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Nimfa-mama [501]
2 years ago
14

Solve the equation for 1,PV, PzV2TTTz=7(Type a single fraction.)​

Mathematics
1 answer:
slavikrds [6]2 years ago
6 0

Answer:

2/14

Step-by-step explanation:

i tried my best

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Volume of prisms just 3 problems
Vladimir79 [104]

Answer:

2.  18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4.  We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0
2 years ago
A geodesic dome has a radius of 27 feet. Which value is closest to the volume of the dome? Use 3.14 for π.
pantera1 [17]
We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 27³
v = 4/3 * 3.14 * 19,683
v = 82406.16 feet³

In short, Your Answer would be Option B

Hope this helps!

7 0
3 years ago
Read 2 more answers
The triangle ABC is dilated with respect to the point O(8, -3) and the scale factor 3 to a new triangle A'B'C'. What is the slop
Aleks [24]
The slope of the line segment A'C' is 1/7.
6 0
3 years ago
An object with initial temperature 120° F is submerged in large tank of water whose temperature is
nikitadnepr [17]

Answer:

F(t)=Ts+(T0-Ts)^{e-0.2t

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

F(t)=Ts+(T0-Ts)^{e-kt

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

F(t)=Ts+(T0-Ts)^{e-0.2t

7 0
3 years ago
Books that contain words of similar meaning and opposite meaning are called
jek_recluse [69]

Answer:

A thesaurus

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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