Simplify the expression. t+2+6t

Mathematics

1 answer:

vichka [17]2 years ago

4 0

Answer:

2t + 8

Step-by-step explanation:

add the like terms.

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The triangles below are similar. <br><br> Which statement about the triangles is true?

Stells [14]

In pretty sure it is F

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3 years ago

What is total 14.56 plus tip 15% plus tax7%.

Alexandra [31]

Hi,
The total amount is 17.91608
How I got my answer:
100 + tip%/100 * 14.56 = amount with tips
100 + 15/100 * 14.56
115/100 * 14.56
1.15 * 14.56 = 16.744
100 + tax%/100 * amount with tips = total amount
100 + 7/100 * 16.744 = total amount
107/100 * 16.744
1.07 * 16.744
17.91608 = total amount
Hope this Helps you.

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3 years ago

The factory produces 4 gallons of orange juice for every 24 gallons of apple juice but is use this ratio to answer the question

kkurt [141]

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Step-by-step explanation:

8 0

3 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$