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vlada-n [284]
3 years ago
14

The standard equation of a circle with center (h.k) and radius r is (% - hy * (y - Ky = p. Which

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

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*****50 POINTSSSS*****
defon

Answer:

<h3>Given</h3>
  • m∠REG = 78°
  • mAR = 46°
  • ER ≅ GA
<h3>Solution</h3>
  • m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
  • m∠TAR = 1/2mAR = 1/2(46°) = 23°   (tangent chord angle is half the size of intercepted arc)
  • m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
  • mAG = 2m∠GAN = 2(55°) = 110°
  • mRE = mAG = 110° (as ER ≅ GA)
  • mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)
6 0
2 years ago
A furniture store can spend no more than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of clo
11Alexandr11 [23.1K]

Answer:

The bottom one to the right. It only reaches 1000 and no higher

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Shawna found coins worth $4.32. One- fourth of the found coins are pennies and one- sixth are quarters. The number of nickels fo
eduard

Answer:

8 quarters

12 nickels

12 pennies

16 dimes

Step-by-step explanation:

The trick is to ASSUME the dimes.

Start by thinking about the three explicit premises and the one implicit premise.

1) Quarters = 1/6 of total coins

2) Nickels = 1.5 the number of quarters

3) Pennies = 1/4 of total coins

Also, ASSUME an unknown number of dimes to fill in the gap.

48 Total Coins = $4.32

⅙ of 48 = 8 8 quarters = $2.00

1.5 x 8 = 12 12 nickels = $0.60

¼ of 48 = 12 12 pennies = $0.12

Add those coins = $2.72

Take the known total and minus this sum.

$4.32 - $2.72 = $1.60

16 dimes = $1.60

Thus, you have the following:

8 quarters (⅙ of total coins)   $2.00

12 nickels (1.5 the number of quarters) $0.60

12 pennies (¼ the number of total coins) $0.12    

+ 16 dimes     $1.60

Total Coins 48      $4.32

8 0
3 years ago
Find the volume of the cone.
8_murik_8 [283]

Answer:

V=471\ \text{units}^3

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

V=\pi r^2 h

Substitute all the values,

V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3

So, the volume of the cone is 471\ \text{units}^3.

4 0
2 years ago
The sum of a number w and 3 is less than or equal to ten.
Assoli18 [71]
W + 3 ≤ 10

This is the symbol for less than or equal ≤

w + 3 ≤ 10

w ≤ 10 - 3

w ≤ 7

Can't find an answer for w from the options. 
7 0
3 years ago
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