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2 years ago

PLZ SHOW HOW U WORKED IT OUT

Mathematics

1 answer:

elixir [45]2 years ago

6 0

22.5 times 1,000,000
22,500,000 in mm
22,500 meters and
22.5 kilometers

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Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate

DochEvi [55]

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

8 0

3 years ago

Minimize embedded content

rjkz [21]

Answer:

84 cm²

Step-by-step explanation:

Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles

Area of 2 triangles:

Base = 4 cm

Height = 3 cm

Area of the 2 triangles = 2(½*base*height)

= 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 4 cm

Area = length * width = 24 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 5 cm

Area = length * width = 30 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 3 cm

Area = length * width = 18 cm²

Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²

5 0

2 years ago

An underhand serve follows the same parabolic path but is hit from a height of 3 feet. How will this affect the focus and direct

galben [10]

the focus and directrix will both be shifted down 3 units

4 0

2 years ago

10) An amount of $1500.00 is invested for 3 years at rate of 2% for the first year and 5%, for

AnnyKZ [126]

Answer:

the interest is 195dollars

6 0

2 years ago

PLEASE HELP

dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

$\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}$

Two events A and B are independent when

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

$Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21$

Since $0.35\cdot 0.60=0.21$ events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

$Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14$

Since $0.40\cdot 0.35=0.14$ events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

$Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26$

Since $0.65\cdot 0.40=0.26$ events are independent

4 0

3 years ago