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meriva
3 years ago
14

A certain legislative committee consists of 10 senators. a subcommittee of 3 senators is to be randomly selected. how many diffe

rent subcommittees are possible
Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

120 different sub committees are possible.

Step-by-step explanation:

This equals the number of combinations of 3 from 10, 10C3.

10C3 =  10! / 7!3!   or we can work it out  as  10*9*8 / 3*2*1 = 120.

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I need help with Geometry
ehidna [41]

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

5 0
2 years ago
Y=x+5<br> y=-2x-4<br> use substitution
blondinia [14]
You have to do Y= -2+5-4
7 0
3 years ago
2 ratios equivalent to 8\3
borishaifa [10]

Some equivalent fractions of 8/3 are:
8/3 = 16/6 = 24/9 = 32/12 = 40/15 = 48/18 = 56/21 = 64/24 = 72/27 = 80/30 = 88/33 = 96/36 = 104/39 = 112/42 = 120/45 = 128/48 = 136/51 = 144/54 = 152/57 = 160/60
3 0
3 years ago
36 is 0.09% of what number
alexgriva [62]
Х-100%
36-0,06%
x=(36*100)\0,06=60000
Answer:60000
8 0
3 years ago
Two interior angles of a triangle each measure 34°. What is the measure of the third interior angle?
lana [24]

Answer:

D. 112

Step-by-step explanation:

Since we know that a triangle totals 180 degrees, we can easily figure out the third angle. Since each measure 34 degrees, simply multiply by 2. You get 68 degrees. Then you do 180-68 to get 112.

4 0
3 years ago
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