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3 years ago

Complete the following statement. A fraction in lowest terms is in its __________________________________

Mathematics

1 answer:

pantera1 [17]3 years ago

7 0

Answer:

Reduced form

Step-by-step explanation:

Hope this helps!

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The sophomore class sold a total of 700 adult and student tickets to the school play. Adult tickets sold for $4.50 each and stud

sergiy2304 [10]

The answer is 
B: x+y=700
2x+4.5y=1200


x - the number of student tickets sold,
y - the number of adult tickets sold

The total number of sold tickets is 700:
x + y = 700

Adult tickets sold for $4.50 each and student tickets cost $2.oo each. If they took in a total of $1,200:
2x + 4.50y = 1200

The system of equations is:
x + y = 700
2x + 4.50y = 1200

3 0

3 years ago

Read 2 more answers

Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.

SOVA2 [1]

Answer:

23.92°, 78.503°, and 77.577°

Step-by-step explanation:

The coordinates of the vertices of the triangle are;

X(-3, -5), Y(2, 6), Z(6, 3)

The vectors are;

z = $\left \langle 2 - (-3), 6 - (-5) \right \rangle$ = $\left \langle 5, 11 \right \rangle$

y = $\left \langle 6 - (-3), 3 - (-5) \right \rangle$ = $\left \langle 9, 8 \right \rangle$

x = $\left \langle 2 - 6, 6 - 3 \right \rangle$ = $\left \langle -4, 3 \right \rangle$

$cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}$

Therefore, we get;

$cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409$

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

-y = $\left \langle -9, -8 \right \rangle$

We get;

$cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}$

Therefore;

$cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309$

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

The interior angles are;

23.92°, 78.503°, and 77.577°

4 0

3 years ago

Is this Linear, Exponential, or Quadratic? How do you know? A penny is dropped from the edge of a cliff straight down. The relat

Alchen [17]

Answer:

it is linear

Step-by-step explanation:

now this is a case of a an object falling under gravity so gravity is constant which means that the velocity is increased at a constant rate and therefore the graph is going to be linear

that is a straight line graph I hope you get the point

the velocity is going to be increasing constantly with time

7 0

3 years ago

Convert 26\%26%26, percent to a fraction in simplest form.

Korolek [52]

26 percent?

A percent is a fraction out of a hundred. 5% is 5 out of one hundred, 20% is 20 out of one hundred, etc.

So 26/100 simplified is 13/50.

6 0

3 years ago

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas

Katena32 [7]

Answer:

Step-by-step explanation:

curved surface area is 2πrh, so 2*π*7*15.

7*15*2=210.

210*π=659.734

3 0

3 years ago