fatima wants to find the value of sin theta, given cot theta equals 4/7. which identity would be best for fatima to use?
Answers
1+cot ²∅=csc² ∅
cot ∅=4/7
so
1+(4/7)²=csc² ∅
csc² ∅=1+(16/49)
csc² ∅=(65/49)
csc ∅=(√65)/7
remember that
csc ∅=1/sin ∅
sin ∅=1/csc ∅------> sin ∅=7/√65-----> sin ∅=(7√65)/65
the answer is
the best identity to find sin ∅ is
1+cot ²∅=csc² ∅
Answer:
D edge
Step-by-step explanation:
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x = 9y
x + 1.5y = 12
x + y = 9
x + 9y = 12
x = 1.5y
9x + y = 12
x = 1.5y
Answers
The system of equations that represents the given statements is
x + 1.5y = 12
x + y = 9
Where x is the number of pencils and y is the number of pens that Shawn bought.
How to write an equation for a statement?
To write an equation:
- Observe the variableterms from the given statement
- Add/subtract required terms according to the word's 'total or difference' given in the statements
- Multiply/divide required terms according to the words 'more or less given the statements
- Equate with the respective values related to the variable term.
Calculation:
Given that,
A pencil at a stationery store costs - $1
and A pen costs - $1.50
Shawn spent $12 at the store. He bought a total of 9 items.
So,
Consider number of pencil = x and number of pens = y
Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9
I.e., x + y = 9 ...(i)
We have cost for a single pencil and a single pen
So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,
1 × x and 1.50 × y
Since it is given that he spent $12 for both pencils and pens, we can write
x + 1.5 y = 12 ...(ii)
Thus, from equations (i) and (ii), the system we can write
x + 1.5 y = 12
x + y = 9
So, option 2 is the correctset of equations for the given system.
Learn more about writing equations from words here:
#SPJ2
Question 2 options:
8b^2 – 16c^6
16e^8 – 81g^4
49x^25 – 4y^16
121m^18 – 9n^10
Answers
(a^2)-(b^2)
if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares
first one
8 is not perfect square
2nd one
(4e^4)^2-(9g^2)^2
third
25 is odd, so it cannot be split up into 2 nice numbers
4th
(11m^9)^2-(3n^5)^2
Answers
Let's use this illustration of shapes to learn more about ratios. How can we write the ratio of squares to circles, or 3 to 6? The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
solve for the values of A and B and C and D with full workings and solution (this problem is from my 5th grade math book, just for fun)
Answers
Answers
We know that 1 euro equals 0.72 pounds. To deduce the inverse conversion, we have to manipulate this equation so that it looks like
"x euros = 1 pound"
If you divide both sides of the equation by 0.72, the pounds coefficient will become 1, and you'll get the amount of euros that equal 1 pound.
Answer:
Step-by-step explanation: