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goldenfox [79]
3 years ago
11

Four students spent time volunteering last weekend. The table shows how much time each student spent volunteering.

Mathematics
1 answer:
defon3 years ago
7 0
I found a similar problem. This is its table:
Volunteering
Student                 Time(hours)
Amy                              4 5/6
Beth                             6 1/2
Victor                           5 3/4
Cal                                5 2/3

Match each pair of students with the difference between how much time they spent volunteering.

Amy and Victor : 11/12 HOURS
Amy: 4 5/6 → 29/6 ; Victor: 5 3/4 → 23/4
29/6 - 23/4 = 29/6(2/2) - 23/4(3/3) = 58/12 - 69/12 = -11/12  

Cal and Beth : 5/6 HOURS
Cal : 5 2/3 → 17/3 ; Beth: 6 1/2 → 13/2
17/3 - 13/2 = 17/3(2/2) - 13/2(3/3) = 34/6 - 39/6 = -5/6

Beth and Victor : 3/4 HOURS
Beth: 6 1/2 → 13/2 ; Victor: 5 3/4 → 23/4
13/2 - 23/4 = 13/2(2/2) - 23/4(1/1) = 26/4 - 23/4 = 3/4 

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the function 9-4x^2 only has one x with an exponent of two making it even
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3 0
3 years ago
If cos (50 degrees) = a, express tan (130 degrees) in terms of a.
Paladinen [302]

Answer: The tan 130° is expressed as \dfrac{\sqrt{1-a^2}}{a}

Step-by-step explanation:

Since we have given that

\cos 50^\circ=a

As we know that

cos (π - θ ) = -cos θ

so, cos(180-50)=-cos 130° = -a

so, sin 130° would become

\sqrt{1-(-a)^2}\\\\=\sqrt{1-a^2}

So, tan 130° is given by

\dfrac{\sin 130^\circ}{\cos 130^\circ}\\\\=\dfrac{\sqrt{1-a^2}}{a}

Hence, the tan 130° is expressed as \dfrac{\sqrt{1-a^2}}{a}

3 0
3 years ago
Write the equation of a circle with a center at (1,4) where a point on the circle is (4,8).
STALIN [3.7K]

Answer:

(x - 1)² + (y - 4)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (1, 4), so

(x - 1)² + (y - 4)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)

r = \sqrt{(4-1)^2+(8-4)^2}

  = \sqrt{3^2+4^2} = \sqrt{9+16} = \sqrt{25} = 5

Hence

(x - 1)² + (y - 4)² = 5², that is

(x - 1)² + (y - 4)² = 25 ← equation of circle

6 0
3 years ago
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