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3 years ago

5

3.Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that

he picks A first and B second?

1 answer:

Oksana_A [137]3 years ago

8 0

Because they are first.

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What is value of this expression

KiRa [710]

Answer:

Step-by-step explanation:

= 4 + (-2)/ -3 + 3

= 4 - 2/ -3 + 3

= 2/0 If the denominator is 0, the value is undefined.

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3 years ago

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Calculate 40^13 (mod85)

777dan777 [17]

I pretty sure the answer is 134217728000000000000/17

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4 years ago

Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f

olasank [31]

Answer:

$\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}$

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

$\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}$

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

$\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}$

The area of its dilated image EFGH is

$\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}$

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3 years ago

3+(8+7) = (7+8)+3

Elis [28]

Associative Propety

(a + b) + c = a + (b + c)

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3 years ago

The price of a mountain bike increased by 20% in the past year the value is $150 what was the value of the mountain bike last ye

n200080 [17]

I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, <em>x. </em>That year, that price of x increased by 20% more than it was before, or <em>120% times the original value</em>. Because of that, it's now $150.

We can equation this.

1.20x = 150

x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!

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3 years ago