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3 years ago

Find K if K divided by 64 equals 4

Mathematics

2 answers:

MrRa [10]3 years ago

8 0

The answer is k= 256

pshichka [43]3 years ago

4 0

Solve:

$\frac{k}{64}=4$

We need to isolate k, so multiply both sides by the denominator, which is 64. When we do that, the fraction will cancel and we get:

$k=256$

If you want to check, plug in your answer to the original equation and see if it is true:

$\frac{256}{64}=4$

$4=4$

This statement is true, so $k=256$ .

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Do problem 5 show work i will mark brainliest!!!!!

Fittoniya [83]

Answer:

Step-by-step explanation:

The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is

30 m + 40 m = 70 m

Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

Let the legs of the right triangle be a and b. Let the hypotenuse be c.

(30 m)^2 + (40 m)^2 = c^2

900 m^2 + 1600 m^2 = c^2

c^2 = 2500 m^2

Take the square root of each side.

c = 50 m

The direct path from the school to the house is 50 m.

Difference: 70 m - 50 m = 20 m

Answer: You save 20 m.

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3 years ago

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Please dont steal I just need a bit of help here I would really appreciate it I will give brainless

Ksenya-84 [330]

Answer:

Step-by-step explanation:

I gave you the answer earlier too!

for more info !

<h2>there s a theorem called MIDPOINT THEOREM </h2>

Which means the 3rd side of the triangle is equal to 1/2 of the line drawn by joining the mid points

which means

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3 years ago

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

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3 years ago

Principal, $3000; Annual interest rate, 5.5%; tome, 2 years <br> The balance after 2 years is ?

Kisachek [45]

Answer:

simple interest: $3330

compound interest: $6339.08

Step-by-step explanation:

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3 years ago