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zheka24 [161]
2 years ago
13

What is the surface area of the triangular prism?​

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

Answer:

<h3>The surface area of the prism is A prism=204m2</h3>

Step-by-step explanation:

Area is the space that is contained in a two-dimensional figure.

Surface area is the total area of all of the sides and faces of a three-dimensional figure.  

To find the surface area, the area of each face is calculated and then add these areas together.

To find the area of a rectangle, multiply the length by the width .

From the graph the length of the rectangle is 10 m and the width is 8 m. Therefore, the area of the bottom face is

From the graph the length of the rectangle is 10 m and the width is 5 m. Therefore, the area of one of the rectangular side faces is

To find the area of a triangle use the following formula  where b is the base and h is the height.

From the graph the base of the triangle is 8 m and the height is 3 m. Therefore, the area of one of the triangular faces is

The surface area of the prism is the sum of the area of the bottom face, the area of the two rectangular side faces, and the area of the two triangular faces

<h3>brain liest me pls</h3>
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Heights of young adult women in the United States are approximately Normal with a mean of 64 inches and standard deviation 2.7 i
sweet-ann [11.9K]

Answer:

The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is  

   P( X >  72) =0.0015233

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =  64 \ inches

    The standard deviation is  \sigma =  2.7 \  inches

Generally  6 feet  is equivalent to 6 * 12 = 72 inches

Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

       P( X >  72) =  P(\frac{X - \mu }{\sigma }  >  \frac{72  - 64 }{ 2.7 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

       P( X >  72) =  P(Z >  2.963 )

From the z-table

  The area under the normal  curve to the right corresponding to 2.963  is  

     P(Z >  2.963 ) = 0.0015233

=>   P( X >  72) =0.0015233

3 0
3 years ago
What is the answer for <br>9(5x)
umka21 [38]
When it is in () it means multiply x=45
3 0
3 years ago
Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
Read 2 more answers
Select the equivalent expression.
ANEK [815]

Answer:

c

Step-by-step explanation:

\frac{1}{9^{2} }=1/81

9^{\frac{1}{2} } =3

\frac{1^{2} }{9}=\frac{1}{9}

9^{-2}=1/81

5 0
3 years ago
In the mathematical expression 4 * 3 + 15 / 3 - 6, which operation is performed first?
sveta [45]
Multiplication would be first 
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2 years ago
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