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3 years ago

I need help with this question

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Ratio: 3/4 : 1/2

We can also write this as:

3/4 / 1/2

Flip the 2nd fraction and multiply:

3/4 * 2/1

Multiply the numerators and denominators together:

6/4

Simplify:

3/2

Marat540 [252]3 years ago

5 0

The first step in answering this is making the fractions have a common denominator.
The LCD for (3/4) and (1/2) is four.
Since 3/4 already has the denominator, you just need to change 1/2 by multiplying the top and the bottom of the fraction by two.
This gives you (3/4) and (2/4).
Now, you can compare the numerators in this ratio
Numerator of the length/Numerator of the width. This gives you (3/2)
The answer to the question is C, (3/2)

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Erik's disabled sailboat is floating stationary 3 miles east and 2 miles north of Kingston. A ferry leaves Kingston heading towa

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Let's suppose that Ballard is an origin with coordinates (0;0)

Ballard is 8 miles south and 1 mile west of Edmonds ⇒ Edmonds is 1 mile east and 8 miles north of Ballard.

Thus, coordinates of Edmonds (0+1; 0+8) (1;8)

Edmonds is 6 miles due east of Kingston. So, is 6 miles due of Edmonds

Thus, Kingston coordinates (1-6;8) (-5:8)

Sailboat is 3 miles east and 2 miles north of kingston

So, coordinates of sailboat are (-5+3; 8+2) (-2;10)

Ferry leaves Kingston towards Edmonds at mph and Edmonds is 6 miles due east of Kingston.

Initial ferry coordinates as calculated above are equal to Kingston coordinates (-5;8)

After 20 minutes the ferry turns to south.

This distance travelled (20min) is d=9mph*20/60h=3 miles

So, ferry travelled 3 miles toward east in 20 min

Then, coordinates became (-5+3;8+0) (-2;8)

Thus, we have a line connecting two points (-5;8) and (-2;8)

Line connecting them has an equation:

y-8 = (8-8)/(-2+5) * (x+5)

y-8=0

y=8 - This is the equation for the first 20 minutes of travel

Then, ferry turns due south (-2;8) and has a vertiacl line

The equation of verical line is x=a, so the equation will be x=2

b) The sailboat has a radar scope that will detect any object within 3 miles of the sailboat.

region looks like a circular disc with a center (-2;10)

(x+2)^2+(y-10)^2=3^2

(x+2)^2+(y-10)^2 <9 (interior of the circular disc)

(x+2)^2+(y-10)^2 >9 (exterior)

The equation of the line joining the Kingston and Edmonds is y=8

the point of intersection:

(x+2)^2+(8-10)^2=9

(x+2)^2=5

x is approximately 0.24; -4.24

(0.24;8) (-4.24;8) - intersection points

c) The ferry exits the radar during the trid due south long x=-2

The points of intersection of the circle and the line x=-2:

(-2+2)^2+(y-10)^2=9

0+(y-10)^2=0

y is 7.13

(-2;7)

d) Takes south turn at (-2;8), then ferry travels 0.8 miles up to point (-2;7) where it exists the radar zone

Speed is 9mph

The time taken to cover 1 mile = t=1/9hr=1/9 *60=6.667min

So, it exists after 6.67 minutes

e) Ferry enters at (-4.24;8) and takes turn due to south at (-2;8)

The distance travelled is = [-4.24+2]=2.24 miles

The time taken to cover these miles is = t=2.24/9 *60=14.93 min

After turning to south ferry remains in radar for 6.7 min

So, it remains in radar zone for 14.93+6.7=21.63min

8 0

2 years ago

What is the greatest prime you must consider to test whether 2114 is prime?

IceJOKER [234]

Answer:

2114 is not a prime number because you can divide to 7. Prime number mean is the prime number is the number that can be divided by the number it self

4 0

3 years ago

Mrs. Linden bought 1.25 pounds of dried fruit and o.5 pound of cereal. If Mrs. Linden paid for her items with 5.00 how much chan

Grace [21]

Answer:

£3.25

Step-by-step explanation:

You would add £1.25 and £00.50 which is £1.75 then you would do £5.00-£1.75 which is £3.25

5 0

3 years ago

PLS HURRY

Aneli [31]

Given:

The table of values.

Hours (h) Dollars (d)

1 42

2 84

3 126

4 168

5 ?

To find:

The correct statements about the table.

Solution:

From the given table it is clear that,

$1\times 42=42$

$2\times 42=84$

$3\times 42=126$

$4\times 42=168$

This pattern can be defined as

$h\times 42=d$

Multiply h by 42 to get d. So, option A is correct.

Using this pattern, we get

$5\times 42=210$

The missing value in the last row is 210. So, option D is correct.

From the given table it is clear that the rate of change is $42 per hour because dollar is increasing by 42 in every hour.

A real-world situation that is represented in the table is “Richard is a video game designer and earns $42 per hour.”

Therefore, the option E is correct.

3 0

2 years ago

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Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

AnnZ [28]

Answer:

$MK\approx 87.7$

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for $MK$ :

$\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}$

3 0

3 years ago

Read 2 more answers