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3 years ago

16. In the figure below, lines A and B are parallel.

Mathematics

1 answer:

lesantik [10]3 years ago

3 0

Answer:

the angle measurement is 75

Step-by-step explanation:

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Jack read 20 pages of a book in 60 minutes. How many pages can he read in 75 minutes at the same rate? Write a proportional equa

AveGali [126]

Answer:

25 pages

Step-by-step explanation:

Create a proportion:

$\frac{pages}{minutes}$ = $\frac{20}{60}$ = $\frac{x}{75}$

Cross multiply and solve for x, the number of pages in 75 minutes:

60x = 1500

x = 25

So, he can read 25 pages in 75 minutes at the same rate

6 0

3 years ago

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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

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3 years ago

What is the difference between exponent form and expanded form (repeated multiplication)?

Inga [223]

Expanded FormExpanded form refers to a base and an exponent written as repeated multiplication. ExponentExponents are used to describe the number of times that a term is multiplied by itself. ExpressionAn expression is a mathematical phrase containing variables, operations and/or numbers.

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3 years ago

What binomial is a factor of the trinomial x^2-5x+4

Svetradugi [14.3K]

Explanation:

Let the equation be

⋅

. To factorize multiplication of a and c i.e. ac so that sum of factors, if ac is positive (and difference if ac is negative) is equal to b. Now split b into these two components and factorization will be easy.

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3 years ago

Given that ab = x, evaluate the following: ab+2

Semmy [17]

Answer:

x+2

Step-by-step explanation:

replace ab with x

4 0

3 years ago

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