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2 years ago

A bicyclist travels 13 km at a speed of 20 km/hr. how long does it take her to travel this distance?

Mathematics

1 answer:

aliina [53]2 years ago

3 0

Answer:

${ \tt{time = \frac{distance}{time} }} \\$

speed is 20 km/hr
distance is 13 km

${ \tt{time = \frac{13}{20} }} \\ \\ { \boxed{ \tt{ \: time = 0.65 \: hours}}}$

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X over 85 = 72 over 100

gayaneshka [121]

Answer:

X=61.2

Step-by-step explanation:

x/85 = 72/100

x*100/8500 = 6120/8500

x*100 must equal 6120 therefore x must be 61.2 because 61.2 * 100 is 6120

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4 years ago

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(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girl

elixir [45]

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

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4 years ago

1 Which sequence of transformations takes AA to its image, AB ?

lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is the option B.

(B) Reflection across y-axis and a translation 2 units down

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

From a similar question, we have, ;

The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)

The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)

The options are;

(A) Reflection over the x-axis and 2 units translation down

(B) Reflection over the y-axis and 2 units translation down

(C) 90° rotation after a translation of 2 units down

(D) 90° rotation after a translation of 12units right

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

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3 years ago

Find the surface area of puzzlecube 5.7

sveticcg [70]

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

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3 years ago

Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun

natali 33 [55]

The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.

In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.

Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.

Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.

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3 years ago