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jok3333 [9.3K]
3 years ago
7

the shape of the triangular prism that is 2 cm high. the triangular base of the prism has a height of 5cm and a base of a 4cm. f

ind the volume plz
Mathematics
1 answer:
stira [4]3 years ago
4 0
Given:
Height of triangular prism = 2 cm
triangular base of the prism = height = 5cm ; base 4cm

Base area = (5cm*4cm)/2 = 20cm² / 2 = 10cm²

Volume of triangular prism = base area * height
V = 10cm² * 2cm
V = 20cm³
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Prove the polynomial identity (a-1)^3 + (a-1)^2 = a(a-1)^2
Sav [38]

Answer:

uhh

Step-by-step explanation:

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Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are t
musickatia [10]

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

6 0
3 years ago
How can I solve this?
Eva8 [605]

Answer:

they are congruent so 47 is also the measurement for its corresponding angle(aka the corner that doesn't have a variable)

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so your answer is a

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8 0
3 years ago
Example 2
PIT_PIT [208]

Answer: (a) 314.2cm², (b) 157.1cm², (c) 78.55cm² (e) 6.77

Step-by-step explanation: (a)  Area of the circle with radius of 10 cm = πr²

                                                                          = 3.142 × 10 × 10

                                                                          = 3.142 × 100

                                                                          = 314.2cm²

The formula                                                       = πr²

(b)  Area of the half of a circle known as semicircle

                                                                         = πr²/2

                                                                         = 3.142 ×10 × 10/2

                                                                         = 3.142 × 50

                                                                         = 157.1cm²

The formula                                                      = πr²/2

(c)  A quarter of a circle is called quadrant

                                                            = πr²/4

                                                            = 3.142 × 10 × 10/4

                                                            = 314.2/4

                                                            = 78.55cm²

The formula is written thus = πr²/4, which implies that the circle is divided into 4 unit

(d) The conjecture about how to determine the area of the sector is

Formula of a sector = ∅/360(πr²)

<u>Information</u>

The arc  cant be 60°, therefore information incomplete.

(e) Area of the sector with the angle AOB of 60° = 24.

To find the radius of the angle, make v the subject of the formula from the formula.

Sector area = πr²∅/360°

equate formula to 24.

Therefore πr²∅/360° = 24

Multiply through by360° to make it a linear expression

It now becomes πr²∅ =24× 360°

                                                     r² = 24  x 360/π × ∅°

                                                     r² = 24 × 360° /3.142 × 60°

                                                     r² = 3,640/188.52

                                                     r² = 45.8

To find r , we take the square root of both side by applying laws of indicies

                                    Therefore r = √45 .8

                                                      r = 6.77

(f)   General formula = ∅°/360° × (πr²)

angle substended at centre by the arc = x°

assuming the radius of the circle = ycm, Therefore,  area of the sector = { ∅°/360° × πy² }

                                                     

                                                   

8 0
3 years ago
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