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Svetlanka [38]
3 years ago
12

Erica is playing Target one fractions. She has three cards: 1, 2, 3, 4, 6. Which three cards should she choose to make a whole n

umber and a fraction that have a product closest to 1?
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

They are 1, 2 and 6

Step-by-step explanation:

To make a whole number and a fraction that have a product closest to 1. We need to find the smalles whole number and a fraction

- For the whole number, only card 1 has the smallest value

- For a fraction, we need to find the smallest numerator , it is card 2, and the greatest denominator, it is card 6 to have the smallest value in the fractoon.

So finally, our product areL 1 2/6 = 8/6 which is closest to 1.

<em>Hope it will find you well. </em>

<em>Thanks </em>

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Select the correct answer,
Inessa05 [86]

Answer:

B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.

Step-by-step explanation:

7 0
3 years ago
Solve |5x+30|=10x ......
Orlov [11]

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

\implies |5x + 30| = 10x

We can write it as ,

\implies 5x + 30 = \pm 10x

On simplyfing further,

\implies 5x + 30 =  10x \quad or \quad 5x +30=-10x

On solving the above equation , we will get ,

\implies \boxed{ x = 6,-2}

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

<u>Option</u><u> </u><u>A </u><u>is </u><u>correct</u><u> </u><u>.</u>

5 0
2 years ago
How do you find 1/2n+3&lt;5
alina1380 [7]

n < 1

Hope this helps! :)

7 0
3 years ago
I really need help please
anastassius [24]

9514 1404 393

Answer:

  60

Step-by-step explanation:

The minimum number required is the least common multiple (LCM) of 15 and 4. The numbers 15 and 4 have no common factors, so their LCM is their product.

  15×4 = 60 strands are required

6 0
2 years ago
A television screen's width is 1.778 times its height. If its
Nana76 [90]

Answer:

Let a, b, and c be the height, width, and the diagonal of the screen respectively

Since they form a triangle and the angle between a and b is 90 degrees, according to the Pythagorean Theorem a^2 + b^2 = c^2

Let's assume that the aspect ratio is 16:9. Therefore b/a = 16/9

Now we have a system of two equations with two unknowns. We need to express everything in terms of a single unknown, so let's express a in terms of b.

Since, b/a = 16/9, by cross multiplying 16a = 9b. Therefore a=9b/16.

Now we can subsitute 9b/16 for a in the first equation

a^2+b^2=c^2 becomes (9b/16)^2 + b^2 = c^2

Squaring the nominator and the denominator of the fraction yields

81b^2/256 + b^2 = c^2

To perform the addition, we need to express b^2 as a fraction with denominator 256 which is 256b^2/256, Now we have

81b^2/256 + 256b^2/256 = c^2

Adding fractions with the same denominators is now easy and produces

337b^2/256 = c^2

Cross multiply to get

337b^2 = 256c^2

Divide both sides by 337 to get b^2

b^2=256c^2/337

Take the square root of both sides to get b

b = sqrt(256c^2/337)

Lots of complicated Pythagorean responses. This is much simpler to answer with Trigonometry.

TLDR; just multiply the diagonal by the following two coefficients, and add the bezel width, to get the width and height:

w = diag x 0.872 + 2 x bw

h = diag x 0.49 + 2 x bw

(Where diag is the diagonal size of the screen and bw is the bezel width)

Thats all you need to know to do this.

Now here’s the Teig behind it:

First, calculate the angle of the diagonal relative to the base, using tangent, which yields ::

a = tan(9/16)

This will give you an angle of 0.512 radians (or roughly 30 degrees).

Next, calculate the ratio of the height relative to the hypotenuse (the diagonal length) using arc-sine, which yields the relative proportion of opposite length over the hypotenuse for a given angle:

h = asin(0.512)

The result will be roughly h = 0.49, or 49% of the diagonal.

Finally, get the ratio of eidth to hypotenuse using arc-cosine:

w = acos(0.512)

The result is roughly w = 0.872, or 87.2% of the diagonal.

that’s all the math! Enjoy!

6 0
3 years ago
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