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3 years ago

Please answer asap please take a look at the question explain and please be quick

Mathematics

1 answer:

tatiyna3 years ago

3 0

Answer:

Step-by-step explanation:

52*3:4+1=40 There are 52 weeks in a year, 3/4 of 52= 39 , 1 week longer than it 39+1=40

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The measure of an angle is 108°. What is the measure of a supplementary angle?

gogolik [260]

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

8 0

3 years ago

Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

$cos \theta = -\frac{8}{17}$

5 0

3 years ago

The midpoint M and one endpoint of JK are given. Find the coordinates of the other endpoint. J(7,2) and M(1,-2)

djverab [1.8K]

Step-by-step explanation:

Xj + Xk/2 = Xm

7 + Xk/2 = 1

to get rid of the bracket, multiply all two sides by the denominator.

2(7 + Xk/2) = 1(2)

7 + Xk = 2

Xk = 2 - 7

Xk = -5

Yj + Yk/2 = Ym

2 + Yk/2 = -2

to get rid of the bracket, multiply all two sides by the denominator.

2(2 + Yk/2) = -2(2)

2 + Yk = -4

Yk = -4 - 2

Yk = -6

Therefore the coordinates of point K is (-5,-6)

3 0

3 years ago

{x | x is the reciprocal of a natural number}

Genrish500 [490]

Answer:

x∈(0,1], x is natural number.

8 0

3 years ago

Students in a middle school must choose to take either Band or Chorus. In a given academic year, 60% of the pupils choose Band a

grigory [225]

Pupils that chose Band: 60%
Pupils that chose Chorus: 40%
Boys in band: 70%
Boys in chorus: 30%
Probability of choosing boy = Probability of boy in band + Probability of boy in chorus
P = 0.6 x 0.7 + 0.4 x 0.3
P = 0.54
The answer is D.

3 0

3 years ago