How can you apply mathematical concepts in a natural disaster?

What would be the number line for 3/4x12?

yKpoI14uk [10]

9 will be the answer.....

6 0

3 years ago

100 POINTS AND BRAINLIYEST!!!

Helga [31]

See explanations below

Step-by-step explanation:

Chanel

(i) 90° counterclockwise and then dilation by a factor of 1/2

Trapezoid PQRS is given as :

P(6,-4) -------P'(4,6)

Q(2,-2)------Q'(2,2)

R(2,-6)-------R'(6,2)

S(6,-6)-------S'(6,6)

The transformation switches the position of (x,y) to and adds a -ve sign to the original y value

B. The new coordinates are : P'(4,6), Q'(2,2),R'(6,2) and S'(6,6)

The rule for rotation 90° counterclockwise about the origin is (x,y)⇒(-y,x)

The rule for dilation with scale factor of 1/2 is (x,y)------(1/2x,1/2y)

P'(4,6) -----P''(2,3)

Q'(2,2)-----Q''(1,1)

R'(6,2)-----R''(3,1)

S'( 6,6)-----S''(3,3)

The dilation reduces the coordinates by 1/2

Preston

E. (i)Reflection over x-axis where the rule is : (x,y)----(x,-y)

(ii)Dilation by scale factor of 1/2 the rule is : (x,y)---(1/2x, 1/2y)

Applying reflection over x-axis rule;

P(6,-4) -----P'(6,4)

Q(2,-2)-----Q'(2,2)

R(2,-6)------R'(2,6)

S(6,-6)------S'(6,6)

The coordinates have changed in that a negative sign is added to the y-axis coordinate.

F. P'(6,4), Q'(2,2), R'(2,6) and S'(6,6)

G. Applying the dilation by scale factor of 1/2

P'(6,4)-------P''(3,2)

Q'(2,2)------Q''(1,1)

R'(2,6)------R''(1,3)

S'(6,6)------S''(3,3)

The coordinates of P'Q'R'S are divide by 2 to give coordinates of P''Q''R''S''

Comparing the answers to the final figure given

K(3,2)

L(1,1)

M(1,3)

N(3,3)

Preston is correct because his sequence proves trapezoid PQRS is similar to trapezoid KLMN.

Learn More

Reflection and dilation :brainly.com/question/13408902

Keywords :trapezoid, maps, rotate, counterclockwise, dilate,reflect,scale factor,shape, coordinate

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is s

Nastasia [14]

The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is 720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height$

Part A: What is the height of the base?

The height of the base is given by;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm$

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

$\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720$

The approximate amount of cardboard used to make the candy box is 720 cm².

To know more about triangular prism click the link given below.

brainly.com/question/17056191

7 0

3 years ago

Tina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 15 inches × 12 1/3 inch

erastova [34]

Answer:

Step-by-step explanation:

Remark

This is an "in theory" type of question. She's going to actually need a little more.

Area 1

L = 15

W = 12 1/3

Area = L*W

Area = 15 * 12 1/3 I wonder if you know what the distributive property is. I'll try it. If you don't understand, leave a remark

Area = 15 * (12 + 1/3) Multiply both parts by 15

Area = 15*12 + 1/3 * 15

Area = 180 + 5

Area = 185 square inches.

Area 2.

This is a little harder because their are

2 fractions.

The easy way to do this is change to decimals

L = 10 1/3 = 10.33333333

W = 10 1/4 = 10.25

Area = 10.3333333 * 10.25

Area = <u> 105.92</u> Add

Total Area

The total area = 290.92

8 0

3 years ago

What is the area of the triangle?

gavmur [86]

Answer:

Concept: Geometric Interpretation

$area = \frac{1}{2} (b \times h)$
So 1/2(10×24)= 120 units^2

8 0

3 years ago