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Vinil7 [7]
3 years ago
9

Simplify the expression. Write your answer using fractions in simplest form.

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

25g/4 - 2/3

Is what I got

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The volume of a large aquarium is 210 yd3. It is 2 2/5 yd wide and 2 4/5 yd high. What is the length of the aquarium ? It’s a qu
miss Akunina [59]

Length of the aquarium is 35 yd

Step-by-step explanation:

Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd

Length = Volume/Width × Height

= 210/3 × 2 = 210/6

= 35 yd

7 0
2 years ago
Just need to solve number 8 with quadratic formula
choli [55]
ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}

2x^2=8x-7\ \ \ \ |-8x\\\\2x^2-8x=-7\ \ \ |+7\\\\2x^2-8x+7=0\\\\a=2;\ b=-8;\ c=7\\\\b^2-4ac=(-8)^2-4\cdot2\cdot7=64-56=8\\\\\sqrt{b^2-4ac}=\sqrt8=\sqrt{4\cdot2}=2\sqrt2
x_1=\dfrac{-(-8)-2\sqrt2}{2\cdot2}=\dfrac{4-\sqrt2}{2}\\\\x_2=\dfrac{-(-8)+2\sqrt2}{2\cdot2}=\dfrac{4+\sqrt2}{2}

7 0
3 years ago
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
sergiy2304 [10]

Given:

In triangle ABC, AC=13, BC=84, AB=85.

To find:

The measure of angle C.

Solution:

Law of Cosines:

\cos C=\dfrac{a^2+b^2-c^2}{2ab}

\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}

Substituting the given values, we get

\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}

\cos C=\dfrac{7056+169-7225}{2184}

\cos C=\dfrac{0}{2184}

\cos C=0

Taking cos inverse on both sides, we get

C=\cos^{-1}(0)

C=90^\circ

Therefore, the measure of angle C is 90 degrees.

4 0
3 years ago
What is 10/12 + 1/2 do not give stupid answers I already know the answer so I'm watching
zlopas [31]
10/12 + 1/2 : 16/12 : 1 and 4/12.
3 0
3 years ago
The area of the circular base of a cylinder is 36 square units. The height is 2
olya-2409 [2.1K]

Answer:

24 π

Step-by-step explanation:

First step is to determine the radius of the base.  We have the area, so we can easily determine the radius.  The base is a circle, and the area of a circle is given by A = π * r² , so r² = A / π

r² = (36 π) / π = 36

So, r = 6

The lateral surface of a cylinder is given by the following:

L = 2* π * r * 2

Now that we have r, we can easily calculate it:

L = 2 * π * 6 * 2 = 24π, second choice listed

8 0
3 years ago
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