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Olin [163]
2 years ago
10

Match the values based on parallelogram ABCD, shown in the figure. Tiles length of value of value of Pairs 56 arrowBoth 4 arrowB

oth 44 arrowBoth 2 arrowBoth
Mathematics
1 answer:
borishaifa [10]2 years ago
7 0
Given a parallelogram ABCD with the measure of segment BC = (6 - x) units, the measure of segment AD = (x + 2) units.
Angle A measures (100 - y) degrees and angle C measures (12 + y) degrees.

Recall that for a parallelogram, <span>the opposite sides are of equal length and the opposite angles are of equal measure.

From the given parallelogram, segment BC is opposite to segment AD and angle A is opposite to angle C.

Thus, 6 - x = x + 2
2x = 4
x = 2

Therefore, the value of x is 2 and the length of segment BC is 6 - 2 = 4 units.

Similarly, 100 - y = 12 + y
2y = 88
y = 44

Therefore, value of y is 44 and the measure of angle DAB is 100 - 44 = 56 degrees.
</span>
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Match each percent amount to its correct value. Tiles 15% of 30 30% of 45 60% of 7 23% of 20 Pairs 13.5 arrowBoth 4.5 arrowBoth
Over [174]
15% of 30....turn ur percent to a decimal...." of " means multiply
0.15(30) = 4.5

30% of 45.....set it up the same way as before
0.30(45) = 13.5

60% of 7
0.60(7) = 4.2

23% of 20
0.23(20) = 4.6
3 0
2 years ago
Read 2 more answers
Becky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the pa
Sauron [17]
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.
5 0
2 years ago
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

  • 0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

  • V = \frac{2}{3} πr^{3}

Take the derivative of V we have:

\frac{dV}{dr} = 2πr^{2}  

<=> dV = 2πr^{2}*dr

<=> dV = 2π*48^{2} *0.0007 = 10.12 m^{3}

Hope it will find you well.

6 0
2 years ago
Read 2 more answers
Can someone help me?
MariettaO [177]
I hope this helps you



x.3x+x.(-1)+5.3x+5.(-1)-(x^2-2.4.x+16)


3x^2-x+15x-5-x^2+8x-16


2x^2+22x-21
7 0
2 years ago
A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60
s344n2d4d5 [400]

Answer:

0.6

Step-by-step explanation:

Given: Mean= $750

          Standard deviation= $60

First, lets find out z-score of the interval between $624 and $768.

z score= \frac{x-mean}{Standard deviation}

z score= \frac{624-750}{60}= \frac{-126}{60}

∴ z score for $624 is -2.1

Now, finding z score for $768

Z score= \frac{768-750}{60} = \frac{18}{60}

∴ z score for $768 is 0.3

As per the z score table, the value for -2.1 is 0.0179 and for 0.3 is 0.6179

Now, subtracting the value to get proportion

0.6179-0.0179= 0.6

∴ There are 0.6 proportion of laptops are in the range of $624 and $768

         

7 0
2 years ago
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