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3 years ago

5

Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A r

otated through?

1 answer:

liberstina [14]3 years ago

8 0

Answer:

90 degrees

Step-by-step explanation:

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Plz help<br> and explain

vovikov84 [41]

To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
$=(x+10)^2-x^2$ [recall $(a+b)^2=a^2+2ab+b^2$
$=x^2+20x+100-x^2$
$=20x+100$ or 20(x+5) if you wish.

8 0

3 years ago

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

<u>Area of the square</u>

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

A gift box has dimensions of: 8 12 inches, 5 12 inches, and 2 12 inches, respectively. How many cubes with side lengths of 12 in

Nadya [2.5K]

Answer:

163.5 cubes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help me please help me thank you

Eddi Din [679]

Answer:

1. The sum of interior angles of a pentagon is 180 but here the sum of angles of this pentagon is 550 . So it is wrong.

2. Angle 145 is equal to the corresponding of angle y. So angle y is 145 degree.So according to opposite angle theorem, angle x is also 145 degree.

Sorry I do not know next question solutions.

6 0

3 years ago

How many lines of symmetry does a triangle have?

lora16 [44]

It has three lines of symmetry.

5 0

3 years ago