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adelina 88 [10]
2 years ago
12

What is an equation of a circle whose center is (1,4) and diameter is 10?

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Answer:

x^{2}  - 2x + y^{2} - 8y = 8

Step-by-step explanation:

Standard form for a circle is:

(x - h)^{2} + (y - k)^{2}  = r^{2}      (h, k) is the center    r is the radius

(x - 1)^{2} + (y - 4)^{2}  = 5^{2} \\x^{2}  - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2}  - 2x + y^{2} - 8y = 8x^{2}  - 2x + y^{2} - 8y = 8

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A country will produce 3000 missiles this year. Each of the short-range missiles cost $200000 to produce. Each of the medium-ran
Lynna [10]

Answer:

$350,000

Step-by-step explanation:

Let's define:

  • s: amount of short-range missiles produced
  • m: amount of medium-range missiles produced
  • l: amount of long-range missiles produced

From the total production and the ratios we can write the following equations:

s + m + l = 3000

s/m = 3/3 = 1 = m/s

s/l = 3/4 or l/s = 4/3

Dividing the first equation by s, we get:

s/s + m/s + l/s = 3000/s

1 + 1 + 4/3 = 3000/s

10/3 = 3000/s

s = 3000*3/10 = 900

m = 900

l =  4/3*900 = 1200

From the money that the countries plans to use and each missile cost, we can write the following equation:

200,000*s + 300,000*m + cost*l = 870,000,000

Replacing with previous result:

200,000*900 + 300,000*900 + cost*1200 = 870,000,000

cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000

3 0
2 years ago
Engineers must design a process for producing ammonia in amounts large enough to ensure a reasonable profit. Which criterion wou
ki77a [65]

The process needs to meet the following criterion:The process must make large amounts of product at a low cost. That is option A.

<h3>What is ammonia?</h3>

Ammonia is defined as a gas compound that is made up of nitrogen and oxygen in the ratio of 1:3 respectively.

The industrial and modern method constructed by Engineers for ammonia production is called steam reforming.

The natural resources used for industrial production of ammonia can be gotten from natural gas such as methane.

To make profit, natural products are used which costs less to acquire but will lead to the production of large ammonia quantity.

Learn more about ammonia here:

brainly.com/question/14445062

#SPJ1

5 0
2 years ago
Which number is less than 22,874?
monitta

Answer:

A. 2.18 × 10^4

Step-by-step explanation:

2.18 × 10^4

10^4 = 10000

2.18 × 10000 = 21800 which is less than 22874

3 0
2 years ago
Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?
Contact [7]

For each coin, there are <u>2 outcomes</u>, heads (H) or tails (T), so for the <u>3 coins</u>, the number of outcomes are:

2 x 2 x 2 = <u>8 outcomes:</u>

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are <u>3 ways</u>, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0
2 years ago
Can you help me? please
frez [133]

Answer:

The answer is B. 600

Step-by-step explanation:

Hope that helps!

5 0
2 years ago
Read 2 more answers
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