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3 years ago

PLEASE HELP!! I need help on problems #5, #6, #9, #10 Picture attached Thank you!

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

5. TS ≅ ML

6. ∠N≅∠U

9. m∠P = 80°

10. QR = 3

Step-by-step explanation:

The congruent symbol ≅ indicates that the two shapes have the same angle and side lengths.

5. TS are the third and second letter in RSTUV. The third and second letters in KLMNO are ML. TS ≅ ML

6. N is the fourth letter in KLMNO. The fourth letter is RSTUV is U. ∠N≅∠U

9. ∠P is congruent to ∠W. Notice they are both on the longer side and the wider angle. Since m∠P ≅ m∠W, and m∠W = 80°, then m∠P = 80°

10. QR is congruent to XY. They are both the shortest sides of the shape. QR ≅ XY and XY = 3, then QR = 3

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aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0

3 years ago

Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. her office job pay

bulgar [2K]

Lets x = # of hours Melania  works at <span>office clerk
and y = </span># of hours Melania  works as a <span>cashier

x + y = 38 so x = 38 - y
13x + 9.25y = 434

substitute </span> x = 38 - y into 13x + 9.25y = 434

13x + 9.25y = 434
13(38 - y) + 9.25y = 434
494 - 13y + 9.25y = 434
-3.75y = -60
y = 16
x = 38 - y so x = 38 - 16 = 22

answer
Melania  works at office clerk = 22 hours
Melania  works as a cashier = 16 hours

7 0

3 years ago

The owner of the Rancho Grande has 3,060 yd of fencing with which to enclose a rectangular piece of grazing land situated along

Pavel [41]

Answer:

1170450 yd^2

Step-by-step explanation:

The first thing is to calculate the necessary perimeter, which would be like this:

2 * a + b = 3060

if we solve for b, we are left with:

b = 3060-2 * a

Now for the area it would be:

A = a * b = a * (3060-2 * a )

A = 3060 * a -2 * a ^ 2

To maximize the area, we calculate the derivative with respect to "a":

dA / da = d [3060 * a -2 * a ^ 2

]/gives

dA / day = 3060 - 4 * a

If we equal 0:

0 = 3060 - 4 * a

4 * a = 3060

a = 3060/4

a = 765 and d

Therefore b:

b = 3060 - 2 * a = 3060 - 1530 = 1530

A = a * b

A = 765 * 1530

A = 1170450 and d ^ 2

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2 years ago

How do you divide 4/3 by 1.5

bixtya [17]

Answer:

0.9

Step-by-step explanation:

4/3 by 1.5

to divide 4/3, we have to convert it to decimal too

so 4/3 = 1.333 repeatedly

4/3 by 1.5=1.333/1.5

0.8886

0.9 approximately

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3 years ago

Read 2 more answers

Find the slope of the line through each pair of points. (17,-6),(-11,7)

jeka57 [31]

Slope is rise over run or
(y1-y2)/(x1-x2)

(x,y)
x1=17
x2=-11
y1=-6
y2=7

slope=(-6-7)/(17-(-11))=(-13)/(17+11)=(-13)/(28)=

the slope is -13/28

8 0

3 years ago