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11111nata11111 [884]
3 years ago
15

Rewrite the decimal 47.4 as a mixed number

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

47 and 2/5

Step-by-step explanation:

Gennadij [26K]3 years ago
5 0

Answer: 47 and 4/10

Step-by-step explanation:convert 47.4 into a fraction by multiplying with 1/10

=474/10

divide 474 by 10 we get the quotient as 47 and remainder as 4

To write an improper fraction as a mixed number, divide the numerator (top part) by the denominator (bottom part). The quotient is the whole number, and the remainder is the numerator.

so we get 47 and 4/10

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Find an equation of the circle that has center (-1,2) and passes through (5,-4).
kherson [118]
General equation for a circle
(x - a)² + (y - b)² = r²
with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius

Determine r² by substituting the points into the general equation
(x - a)² + (y - b)² = r²
(5 - (-1))² + (-4 - 2)² = r²
(5 + 1)² + (-6)² = r²
6² + 36 = r²
36 + 36 = r²
72 = r²

Determine the equation of the circle
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 72
(x + 1)² + (y - 2)² = 72 (This is the equation of the circle)
8 0
2 years ago
When 15 is subtracted from 3 times a number the result is -32. what is the number?
Vilka [71]

Answer:

15.6

Step-by-step explanation:

15+32=47

47/3=15.6

since the - is there

it will be -15.6

5 0
3 years ago
Read 2 more answers
Find the values of x, y, and z. The diagram is not to scale.
rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

5 0
2 years ago
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 80 feet. How long will it take to
tekilochka [14]

Answer:

40.5 seconds

Step-by-step explanation:

5 0
2 years ago
Help pleasee 100 points 
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<span>
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3 years ago
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