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arlik [135]
3 years ago
14

What is the volume of a prism that is 11×13×21?

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

3003 units^3.

Step-by-step explanation:

Just multiply the dimensions :

11 * 13 * 21

= 143 * 21

= 3003 units^3.

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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
Find the slope of (-2,1),(-2,2)
Natalija [7]

Answer:

there is no slope its undefined

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP⚠️⚠️ Brandi has equal numbers of hip-hop songs and country
son4ous [18]

Answer:

its the equal sign which the hip hop give me a pop says the equations equal

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that
Aneli [31]
Ist amount paid = $1500
Making $350 for 10 months = 10*350 = $3500
Total amount paid  = 1500 + 3500 = 5000
So an amount of $5000 was paid to cover the cost of $4500 within the ten month period.
I = PRT
Interest, I = 5000 - 4500 = 500Time, t = 10 months = 10/12 = (5/6) year.Principal P = 4500
R = I /(PT)  R = 500 / (4500*5/6)
R = (500*6) / (4500*5)
R = 0.1333..
R ≈ 13.33 %  per annum.

3 0
3 years ago
What is 12 2/3 as an improper fraction
BaLLatris [955]

Answer:

\dfrac{38}{3}

Step-by-step explanation:

12\dfrac{2}{3} =

= 12 + \dfrac{2}{3}

= \dfrac{12}{1} + \dfrac{2}{3}

= \dfrac{12}{1} \times \dfrac{3}{3} + \dfrac{2}{3}

= \dfrac{36}{3} + \dfrac{2}{3}

= \dfrac{38}{3}

4 0
3 years ago
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