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3 years ago

IM GONNA GIVE 69420 COOKIES TO THE PERSON WHO GETS TRHIS QUESTION CORRECT

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Answer:

z = 104 degrees

y = 34 degrees

Step-by-step explanation:

The angle to the left of z must be 76 Degrees as it’s an alternating angle with the 76 Degree angle on the left. It must combine with z to form 180 degrees so it’s 104 degrees.

The angle below z must also combine with z to give 180 degrees so it’s 76.

5y - 94 = 76

5y = 76 + 94

5y = 170

Y = 170/5

y = 34

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pleaseeee help!!! What is the 21st term in the arithmetic sequence in which a3 is 59 and a7 is 103 (enter only the term)

GuDViN [60]

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

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3 years ago

A triangular brace has an angle measure of 92 degrees, with a side opposite this angle measuring 10 inches. The base of the tria

vova2212 [387]

I think the answer is D

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3 years ago

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The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7

Fofino [41]

Answer:

a) 0.69

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Step-by-step explanation:

Step(i):-

Given mean of the Population = 54.6 inches

Given standard deviation of the Population = 5.7 inches

Let 'X' be the random variable of normal distribution

Let 'X' = 51.75 inches

$Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5$

Step(ii):-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = P(Z>-0.5)

= 1 - P( Z < -0.5)

= 1 - (0.5 - A(-0.5))

= 1 -0.5 + A(-0.5)

= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)

= 0.5 +0.1915

= 0.6915

Conclusion:-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

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3 years ago

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a

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Answer

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Step-by-step explanation:

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3 years ago

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3) Calculate the size of each exterior angle in:

kramer

Answer:

40° and 9°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

If the polygon is regular then the measure of each exterior angle is

$\frac{360}{n}$ ← where n is the number of sides

(a) for a regular 9 sided polygon

exterior angle = $\frac{360}{9}$ = 40°

(b) for a regular 40 sided polygon

exterior angle = $\frac{360}{40}$ = 9°

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4 years ago