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3 years ago

PLEASEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEE

Mathematics

2 answers:

Fiesta28 [93]3 years ago

8 0

It is a, 1:2 ratio because the bigger box is twice as big as the smaller box

diamong [38]3 years ago

6 0

Answer:

Step-by-step explanation:

the first box is 2 times as small as the the second

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6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term and $q$ is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

$q = 0.7, a_1 = 25*0.7 = 17.5$

Then

$a_n = a_1q^{n-1}$

$a_n = 17.5(0.7)^{n-1}$

First 5 terms:

$a_1 = 17.5$

$a_2 = 17.5(0.7)^{2-1} = 12.25$

$a_3 = 17.5(0.7)^{3-1} = 8.58$

$a_4 = 17.5(0.7)^{4-1} = 6$

$a_5 = 17.5(0.7)^{5-1} = 4.2$

Find the total distance the ball has travelled after it hits the ground the 5th time.

$T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53$

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0

3 years ago

Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

Given the following triangle, if a = 2 and b = 3, find c.<br> √5<br> √10<br> √13

Tems11 [23]

We can use pythagorean theorem:

a^2 + b^2 = c^2

4 + 9 = c^2

13 = c^2

sqrt of 13 = c

Hope this helps!

4 0

3 years ago

Read 2 more answers

Some Geometry problems I need some help with!

drek231 [11]

Answer:

When a 2-D circle is rotated around a line that it does not touch. What is the name of the resulting figure?

The answer is annulus

A sphere with radius 16 m is cut by a plane though it’s a great circle. What is the best description of the cross section that is shown?

B. A circle with radius 16 m

8 0

3 years ago

What’s the pattern of -1, -8, -27, and -64

AURORKA [14]

Hello from MrBillDoesMath!

Answer:

a(n) = (-n)^3 where n = 1,2,3,...

Discussion:

The pattern 1,8,27, 64... is immediately recognizable as the the cube of the positive integers. But this question has a minus sign appearing before each entry, suggesting we try this:

- 1 = (-1)^3

-8 = (-2)^3

-27 = (-3)^3

-64 = (-4)^3

That's what the problem statement asked for . The answer is equivalently

-1 * (n^3)

Thank you,

MrB

6 0

3 years ago