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BARSIC [14]
3 years ago
12

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 c

ubic units.
What could be the dimensions of the prism that was removed?
4 by 2 by 5
3 by 1 by 8
2 by 1 by 7
2 by 2 by 5
Mathematics
2 answers:
frozen [14]3 years ago
7 0

Answer:

2 by 2 by 5

Step-by-step explanation:

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 cubic units. Therefore, the dimensions of the prism that was removed could be 2 by 2 by 5.

200 - 180 = 20

2 by 2 by 5 = 20

Darya [45]3 years ago
5 0

Answer:

  2 by 2 by 5

Step-by-step explanation:

The change in volume is 20 cubic units, so that must be the product of the dimensions of the cuboid removed.

a) 4×2×5 = 40 ≠ 20

b) 3×1×8 = 24 ≠ 20

c) 2×1×7 = 14 ≠ 20

d) 2×2×5 = 20 . . . . . this is the answer

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1/8

Each time the probability for landing on heads in 1/2 or 50% so do 1/2*1/2*1/2=1/8.
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Sea f(x) = 5x + 3 entonces f(6) = ?
sesenic [268]

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

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7 0
3 years ago
6. Find the area of a triangle with sides a = 5, b = 8, and c = 11.​
Colt1911 [192]
<h2>20</h2>

Hi, I’m Lena and I’ll be here to answer your question with a good-quality answer. If there's something I can improve, let me know! ツ

♡ Let’s look at the main important things that will lead you in the correct path.

♥ <em>a </em>+<em> b</em> usually = <em>c!</em> Unless the book asks you to find a specific variable, you will most likely be looking for <em>c</em>.

♥ <em>A</em> = <em>bh</em>/2! This is the formula for the area of a triangle. You can also read this as A = base * height/2. The good thing about this formula is you don't need a picture. You can write it as <em>a</em> * b<em> </em>or <em>b</em> * <em>a!</em>

<em />

♡ Now, let's solve!

♥ Plug the numbers into the formula: 5*8/2.

♥ Solve! In this case, we do not need c: 40/2 = 20.

Your answer should be 20! Please do not hesitate to ask me any questions.

3 0
3 years ago
Los dueños de un restaurante cultivan sus propios
hammer [34]

Answer:

Quedan 2.083 m^3 de agua en el reservorio.

Equivalen a 2083 litros.

Step-by-step explanation:

Los dueños del restaurante tienen un reservorio de agua cuyo volumen es de 6.25 m^3.

Si han utilizado 2/3 del reservorio, esto implica que aún quedan en el reservorio una tercera parte del volumen original (1/3).

Entonces, la cantidad de metros cúbicos (m^3) de agua que quedan en el reservorio se puede calcular como:

V=(1/3)\cdot V_0=(1/3)\cdot6.25\,m^3=2.083\,m^3

Este valor equivale a un volumen en litros de:

V=2.083\,m^3\cdot \dfrac{1,000\,l}{1m^3}=2,083\,l

7 0
3 years ago
The park is 6 mi due east of Freeport High School, and the library is 4 mi due west of the school. The police department is loca
AURORKA [14]
The answer is 6.7 mi.

Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²)<span>:
c</span>² = a² + b²<span>

First, we need to express symbols:
b - side of the right triangle (distance </span><span>between police department and Freeport High School).
a1 - </span>side of the first right triangle (distance between library and Freeport High School).<span>
a2 - </span><span>side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between </span>police<span> department and library).
c2 - </span>hypotenuse of the second triangle (distance between police<span> department and park).

Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi

First, let's calculate b, which is a common side for two triangles:
</span>c1<span>² = a1² + b²
</span>b² = c1<span>² - a1²
</span>b² = 5<span>² - 4²
</span>b² = 25<span> - 16
</span>b² = 9
√b² = √9
b = 3.

We know b, now we can calculate c2:
c2<span>² = a2² + b²
</span>c2<span>² = 6² + 3²
</span>c2<span>² = 36 + 9
</span>c2<span>² = 45
</span>√c2<span>² = </span>√45
c2 = 6.7

The distance between police department and park is 6.7 miles.

3 0
3 years ago
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