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zheka24 [161]
3 years ago
6

70.4 is what percent of 88?

Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

70.4 is 80% of 88

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the quadrilateral is qrst then it is a parallelogram because two side of the diagonals

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Solving these quadratics for x using complete the square 3x^2-4x-1=0
ZanzabumX [31]

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in picture

Step-by-step explanation:

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3 years ago
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The growth is decaying, the original value is 500 and the common multiplier is 5, 500 divided by 5 turns to 100. 100/5=20. 20/5=4. x/5 or 1/5 if it has to be in a fraction format
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3 years ago
How many ways are there for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each ot
pickupchik [31]

Answer: 5,760

Step-by-step explanation:

\\It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. \\Let D represent the dogs and C represent the Cat , then we have

\\D C D C D C D C D D   or

\\D  D C D C D C D C D  or

\\D C DD C D C D C D or

\\D C D C D D C D C D or

\\D C D C D C DD C D

\\Each of the arrangements above  could be done in

\\2 x 4! x 4!  ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's  , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )

\\= 2 x 24 x 24

\\ = 1 , 152

\\The total arrangement = 5 x 1 , 152

\\= 5,7 60 ways

3 0
3 years ago
Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places
lapo4ka [179]

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

5 0
2 years ago
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