Answer:
tangent theta = 12/5,
cosecant theta = 13/12
secant theta = 13/5
Cotangent theta = 5/12
Step-by-step explanation:
Given sine theta= 12/13, cosine theta= 5/13.
According to SOH CAH TOA
Sintheta = Opposite/Hypotenuse = 12/13
Cosine theta = Adjacent/Hypotenuse = 5/13
Opposite = 12, Adjacent = 5, Hypotenuse = 13
Tan theta = Opposite/Adjacent = 12/5.
cosecant theta = 1/sintheta = 1/{12/13}
cosecant theta = 13/12
secant theta = 1/cos theta = 1/{5/13}
Secant theta = 13/5.
Cotangent theta = 1/tan theta = 1/{12/5} = 5/12
Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."
Therefore total distance = 3/4 miles.
"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "
Distance of small sign = 1/12 mile.
We need to find the number of signs in 3/4 miles each of 1/12 miles.
<em>In order to find the number of signs, we need to divide total distance by distance of a small sign.</em>
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
= 9 signs.
<h3>Therefore, 9 signs are needed.</h3>
-2 1/4, -1 1/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|
Answer:
The value of x is 2 and y is (-5)
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- -7x + y = – 19
- -2x + 3y = – 19
<h3><u>To </u><u>Find</u>;</h3>
<h3><u>B</u>y<u> </u><u>Usin</u>g<u> </u><u>Elimination</u><u> </u><u>Method</u>;</h3>
First name the equation
- -7x + y = – 19 ...(1)
- -2x + 3y = – 19 ...(2)
Now, Multiply equation (1) by 3 we get,
3 × (-7x + y = – 19)
-21x + 3y = – 57
Now, Eliminate
-21x + 3y = – 57
-2x + 3y = – 19
<u>+</u><u> </u><u> </u><u> </u><u> </u><u>–</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u> </u>
-19x = -38
x = -38/-19
x = 2
Now, Put the value of x in equation (2) we get the value of y.
-7x + y = – 19
-7(2) + y = – 19
-14 + y = -19
-14 + 14 + y = -19 + 14
y = -5
Thus, The value of x is (-5) and the value of y is 2.
<h3>
<u>For </u><u>Verification</u>;</h3>
-7x + y = – 19
-7(2) + (-5) = – 19
-14 – 5 = – 19
-19 = -19
-2x + 3y = – 19
-2(2) + 3(-5) = – 19
-4 – 15 = – 19
-19 = -19
Here, L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist 72</u>