1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksklad [387]
3 years ago
5

recall the equation for a circle with center (h,k) and radius r At what point in the first quadrant does the line with equation

y=0.5x+4 intersect the circle with radius 4 and center (0,4)
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

9514 1404 393

Answer:

  ≈ (3.578, 5.789)

Step-by-step explanation:

We can substitute for y and solve for x.

  (x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r

  x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle

  x^2 +((0.5x +4) -4)^2 = 16

  (5/4)x^2 = 16

  x = 8/5√5 . . . . multiply by 4/5 and take the square root

  y = 0.5x +4

  y = 4/5√5 +4

The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).

You might be interested in
Mr. and Mrs. McClurrie are debating on whether or not to remove a tall tree in their front yard. Mr. McClurrie is concerned that
hichkok12 [17]
Tanα=y/x

y=xtanα, we are told that x=25ft and α=30°

y=25tan30° ft

y≈14.43 ft  (to nearest hundredth of a foot)

Since their home is 20 feet from the base of the tree, it poses no risk right now. 
4 0
3 years ago
A weaver bought a bundle of grass of 50.00 dollars from which he made 8 mats if each mats was sold for 15.00 dollars find the pe
faust18 [17]

The percentage profit is 140%

What is percentage?

Percentage can be described as the expression of a number in hundredth.

The formula for calculating percentage profit is

profit/cost price × 100

cost price=  $50
selling price= $15
number of mats produced= 8

selling price of the mat= 15 × 8
= 120

Profit= selling price-cost price

= 120-50
$70

Therefore the percentage profit can be calculated as follows

= 70/50 × 100
= 1.4 ×100
= 140

Thus, the percentage profit is 140%

#SPJ1

Please see the link below for more information
brainly.com/question/27867428

5 0
2 years ago
ocabulary What operations have inverse relationships? Select all that apply. A. Addition and subtraction B. Addition and multipl
marin [14]

Answer:

it can be a or d

Step-by-step explanation:

8 0
3 years ago
How do you solve this question and what’s the answer
shutvik [7]

Answer:

7.74 square cm

Step-by-step explanation:

To find the leftovers, calculate the area of the square and the area of the circle. Then subtract the two.

Square: A = s*s = 6*6 = 36

Circle: A = \pi r^2\\A = \pi 3^2\\A = 9 \pi\\A= 28.26

The area leftover is A = 36 - 28.26 = 7.74

4 0
3 years ago
1.1
solniwko [45]

Answer:

Cost = 112.266 cent/km

Step-by-step explanation:

Given

Unit\ cost = R17.82/litre

Rate = 6.3litre/100km

Required

The fuel cost in cent\ per\ km

This is calculated using:

Cost = Unit\ cost * Rate

Cost = R17.82/litre * 6.3litre/100km

Cost = R17.82 * 6.3/100km

Cost = R1.12266/km

Multiply by 100 to get the cost in cents

Cost = 1.12266 * 100 cent/km

Cost = 112.266 cent/km

6 0
2 years ago
Other questions:
  • Eight paper clips cost 12. cents.How much does 6 paper clips cost?
    5·1 answer
  • In order to start a small​ business, a student takes out a simple interest loan for ​$3000.00 for 3 months at a rate of 11.25​%.
    7·1 answer
  • It’s a Quiz and I Have a time limit.
    9·1 answer
  • Is this correct ? If not please tell me the answer, Explain as well.
    11·2 answers
  • Antonia buys a 5-pound bag of onions at the store for $2.65. To the nearest cent, how much did she pay for 1 pound of onions?
    11·2 answers
  • Which of the following is a multiple of 4
    10·2 answers
  • The ________ of two events X and Y is another event that consists of the sample space outcomes belonging to either event X or ev
    13·1 answer
  • Jose pays $60 for 12months of cable how much does he pay per months<br>​
    7·2 answers
  • Please help!<br><br>if rstu is a rhombus, find m&lt;uts ​
    11·1 answer
  • 1. Which of the following statements is NOT a property of parallelograms?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!