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Cloud [144]
2 years ago
14

Find the volume of this

Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

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Find the value of Sin^-1(-√3/2)
garri49 [273]

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

6 0
2 years ago
A political polling organization wishes to select a smaller focus group from a group of 7 Republicans, 10 Democrats, and 2 Indep
Alina [70]

Answer:

a) 1470 ways

b) 2835 ways

Step-by-step explanation:

the question is not correct, in the correct question The number of independents should be 3 not 2

there are 7 republicans, 10 democrats and 3 independents.

C(n,r) is the number of different combinations of n distinct objects taken r at a time.

C(n,r) = \frac{n!}{(n-r)!r!}

a) it will consist of 1 Republican and 4 Democrats

The number of ways this can be chosen is = C(7,1) × C(10,4) = \frac{7!}{(7-1)!1!}  * \frac{10!}{(10-4)!4!} = 7 × 210 = 1470 ways

(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)

The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)

 =\frac{7!}{(7-2)!2!}  * \frac{10!}{(10-2)!2!}* \frac{3!}{(3-2)!2!} = 21 × 45 × 3 = 2835 ways

7 0
3 years ago
Regina wrote an integer The opposite of her integer is -18
My name is Ann [436]

Answer: C

Step-by-step explanation: The opposite of a positive integer (18) is -18

Which also means its value is 18

Hope this helps!

4 0
2 years ago
Find the equation of the line.
malfutka [58]

Answer:

y = 2/3x + 4

Step-by-step explanation:

Start off with the linear equation

y = mx+ b

Find the slope with two points:

(3,6), (-6,0)

y2-y1/x2-x1

-6/-9 = 2/3

y = 2/3 x + b

6 = 2 + b

b = 4

y = 2/3 x + 4  

5 0
2 years ago
Read 2 more answers
The sum of 4 consecutive integers is -26.What are the integers
AnnZ [28]

Answer:

-38/4, -2 38/4, -4 38/4, -6 38/4

Step-by-step explanation:

x+(x+2)+(x+4)+(x+6) = -26

4x+12=-26

4x= -38

x=-38/4

7 0
3 years ago
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