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GrogVix [38]
3 years ago
12

Please help, it’s due today :)

Mathematics
2 answers:
Cloud [144]3 years ago
6 0

Answer:

x =5

Step-by-step explanation:

We can use ratios for the side lengths

9              x

--------- = -----------

9+18       x+10

Using cross products

9 (x+10) = x * (9+18)

Distribute

9x+90 = x*27

9x+90 = 27x

Subtract 9x from each side

9x-9x+90 = 27x-9x

90 = 18x

Divide each side by 18

90/18 = 18x/18

5 =x

tia_tia [17]3 years ago
3 0
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A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c
nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

<h3>What is a cone?</h3>

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

\rm V = \pi r^2 h

r = 10/2 = 5 FT

h = 12 FT

\rm V = \pi (5)^2 \times 12

V = 300π cubic FT

Volume of the cone:

\rm v = \dfrac{\pi r^2 h}{3}

\rm v = \dfrac{\pi (5)^2 \times 12}{3}

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0
2 years ago
What is 1+1 ?<br><br> Plz help!!! Hurry plz, I need to know.
DaniilM [7]

Answer:

hmmm...? im gonna guess 2

Step-by-step explanation:

i finger plus another finger gives me......ahhhhh ik the answer its 2

4 0
4 years ago
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3 ½ times as many guests arrived as were expected. If 105 guests were unexpected, how many guests were expected ?
lara [203]
Let x be the expected number Number arriving = 3•5 x Unexpected number 2•5 x 2•5 x = 105 10x = 420 x = 42______Option D
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t
Darina [25.2K]

Answer:

12

Step-by-step explanation:

\sqrt{12} \times\sqrt{12}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0

\sqrt{12}\sqrt{12}=12

=12

7 0
3 years ago
PLEASEE HELP!
melamori03 [73]

Answer:

Two non zero vectors, a and b are parallel when they are scalar multiples of each other such that a = c·b where c is a scalar quantity.

Therefore, in order to find a vector that is parallel to the vector, b = (-2, -1), we multiply the vector, b by a scaler quantity

Step-by-step explanation:

Given that the vector b = (-2, -1) can be written as follows;

b = -2·i - j, we have;

\left | b \right | = √((-2)² + (-1)²) = √5

Therefore, we have;

The coordinates of the endpoint of the vector are (-2, 0) and (0, -1)

Therefore, the slope of the vector = (-1 - 0)/(0 - (-2)) = -1/2

The slope of parallel vectors are equal, which gives the slope of the parallel vector = -1/2 = (λ × (-1 - 0))/(λ ×(0 - (-2))

Therefore, a parallel vector is obtained from a vector by multiplying with a scaler product.

7 0
3 years ago
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