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Naya [18.7K]
3 years ago
6

Which of the following shows 2.684 rounded to the nearest hundredth

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

The answer would be A

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Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph
mafiozo [28]

At 10 am, Car A is at 30 miles.

Then at 11 am, Car A is at 60 miles and Car B is at 40 miles

At 12 am, Car A is at 90 miles and Car B is at 80 miles

At 1 pm, Car A and B are tied for 120 miles

The very second after Car B passes Car A

Answer: 1:01 pm Car B Passes Car A

5 0
3 years ago
What is the surface area of this figure?
disa [49]

Answer:

72 sq. mi

Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

7 0
3 years ago
Read 2 more answers
A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2
Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.                  

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?    

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is \frac{1}{20000}

Probability of getting second prize is \frac{2}{20000}

Probability of getting third prize is \frac{20}{20000}

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each.

So, The value of prizes is

\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10

If 20000 tickets are sold at 25 cents each i.e. $0.25.

Remaining tickets = 20000-1-2-20=19977

Probability of getting remaining tickets is \frac{19977}{20000}

The expected value is

E=\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10-\frac{19977}{20000}\times 0.25

E=\frac{1000+600+200-4994.25}{20000}

E=\frac{-3194.25}{20000}

E=-0.159

Therefore, The expected winnings for a person buying 1 ticket is -0.2.

3 0
3 years ago
For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 st
jasenka [17]
72 divided by 9 equals 8
72/9=8
8 0
3 years ago
Find the missing side or angle.<br> Round to the nearest tenth.
BartSMP [9]

Answer:

b = 2.7

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: \frac{a}{sin(A} = \frac{b}{sin(B}

Plug in the values into the formula

\frac{2}{sin(47} = \frac{b}{sin(80}

Cross multiply

2*sin(80) = b*sin(47)

Divide both sides by sin(47) to make b the subject of formula

\frac{2*sin(80)}{sin(47} = b

2.69 = b

b = 2.7 (nearest tenth)

8 0
3 years ago
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