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3 years ago

Which expressions are listed in the simplest form ? Check all that apply

2 answers:

3 0

$5\sqrt{3b}\qquad\boxed{YES}\\\\2\sqrt{21}\qquad\boxed{YES}\\\\x\sqrt8=x\sqrt{4\cdot2}=x\sqrt4\cdot\sqrt2=2x\sqrt2\qquad\boxed{NOT}\\\\2\sqrt{36}=2\cdot6=12\qquad\boxed{NOT}\\\\\sqrt5\qquad\boxed{YES}\\\\c\sqrt{12c^2}=c\sqrt{4\cdot3\cdot c^2}=c\sqrt4\cdot\sqrt3\cdot\sqrt{c^2}=c\cdot2\cdot\sqrt3\cdot|c|=2c|c|\sqrt3\qquad\boxed{NOT}$

Katyanochek1 [597]3 years ago

3 0

Answer:A B E

Step-by-step explanation:

You might be interested in

Subtract using a number line -4 - (8)

Mashcka [7]

Answer:

Look at the number line.

Step-by-step explanation:

Step 1: Draw a number line.

Step 2: Mark -4 on the number line.

Step 3: Here we have to subtract 8, therefore, from -4 move 8 units left, we end up at -12.

That is the answer. Here is the picture.

Hope this will help you.

Thank you.

8 0

3 years ago

Find the value of Y! please help

Maurinko [17]

Answer:

y = 5.6

Step-by-step explanation:

Use Sine

Sine = $\frac{opposite}{hypothenuse}$

Sine 45 = $\frac{y}{18}$

Sine of 18 is 0.309

0.309 = $\frac{y}{18}$

Multiply 18 on both sides

0.309 x 18 = $\frac{y}{18}$ x 18

5.562 = y

Round to the nearest tenth:

5.562 = 5.6

3 0

3 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).