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RUDIKE [14]
4 years ago
6

A three-toed sloth has a top speed of 0.22 feet per second. A giant tortoise has a top speed of 2.992 inches per second. Convert

both speeds to miles per hour, and determine which animal is faster.
Mathematics
1 answer:
Akimi4 [234]4 years ago
6 0
If you convert the sloth it is
0.15 miles per hour
If you convert the giant tortoise it is
0.17 miles per hour
You can then compare the two and realize the giant tortoise is 0.02 miles per hour faster than the sloth
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Find the positive square root of 2 9/49<br>​
yawa3891 [41]
1.47 hope this helps
3 0
3 years ago
This year the boys’ basketball team won 4 times as many games as it lost. The team played a total of 40 games. How many games di
Salsk061 [2.6K]

Answer:

The team won 32 games.

Step-by-step explanation:

x = games won

y = games lost

z = total games = 40

x = 4y <em>Won 4 times as many games as it lost</em>

x + y = 40 <em>Games won + games lost = Total games played</em>

4y + y = 40 <em>Sub 4y in for x, as established previously</em>

5y = 40

y = 8

x = 4y

x = 4(8)

x = 32

The team won 32 games.

8 0
3 years ago
Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection,
Flura [38]

Answer:

Part A: Figure 1 → Figure 4

Rigid Transformation

Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation

Part B: Figure 2 → Figure 5

Similarity transformation

Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation

Step-by-step explanation:

Part A: Figure 1 → Figure 4

The coordinates of the vertices of the preimage are;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image are;

(-9, -2), (-2, -4), (-5, -10)

Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin

Part B: Figure 2 → Figure 5

The coordinate points of figure 2 are;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 are;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 are;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 are;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2

Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°

We have;

Figure 5 is obtained as follows;

1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as follows;

(9, -2), (5, -10), and (2, -4)  → (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of 1/2  with a center of dilation of (1, 2) to get;

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

8 0
3 years ago
5. El valor de un producto bancario es de 15€. El lunes sube un 3%, el martes baja un 7% y el miércoles sube un 10%. ¿Con qué va
Alenkinab [10]

Answer:

El valor con el que comienza el jueves es 15.80535. El porcentaje de aumento desde el lunes es 5.369%

Step-by-step explanation:

Consideremos una cantidad x de un producto bancario, al multiplicar x por el factor (1+k%) implica un cambio de k% en el valor x. Si decimos que aumentó el valor de x, entonces k es positivo y si decimos que baja el valor de x, entonces tomamos k negativo.

Para comenzar, tenemos que x = 15. El valor con el que inicia el martes está dado por 15*(1+3%). Para calcular en cuánto comienza el miércoles, multiplicamos este valor por (1-7%). Es decir, 15*(1+3%)*(1-7%).

Finalmente, calculamos el valor inicial al jueves multiplicando por (1+10%).

Es decir,q ue el valor inicial el jueves es

15\cdot (1+3\%)\cdot(1-7\%)\cdot(1+10\%)= 15.80535

Para calcular el porcentaje de aumento con respecto al lunes, dividimos este valor por el costo inicial (15). POsteriormente, restamos 1 al resultado y lo multiplicamos por 100 (así nos da un porcentaje). Si el resultado final es positivo, es un aumento, y si es negativo es una disminución. En este caso el porcentaje es

(\frac{15.80535}{15}-1)\cdot 100 = 5.369\%

6 0
3 years ago
Which expression is same as 5 divided 4
Y_Kistochka [10]

Answer: 1.25*4

Step-by-step explanation: 1.25 multiplied by 4

5 0
3 years ago
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