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VikaD [51]
3 years ago
6

Keiko runs 8 miles in 59 minutes. how many miles does she run per minute?

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0
7.4 miles approximately
denis-greek [22]3 years ago
4 0

Answer:

7 Minutes  and 22.5 Seconds Per Mile

Step-by-step explanation:

58/8 = 7.375

Then you have to get the .375 into minutes.

0.375*60 = 22.5


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ANSWER ASAP |What is the measure of angle x?
Marina86 [1]

Answer:

x = 83°

Step-by-step explanation:

41, 56 and the missing angle = 180° ( form a straight angle )

missing angle = 180° - (41 + 56)° = 180° - 97° = 83°

The angle x and the missing angle are vertically opposite and congruent

Hence x = 83°

8 0
3 years ago
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3 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
Which words make this statement true?
yan [13]
-4 is Less than -3 is the answer
4 0
2 years ago
Someone plzzzz help me):
sergiy2304 [10]

C. x³-4x²-16x+24.

In order to solve this problem we have to use the product of the polynomials where  each monomial of the first polynomial is multiplied by all the monomials that form the second polynomial. Afterwards, the similar monomials are added or subtracted.

Multiply the polynomials (x-6)(x²+2x-4)

Multiply eac monomial of the first polynomial by all the monimials of the second polynomial:

(x)(x²)+x(2x)-(x)(4) - (6)(x²) - (6)(2x) - (6)(-4)

x³+2x²-4x -6x²-12x+24

Ordering the similar monomials:

x³+(2x²-6x²)+(-4x - 12x)+24

Getting as result:

x³-4x²-16x+24

3 0
3 years ago
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