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Gemiola [76]
3 years ago
7

a slug travels 3 centimeters 3 seconds a snail travels 6 centimeters in 6 seconds both travel at constant speed which traveled f

aster
Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

Both slug and snail traveled with the same speed.

Step-by-step explanation:

Given,

Distance covered by slug = 3 cm,

Time taken = 3 seconds,

Speed = \frac{Distance}{Time}

So, the speed of the slug = \frac{3}{3}

= 1 cm per sec,

Now, distance covered by snail = 6,

Time taken = 6 seconds,

So, the speed of the snail = \frac{6}{6}

= 1 cm per seconds,

Hence, both slug and snail traveled with the same speed.

Tju [1.3M]3 years ago
7 0

Both traveled the same speed: 3cm/3s= 1m/s and 6cm/6s= 1m/s

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In 1925, Zbigniew Morón published a rectangle that could be dissected into nine different sized squares as shown in the diagram.
Vlada [557]

Answer:

Area of the rectangle = 1056 square units

Step-by-step explanation:

Rectangle published could be dissected into nine different squares with different sizes.

Area of the squares with different measure of sides will be,

For side length = 1 unit

Area of the square = (Side)²

= 1²

= 1 square units

For side length = 4 units

Area of the square = 4² = 16 units²

For side length = 7 units

Area of the square = 7² = 49 units²

For side length = 8 units

Area of the square = 8² = 64 units²

For side length = 9 units

Area of the square = 9² = 81 square units

For side length = 10 units

Area of the square = 10² = 100 square units

For side length = 14 units

Area of the square = 14² = 196 square units

For side length = 15 units

Area of the square = 15² = 225 square units

For side length = 18 units

Area of the square = 18² = 324 square units

Total area of the rectangle by adding these 9 squares

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056 square units

8 0
4 years ago
Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

IQR = 33.5 - 14.5

IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

4 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

4 0
3 years ago
Rachel drove 756 miles in 12 hours.<br> At the same rate, how many miles would she drive in 8 hours?
kvv77 [185]

Answer:

504 miles

Step-by-step explanation:

you would do 756÷12 which equals 63.... For every hour that you drive its 63 miles. Then you do 63×8 to get 504

4 0
3 years ago
Clara ran 10 miles, which was twice as far as Nina ran. How far did Nina run?
Anarel [89]
Nina would have ran 5 miles because if clara ran 10 and thats twice as far as nina 10 divided by 2 is 5
4 0
3 years ago
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