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True [87]
2 years ago
7

Can someone tell me the formula of this shape so that i can solve it and would it be the ² or the ³ and last what number in this

problem do i not use thank u

Mathematics
1 answer:
Mademuasel [1]2 years ago
8 0

Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

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Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it.
Mazyrski [523]

Answer:

Step-by-step explanation:

(x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\

5 0
3 years ago
a woman walks in and steals 100 from a register. 5 minutes later uses the same 100 to buy merchandise from that same store and b
murzikaleks [220]
She took 100, the store has       - 100
she went back and bough
70 bucks in stuff, the store has - 70

yes, she took the $100 bill and gave it, got back $30, that means she only kept $30 from the original bill.

the store however, lost the original $100 bill plus the $70 in merchandise, so they have -$170.
5 0
3 years ago
Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How lon
Harman [31]

Answer:

8 meters

Step-by-step explanation:

56 / 7 = 8

6 0
3 years ago
Helpppp please anyone. I don't understand
vovikov84 [41]
The area is 21cm squared. u would have to find the length of the bottom triangle which is 14. than multiply that by the height which is 3. finally divide that all by 2 and youll get the area
7 0
3 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
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