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3 years ago

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the ratio of isabella money to shane money is 3:11 if isabella has 33$ how much money do shane and isabella have together use di

agram to illustrate your answer

1 answer:

Liono4ka [1.6K]3 years ago

8 0

Together both shane and isabella have 42$

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These trapezoids are similar. Which of the following is the correct similarity statement

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Check the picture below.

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3 years ago

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f

pav-90 [236]

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is $A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|$

The coordinates of the triangle are given as:

$R = (-5,6)$

$S = (3,4)$

$T = (-2,2)$

The area (A) of a triangle from its coordinates or vertices are:

$A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|$

Substitute values for x's and y's

$A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|$

Hence, the expression that represents the area of the triangle is $A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|$

Read more about areas of triangles at:

brainly.com/question/9664477

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2 years ago

g 1.32 Two points on a sphere of radius 3 are given as P1(3,0,30) and P2(3,45,45): (a) Find the position vectors of P1 and P2. (

Rama09 [41]

Answer:

a) P.V of is OP₁ = [ 1.5i + 0j + 2.6k ], P.V of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b) Vector connecting P₁ to P₂ is [ 0i + 1.5j + 0.48k ]

c) cylindrical coordinates are (1.5, π/2, 0.48)

Step-by-step explanation:

Given that;

r = 3

P₁ ( 3, 0°, 30° ), P₂ ( 3, 45°, 45° )

a)

P.V of P₁

x = rcos∅sin∅ = 3(cos0°) ( sin30°) = (3 × 1 × 0.5) = 1.5

y = rsin∅sin∅ = 3(sin0°) (sin30°) = (3 × 0 × 0.5) = 0

z = rcos∅ = 3(cos30°) = ( 3 × 0.866) = 2.6

∴ P.V of is OP₁ = [ 1.5i + 0j + 2.6k ]

P.V of P₂

x = rcos∅sin∅ = 3(cos45°) ( sin45°) = (3 × 0.7071 × 0.7071) = 1.5

y = rsin∅sin∅ = 3(sin45°) (sin45°) = (3 × 0.7071 × 0.7071) = 1.5

z = rcos∅ = 3(cos45°) = ( 3 × 0.7071) = 2.12

∴ P.V of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b)

Vector connecting P₁ to P₂ is given by

OP₂ - OP₁ = [ 1.5i + 1.5j + 2.12k ] - [ 1.5i + 0j + 2.6k ]

= [ 0i + 1.5j + 0.48k ]

c)

P₁P₂ → = [ 0i + 1.5j + 0.48k ] = [ 1.5j + 0.48k ]

so in a cylindrical coordinate, it should be

r = √(o² + 1.5²) = 1.5

∅ = tan⁻¹[y/π] = π/2

z = 0.48

cylindrical coordinates are (1.5, π/2, 0.48)

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3 years ago

Choose the calculation that shows “add 26 to m”. A)

Alex787 [66]

Answer: easy it’s..........

Step-by-step explanation: 26+M

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3 years ago

An angle equal to its supplement is _____ degree.

bonufazy [111]

Answer:

90 Degrees.

The angle which is equal to its supplement is 90 degrees.

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3 years ago

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