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almond37 [142]
2 years ago
15

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground, how far is John from the base of the tower? Round your answer to the nearest tenth.
Mathematics
2 answers:
Artemon [7]2 years ago
6 0
I would say 25.50 meters. Hope this helps!
OlgaM077 [116]2 years ago
3 0

The answer is D. 18.8 meters

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A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he
Sunny_sXe [5.5K]

Answer:

He pays to the cab driver for 25 miles.

Step-by-step explanation:

Consider the provided information.

Let us consider he walks x miles at the rate of 4 miles per hour.

As we know Time=\frac{Distance}{Speed}

Therefore, time taken is: Time=\frac{x}{4}

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is: Time=\frac{31-x}{50}

It took 2 hours after he started.

That means the sum of time take is 2 hours.

\frac{x}{4}+\frac{31-x}{50}=2

\frac{25x+62-2x}{100}= 2

23x+62= 200

23x= 138

x= 6

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.

5 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

                          =12\times0.4412\\=5.2944\\\approx5

Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
How many 1/2 cup servings are there in 7/8 cup of peanut butter
Semmy [17]
You must be Divide with fractions.

7/8/1/2 then flip with 1/2 to 2/1 and multiply.

And the answer is 1 and 3/4

4 0
2 years ago
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram. Chocolat
katen-ka-za [31]

5x + 3x = 40

8x = 40

x = 5

3 x 5 = 15 oatmeal cookies

8 0
2 years ago
Read 2 more answers
Sophie could $330 in a savings account at a simple interest rate of 4% per year. Avi put $290 in a savings account at a simple i
worty [1.4K]
Sophie would’ve earned more
She would’ve earned $37 more

Calculations:
Sophie:
$330(1+4%*2)
=$356
Simple interest: $356-$330
=$26

Avi:
$290(1+5%*2)
=$319
Simply interest: $319-$290
=$29

$29-$26
=$3
8 0
2 years ago
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