All categories

3 years ago

A set has 12 elements how many subsets

Mathematics

1 answer:

Reika [66]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

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

3 years ago

In △QRS, QR ‖ TU. Given that TQ=6, ST=10, and UR=15, find SU.

tresset_1 [31]

Answer:

SU=25

Step-by-step explanation:

We can set up a ratio as STU and SQR are similar because of the SAS similarity theorem.

TQ:SQ

SQ=ST+TQ=10+6=16

6:16=3:8

Therefore the ratio of STU:SQR is 3:8

We can use this to find SU

UR:SR=3:8

15:SR=3:8

Cross multiply

3SR=120

SR=40

SU=SR-UR

SU=40-15

SU=25

8 0

3 years ago

What multiplys to 3 adds to 6

Basile [38]

3×1=3+3=6 and that your answers

8 0

3 years ago

What is the difference between csc and arcsin

Korolek [52]

Arcsin is the inverse function of sine, it switches the sine function (reverses it)
cosec is the reciprocal of sine

3 0

3 years ago

Ryan, Jesse, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. W

Vitek1552 [10]

Answer:

They used the wrong method

7 0

3 years ago