2 years ago

#6,7. Fill in the blank. Then show or explain how your answer works.

Mathematics

1 answer:

nika2105 [10]2 years ago

5 0

69 because yeahhhhhhhhh

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

2 years ago

P pennies added to 22 pennies

taurus [48]

23 Pennie’s is the answer I believe

7 0

2 years ago

Find ten rational numbers between -2/3 and 2/3

Mama L [17]

Answer:

-2/3= -20/30

2/3 = 20/30

so rational numbers in between are

-19/30, -18/30, -17/30,........ -1/30, 0,+1/30,.............+17/30, +18/30, +19/30

so you can write as many as you like

8 0

2 years ago

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr

Shkiper50 [21]

The approximate probability that the code only contains odd numbers is 0.02381.

3 0

3 years ago

Read 2 more answers

Find the perimeter of the figure to the nearest hundredth.

Kobotan [32]

Answer:

65.12 mm

Step-by-step explanation:

Circumference of semicircle = 8π mm

Perimeter = (40 + 8π) = 65.12 mm

7 0

3 years ago