Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.

Answers

Answer 1

Answer:

$\sqrt3\n2\sqrt2\n5\sqrt8=5√(4\cdot2)=5\sqrt4\cdot\sqrt2=5(2)\sqrt2=10\sqrt2\n√(18)=√(9\cdot2)=\sqrt9\cdot\sqrt2=3\sqrt2\n\n\sqrt3\cdot2\sqrt2\cdot5\sqrt8\cdot√(18)=\sqrt3\cdot2\sqrt2\cdot10\sqrt2\cdot3\sqrt2\n\n=(2\cdot10\cdot3)(\sqrt3\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2)=60√(3\cdot2)\cdot√(2\cdot2)\n\n=60\sqrt6\cdot\sqrt4=60\sqrt6\cdot2=(60\cdot2)(\sqrt6)\n\n=\boxed{120\sqrt6}$

Answer 2

Answer:

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * 3√2

so as we calculate it, 2 * 2* 5 * 2 * 3 = 120 and √2 * √3 = 6

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Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pieces. What is the length of each piece

Answers

Answer:

7/50 meter.

Step-by-step explanation:

He has 7/8 meter. 1/5 of the piece of string is

$(7)/(8)(1)/(5) = (7)/(40)$ .

Then, he uses 7/40 meter to tie a package. The rest of string will be

$(7)/(8)-(7)/(40) = (7)/(10)$ .

Then, the rest of string after he uses 1/5 is 7/10. Finally, he cuts the rest into 5 equal pieces, that is

$(7)/(10)(1)/(5) = (7)/(50)$ .

Then, the lenght of each piece is 7/50 meter.

First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.

1/5 × 7/8 = 7/40

Now we have to subtract this from the original amount...

7/8 - 7/40 =
35/40 - 7/40 =
28/40 = 14/20 = 7/10

Now we divide this remaining string by 5 to find the length of the individual pieces...

7/10 ÷ 5 =
7/10 × 1/5 =

7/50 meter

Eight friends share 2 pizzas equally. How much pizza does each friend get

Answers

It depends on how much slices you split it into if it is the traditional 8 then there is 16 slices and 8 people divide each by 8 to get every person gets 2. Hope this helps.

It depends on how many slices the pizzas are cut into. Usually a pizza is cut into 8 slices. If there are 8 friends and 16 slices that means each friend gets 2 peices.

What is the product (3x-6)(2x2-7x+1)

Answers

Answer:

$\large\boxed{6x^3-33x^2+45x-6}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\n\n(3x-6)(2x^2-7x+1)\n\n=(3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)\n\n=6x^3-21x^2+3x-12x^2+42x-6\qquad\text{combine like terms}\n\n=6x^3+(-21x^2-12x^2)+(3x+42x)-6\n\n=6x^3-33x^2+45x-6$

In the figure ABC and XBY are isosceles triangles. AC=6 cm. And XY=4 cm. Find the area of the shaded region.

Answers

Area of the triangle is expressed by the product of the base and the height divided by two. This is from the idea that a parallelogram having an area of length times width can be divided yielding to two triangles.

Area of shaded region = Area of triangle ABC - Area of triangle XBY
Area of triangle ABC = (6) (6) / 2 = 18 cm^2
Area of triangle XBY = (4) (4) / 2 = 8 cm^2
Area of shaded region = 18 - 8 = 10 cm^2

Wes has a piece of land with side lengths of 36.2 m, 41.6 m, 39.4 m, and 31.2 m. He also has 150 m of tape to mark the boundaries of the land. After Wes marks the land, how much tape will he have left over?

Answers

add up all of the side lengths and you get 148.4 as the perimeter.

subtract that from 150 and you're left with 1.6 m left of tape

Answer:

1.6m of rope

Step-by-step explanation:

Add up all the sides then subtract that from 150

Is there more flour than blueberries in the recipe

Answers

Answer:

Yes. You didn't give us a question lol. So sorry that I couldn't help

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