All categories

1 year ago

Look at the pattern below.

Mathematics

1 answer:

Paladinen [302]1 year ago

3 0

There will be 36 squares in the 8th step of the pattern

<h3>How to determine the number of squares?</h3>

The pattern and the squares are represented as:

Pattern Squares

1 1

2 3

3 6

4 10

This can be rewritten as:

Pattern Squares

1 1

2 1 + 2

3 1 + 2 +3

4 1 + 2 + 3 +4

So, the number of squares on the 8th pattern is:

8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8

Evaluate

8th pattern = 36

Hence, there will be 36 squares in the 8th step

You might be interested in

A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

Answer:

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

Solution:

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

7 0

2 years ago

What makes the statement true? 7^-2=

Damm [24]

What makes the statement true?7^-2= 0.0204081633

8 0

2 years ago

Read 2 more answers

Can someone check if this is right and correct me if it’s not????

mylen [45]

Answer:

No. it is not tangent to the circle ⇒ A

Step-by-step explanation:

In any circle a tangent and a diameter are perpendicular at one end of the diameter

In the attached figure

∵ The line segment drawn from point A is passing through

the center of the circle

∴ This line segment is a diameter of the circle

∵ If AB is a tangent to the circle at point A

- That means the diameter and the tangent meet each other

at point A (one end of the diameter)

∴ AB and the diameter are perpendicular at point A

∴ m∠A = 90°

Now let us check if the lengths of the triangle formed a right angle triangle or not by using the inverse of Pythagoras Theorem

In a triangle if the square of the longest side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side

∵ 17 is the longest side in the triangle

∵ The other two sides are 10.2 units and 6.8 units

∵ (17)² = 289

∵ (10.2)² + (6.8)² = 150.28

∴ (17)² ≠ (10.2)² + (6.8)²

∴ The triangle can not be a right triangle because the square

of the longest side is not equal to the sum of the squares of the

other two sides

∵ ∠A is opposite to the longest side

∴ m∠A ≠ 90°

∴ Line AB is not perpendicular to the diameter at A

∴ Line AB is not a tangent to the circle

5 0

2 years ago

10>x/3+6 help me please

aleksley [76]

Minus 6 both sides
4>x/3
times3 both sides
12>x

4 0

2 years ago

Read 2 more answers

Nikki has $1100 and spends $35 per week. Mich has $520 and saves $55 per week. In about how many weeks, will Nikki and Micah hav

Rashid [163]

Answer:

6 weeks

Step-by-step explanation:

Given that :

Nikki :

Initial amount = $1100 ;

Amount spent per week = $35

Mich:

Initial amount = $520

Amount saved per week = $55

Number of weeks they'll both have the same amount :

Let number of weeks = w

For Nikki who is spending :

1100 - 35w - - - (1)

For Mich who is saving :

520 + 55w - - - (2)

Equate (1) and (2)

1100 - 35w = 520 + 55w

1100 - 520 = 55w + 35w

580 = 90w

w = 580 / 90

w = 6.444

About 6 weeks

5 0

1 year ago