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Semmy [17]
3 years ago
10

Please help me

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

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Y varies directly as x. Y=28 when x=2. Find y when x=12
Tatiana [17]

Answer:

Y=168

Step-by-step explanation:

Y varies directly as X

Y=kx

K is a constant

28=k2

K=28/2 =14

Y=14x

Y=14×12

Y=168

4 0
2 years ago
PJ will begin her cake deliveries at 12:20 . She asked to remind her 30 minutes before she has to leave. What time should I remi
mojhsa [17]

Answer:

At 11:50  

Step-by-step explanation:

1. Subtract the hours and the minutes separately

12:  20

<u>- 0</u>: <u> 30</u>

12: -10

2. If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.

12:    -10

<u> - 1</u>: <u>+ 60 </u>

11:   50

You should remind PJ about her deliveries at 11:50.

4 0
3 years ago
the length of a rectangle is 3 units shorter than one -third of the width, x. Which expression represents the perimeter of the r
Mariana [72]

Answer:

A) \frac{8}{3} x - 6

Step-by-step explanation:

Let the width of the rectangle be x units.

\therefore \: length \: of \: rectangle =  \frac{1}{3} x - 3 \\ Perimeter \: of \: rectangle  = 2(l + w) \\  = 2  \bigg( \frac{1}{3} x - 3 + x \bigg)\\  = 2  \bigg( x + \frac{1}{3} x - 3 \bigg)\\  = 2  \bigg(  \frac{3x + x}{3}  - 3 \bigg)\\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  =   \frac{2 \times 4x}{3}  -2 \times  3  \\  \purple{ \bold{{Perimeter \: of \: rectangle   =  \frac{8}{3} x - 6}}}

8 0
3 years ago
Clare knows that Priya has a bunch of nickels and dimes in her pocket and 2 points
Maurinko [17]

Answer:

5x + 10y = 125

Step-by-step explanation:

Let :

Number of nickel = x

Number of dime = y

Nickel = 5 cent

Dime = 10 cent

Total value = $1.25

Total value should be converted to cent since both dime and nickel are both in cent

= $1.25 * 100 = 125 cents

Therefore,

5x + 10y = 125 cents

4 0
2 years ago
Steven has a rectangular rug with a perimeter of 16 feet.The width of the rug is 5 feet.What is the length of the rug?
notka56 [123]

Answer:

the length of the rug is 3 ft

- your welcome

3 0
3 years ago
Read 2 more answers
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