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3 years ago

Find the values of the missing angles HELP PLEASE DO ANY! I’ll give you brilliance

Mathematics

1 answer:

yan [13]3 years ago

3 0

Answer:

1) x = 42 ; y = 42

2) x = 72 ; y = 48 ; z = 60

Step-by-step explanation:

x + 42 + 96 = 180

x + 138 = 180

x = 42

y + 42 + 96 = 180

y + 138 = 180

y = 42

x + 108 = 180

x = 72

y + 132 = 180

y = 48

z + x + y = 180

z + 72 + 48 = 180

z + 120 = 180

z = 60

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I need this ASAP! <br> Evaluate: (-10) + 30 ÷ 5 x 2(-7 +5)<br> Will give Brainliest!

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Answer:

-34

Step-by-step explanation:

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3 years ago

From each of two normal populations with identical means and with standard deviations of 6.40 and 7.20, independent random sampl

LiRa [457]

Answer: 0.31207

Step-by-step explanation: from the question, the distribution follows a normal distribution and population mean of both data set are equal.

I will also assume a 5% level of significance since any level of significance was not given in the question.

Population standard deviation of the first population (σ1) = 6.40

Population variance of the first population (σ1)² = 40.96

Population standard deviation of the second population (σ2) = 7.20

Population variance of the second population (σ2)² = 51.84

Sample size of first population (n1) = 64

Sample size of second population (n2) = 64

Difference between sample mean (x1 - x2) = 0.6.

Since population standard deviation is known, z test is used in getting the z score and a normal distribution table is used in getting the probability attached to the z score.

Z = (x1 - x2) /√{(σ1)²/n1 + (σ2)²/n2}

By substituting parameters, we have

Z = 0.6/√(40.96/64) + (51.84/64)

Z = 0.6/ √0.64 + 0.81

Z = 0.6/√1.45

Z = 0.6/1.2041

Z = 0.49

Since our difference in sample mean is greater than zero, it means that the probability of the z score (z=0.49) must be that of the one greater than 0.49 which is area towards the right of the distribution.

Do note that the probability value under z score to the left + probability value under z score to the right = 1

The table I'm using here is only giving probability of z scores toward the left (z<0.49)

Hence z>0.49 = 1 - z<0.49

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z>0.49 = 1 - 0.68793

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6 0

3 years ago

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

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4 years ago

Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.

maks197457 [2]

Step-by-step explanation:

At least 30 miles but less than 50 miles each week.

<u>Required inequality:</u>

30 ≤ x < 50

<u>In 4 weeks:</u>

120 ≤ 4x < 200

"At least" means equal or more than 30, hence 30 ≤ x
Less than 50, hence x < 50

At least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.

<u>Match the lowest and highest ends. This is converted as:</u>

8*$2.25 ≤ m ≤ 12*$2.50

<u>Simplified:</u>

$18 ≤ m ≤ $30

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3 years ago

The median number of coloring contests won by 4 kids in a certain year is 5. The range of number of contests won by those kids t

Orlov [11]

True
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3 years ago