Step-by-step explanation:

a) Cookies sold by region C more than region D= 1500-1200=300

But region D can sells 50 cookies every day i-e

50 cookies = 1 day

==> 1 cookie= 1÷50

==> 300cookies = 300÷50=6 days

So, after 6 days region D will catch up region C's

b) If sale stopped after 8 days;

Then sale of region C for 8 days = 1500×8=12000 cookies

so , total cookies sold = 1500 +12000=13500

For region D;

Before catching up region C cookies sold by region D = 1200

Till catching up region C - region D had also sold 1500 cookies,

and for 50 extra cookies than region C

next 8 days region D will sale =(1500+50)×8=1550×8=12400 cookies

So, total number of cookies sold by region D = 1200+12400=13600

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3 years ago

The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need

galben [10]

Answer:

The measurement of angle H is 58°

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3 years ago

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