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3 years ago

I couldn’t find the radical sign so here’s the problem in a picture :)

Mathematics

2 answers:

Alex3 years ago

6 0

√2 + 5/√50=√2 + 5/√(2*25)=√2 + 5/5√2 =√2 + 1/√2=(√2*√2)/√2 + 1/√2=
=2/√2 + 1/√2=3/√2=(3*√2)/(√2*√2)=3√2/2

PSYCHO15rus [73]3 years ago

3 0

First, you would simplify. (I don't know how to type the radical sign, so I'm just going to type radical :))
$\sqrt{2} + 1/\sqrt{2}$
Then since you can't have a radical as the denominator on the bottom, you would multiply the bottom and top by radical2 on both sides and get:
$\sqrt{2} + \sqrt{2}/2$
If you are looking for an exact answer, this would be the answer^^
If you are looking for an approximate answer, the answer would be approx. 2.12132.

Hope this helped :)

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Slope of (10,8) (2,1)

Reptile [31]

Answer:

slope=7/8

Step-by-step explanation:

8-1/10-2= 7/8

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2 years ago

Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th

melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

6 0

3 years ago

Read 2 more answers

Two cars travel along a highway at the same speed.

Mazyrski [523]

Answer:

30 mins

Step-by-step explanation:

<em>speed = distance/ time </em>

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

$\frac{5}{3} = \frac{50}{t}$

$5t = 150$

$t = 30$

=> t = 30 mins

6 0

3 years ago

The Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Jones, Brown,

scZoUnD [109]

Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
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Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
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Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.

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