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Nitella [24]
3 years ago
8

A ship leaves port at​ 1:00 pm and travels Upper N 70 degrees Upper WN70°W at the rate of 10 mph. Another ship leaves the same p

ort at​ 1:30 pm and travels Upper S 10 degrees Upper ES10°E at the rate of 8 mph. How far apart in miles are the ships at​ 3:00 pm​ ?

Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

30.4 miles

Step-by-step explanations:

Please refer to the attached image for explanations

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A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 ft and the height is 10 ft. What is the volume?
Alex17521 [72]

Answer:

Step-by-step explanation:

Since the pile of sand is conical, we would apply the formula for determining the volume of a cone which is expressed as

Volume = 1/3 × πr²h

Where

r represents the radius of the cone.

h represents the vertical height of the cone.

π is a constant whose value is 3.14

From the information given,

Diameter = 18 feet

Radius = Diameter/2 = 18/2

Radius = 9 feet

Height = 10 feet

Therefore,

Volume = 1/3 × 3.14 × 9² × 10

Volume = 1/3 × 3.14 × 81 × 10

Volume = 847.8 ft³

3 0
3 years ago
ANSWER ASAP! DUE TODAY
Anton [14]

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

6 0
3 years ago
Nina has $245 in 5-dollar bills and 10-dollar bills. She has ten more 5-dollar bills than 10-dollar bills. How many of each type
Oksana_A [137]

Answer:

Number of 5 dollar bills = 23

Number of 10 dollar bills = 13

Step-by-step explanation:

Let number of 5 dollar bills be x

and the number of 10 dollar bills be y

Total $245, means we can write:

5x + 10y = 245

Ten more 5 dollar bills than 10 dollar bills, means:

x - 10 = y

Now we substitute 2nd equation in first and solve for x:

5x + 10y = 245\\5x + 10(x-10) = 245\\5x+10x-100=245\\15x=345\\x=23

Also,

y = x - 10

y = 23 - 10 = 13

So there are 23 5-dollar bills and 13 10-dollar bills

6 0
3 years ago
Three waiters at a local restaurant earned different amounts of money the past week. Jennifer earned $40 less than twice the amo
Nataly_w [17]
Let x be the amount earned by Tony. With this representation, Jennifer earned 2x - 40 and Chris earned x + 60. The amounts they earned should sum up to 900. The equation is,
                                  x + (2x - 40) + (x + 60) = 900
The value of x is 220. Therefore, Tony earned $220. Jennifer and Chris earned $400 and $280, respectively. 
8 0
4 years ago
The Jordan family budgeted 16% of their disposable annual income of $44,000 for food, but found they needed $35 more per week. H
lina2011 [118]

Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,

\rm Amount\ Needed = \$35 \times 52 = \$1,820.00

Hence, the amount that is needed to be added to the income is $1,820.

Learn more about Multiplication:

brainly.com/question/14059007

#SPJ1

6 0
2 years ago
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