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3 years ago

Need help on number 13 and 14

Mathematics

1 answer:

makvit [3.9K]3 years ago

5 0

Ok so I think I'm correct
1st number a acute angles
2nd 6

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Questions are in the screenshot.

White raven [17]

For question 4, $x = 18$ units,

For question 5, $x = 8.333$ units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

$\frac{3}{6} : \frac{9}{x} , x = (9)(\frac{6}{3} ) = 18.$ So $x = 18$ units.

Step 3:

The shapes in question 5 are made of a square and a triangle.

For the first shape, the side length is 6 units while the side of the triangle is 10 units.

For the second shape, the side length is 5 units while the side of the triangle is x units.

The ratio of the first shape to the second is;

$\frac{6}{5} : \frac{10}{x} , x = (10)(\frac{5}{6} ) = 8.333.$ So $x = 8.333$ units.

6 0

3 years ago

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

PLEASE HELP PLEASE PLEASE HELP

IrinaK [193]

Evaluate h(-2)

The answer is -16

8 0

2 years ago

A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times a

alexira [117]

Answer:

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

5 0

2 years ago

Read 2 more answers

Draw a number line and mark all described points on it. Numbers that are both larger than –2 and smaller than 3.

vfiekz [6]

Answer:

The numbers larger than -2 and smaller than 3 are -1,0,1,2.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers