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ratelena [41]
3 years ago
5

What is fifteen percent of twenty

Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer: 3

Step-by-step explanation: 20% × 15 =

(20 ÷ 100) × 15 =

(20 × 15) ÷ 100 =

300 ÷ 100 =

3

- hope this helps

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Find the value of a.
Nezavi [6.7K]

The value of a is (c) 86

<h3>How to solve for a?</h3>

The given parameter is:

Angle C = 86

By vertical angle theorem, we have:

Angle A = Angle C = 86

This implies that:

Angle A = 86

The arc A subtends angle A

This means that:

Arc A = 86

Hence, the value of a is (c) 86

Read more about angles at:

brainly.com/question/24839702

#SPJ1

7 0
2 years ago
A new toy hits the local store. Sales (in hundreds) increase at a steady rate for several months, then decrease at about the sam
Montano1993 [528]

Answer:

Option A.

Step-by-step explanation:

It is given that, sales (in hundreds) for several months can be modeled by the function:

S(m)=-0.625|m-8|+5

We need to find the month in which 400 toys were sold.

Substitute S(m)=4 in the given function.

4=-0.625|m-8|+5

4-5=-0.625|m-8|

-1=-0.625|m-8|

\dfrac{-1}{-0.625}=|m-8|

1.6=|m-8|

Now,

\pm 1.6=m-8

1.6=m-8 or -1.6=m-8

1.6+8=m or -1.6+8=m

9.6=m or 6.4=m

Approx the value to the next whole number.

m\approx 10 or m\approx 7

It means, 400 toys were sold on 7th and 10th month.

Therefore, the correct option is A.

5 0
3 years ago
Find the reciprocal for each fraction below.
kifflom [539]

Answer:

0.8

Step-by-step explanation:

6 0
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)

a)

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
Matrix fractions 1/2+2/6. I don't understand the steps in this.​
Effectus [21]

Answer: 5/6

Step-by-step explanation:

You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.

5 0
2 years ago
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