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3 years ago

9/8 divided by 3/8 3/5 divided by 2/3

1 answer:

8 0

9/8 divided by 3/8 is 3 (because of the same denominator look at the first number)

3/5 divided by 2/3 is 0.9 hope this helps

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Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.

WARRIOR [948]

Answer:

3rd option

Step-by-step explanation:

Using the identities

cot x = $\frac{1}{tanx}$

csc² x = 1 + cot² x

Given

tanθ = $\sqrt{3}$ , then cotθ = $\frac{1}{\sqrt{3} }$

csc²θ = 1 + ( $\frac{1}{\sqrt{3} }$ )² = 1 + $\frac{1}{3}$ = $\frac{4}{3}$

cscθ = ± $\sqrt{\frac{4}{3} }$ = ± $\frac{2}{\sqrt{3} }$

Since θ is in 3rd quadrant, then cscθ < 0

cscθ = - $\frac{2}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = - $\frac{2\sqrt{3} }{3}$

8 0

3 years ago

A piggy bank contains only quarters and dimes. A representative sample has 6 quarters and 2 dimes. If there are 56 coins in the

nadezda [96]

Answer:

Step-by-step explanation:

Method- 56-25=31-25=6

I subtracted 25 until I cant no more so I only did it 2 times so 2 quarters are in the piggy bank.

Quarters-2

Then since the remainder was 6 that means there was only 1 penny and 1 nickel.

Pennies- 1

Nickels-1

8 0

3 years ago

7. What is the cardinality of each of the following sets?

zysi [14]

Answer:

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation: We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So, the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0

3 years ago

The first bricklayer can build a wall in 15 days. the second bricklayer can build the same wall in 10 days. how long will it tak

SSSSS [86.1K]

Around 8 4/7 days is what it takes

7 0

2 years ago

Read 2 more answers

I need help!!!! I don’t understand and it’s very confusing

irga5000 [103]

Answer:

Step-by-step explanation:

I explained in my last answer but someone deleted it

5 0

3 years ago