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spin [16.1K]
2 years ago
6

Solve the proportion five point two over eight = y over six A. y = 4.22 B. y = 6.93 C. y = 2.86 D. y = 3.90

Mathematics
1 answer:
Alex Ar [27]2 years ago
8 0

Answer:

D.y = 3.9

Step-by-step explanation:

we can express the word problem five point two over eight = y over six mathematically;

\frac{5.2}{8} = \frac{y}{6}

our unknown is y, so we will keep rearranging the equation by using simple principles of algebra until we get y

cross multiply;

y×8 =5.2×6

y×8 =31.2

divide through by 8

y×8÷8 =31.2÷8

y=3.9

The correct answer is D

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Suppose a triangle has sides 3, 4, and 6. Which of the following must be true?
leonid [27]

Answer:

The answer would be B

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

8 0
1 year ago
Read 2 more answers
Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.
mr_godi [17]
The sequence:  a 1 = - 4,  a 2 = 8,  a 3 = -16,...
a 2 = a 1 * r
8 = - 4 * r
r = 8 : ( - 4 ) 
r = - 2
a n = a 1 * r^(n-1)
a 5 = - 4 * ( - 2 ) ^4 = - 4 * 16 = - 64
Answer:
The fifth term in the sequence is - 64. 
6 0
3 years ago
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The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.
Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

y = 2.89\sin(0.0145x-1.40) + 10.99.

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

days = 52

So:

x = 52

So, we have:

y = 2.89\sin(0.0145x-1.40) + 10.99.

y = 2.89\sin(0.0145*52-1.40) + 10.99.

y = 2.89\sin(0.754-1.40) + 10.99.

y = 2.89\sin(-0.646) + 10.99.

y = 2.89*-0.6020 + 10.99.

y = -1.740 + 10.99.

y = 9.25

<em></em>y = 9.3<em> --- approximated</em>

8 0
2 years ago
A 32 foot tall tree casts a shadow that is 48 feet long. How far away from the tree is a
sveticcg [70]

Answer:

39 feet

Step-by-step explanation:

take the tree as AB , the distance between the man and the tree as BC, the distance between the man and the tip of the shadow CD and the point intersecting the hypotenuse CE

since CE parallel to AB we can BPT

CE/AB = CD/BD

6/32= CD/48

CD = 9 feet

since CD is feet

BC is 48-9 = 39 feet

3 0
1 year ago
A circle has a diameter of 21 meters. What is the circumference of the circle? Use 22/7 for ∏.
bogdanovich [222]

Answer:

66

Step-by-step explanation:

The diameter of the circle is 21. The formula for circumference is pie*radius*2. We don't have the radius but the diameter is just double the radius so just don't multiply by 2. 21 x 22 = 462. 46s divided by 7 is 66. Enjoy your answer :D

3 0
2 years ago
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