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almond37 [142]
3 years ago
7

Which equation is correct?

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

D) arccsc (x) = arcsin (1/x)

Step-by-step explanation:

Here's how you can prove it: Consider a right triangle with hypotenuse 1 and a side length 1/x.  If θ is the angle opposite of 1/x, then:

sin θ = 1/x

and

csc θ = x

Solving for θ:

θ = arcsin (1/x)

θ = arccsc (x)

Therefore:

arccsc (x) = arcsin (1/x)

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What is the exact volume of a sphere with a diameter of 36 in.?
Contact [7]
The volume of a sphere:
V=\frac{4}{3} \pi r^3
r - the radius

The diameter is twice the radius.
d=36 \ in \\
r=\frac{36}{2} \ in = 18 \ in \\ \\
V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]

The exact volume of the sphere is 7776π in³.
5 0
3 years ago
En is 80 years old and her grandson mark is 5 years old. in how many years will jen be 4 times older than mark?
Harlamova29_29 [7]
It would be 20 years because if En is 100 Mark will be 25. 25 times 4 is equal to 100
6 0
3 years ago
What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 8
Ivanshal [37]

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

5 0
2 years ago
Use the distributive property and the greatest common factor to rewrite the sum 25 + 60.
Kitty [74]
The factors of 25 and 60 would be 5. 25 divided by 5 is 5 and 60 divided by 5 is 12. 

So here is what the distributive property looks like.

a(b+c)=a*b+a*c  but we are going to rewrite a*b and a*c as 5*5 and 12* 5

a(b+c)=5*5+12*5

So i'd say its 5*5+5*12  i hope this helps
7 0
2 years ago
Read 2 more answers
Which expression is equivalent to |a| &lt; 3?
katen-ka-za [31]

Answer:

1. a ≥ -3 and a ≤ 3

I am assuming you mean to have an = sign as well

Step-by-step explanation:

|a| < =3

we get two solutions, one positive and one negative

remember to flip the inequality for the negative

a<=3 and a >= -3


8 0
3 years ago
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