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katrin [286]
3 years ago
9

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t

hird side of the triangle

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

2.646 i believe is the answer : )

Step-by-step explanation:

arlik [135]3 years ago
3 0

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

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Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati
MatroZZZ [7]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=16\ ft\\W=8\ ft

substitute

A=(16)(8)\\A=128\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

5 0
3 years ago
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
Translate into an equation:
tatiyna
In order to do these, simply translate the sentence mathematically.
1) x-15=7
2)3x+4=13
3)x+x+2+x+4=51
Hope this helped :D. Comment below if you have any questions!
4 0
3 years ago
Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviatio
salantis [7]

Answer:

Cohen's D

Step-by-step explanation:

Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.

Effect size is defined as how large the effect of a something is or its magnitude.

Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate

The formular for Cohen's D is:

D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)

This is the most appropriate method in the given scenario

5 0
3 years ago
If cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is
Natalka [10]

Answer:

50

Step-by-step explanation:

Which number is greatest?

2.89 times 10 Superscript negative 8

1.997 times 10 Superscript 2

8.9 times 10 Superscript negative 6

5 times 10 Superscript negative 6

4 0
3 years ago
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