Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
Answer:
1. 6
2. 24
Step-by-step explanation:
Substitute in the values for <em>t</em> and solve the expression.
Answer:
$ 9.5
Step-by-step explanation:
total money is $20
on lunch = 1/8 × 20 = 5/2 = $2.5
on movies = 2/5 × 20 = $8
total spent = 2.5+8 =$ 10.5
left money = 20-10.5 = $ 9.5
Answer:
Paula get
and Kawai get
.
Step-by-step explanation:
Given: Paula and Kawai shared
in the ratio of
.
To find: How much money did each person get?
Solution:
We have,
Paula and Kawai shared
in the ratio of
.
So, let Paula get
and Kawai get
.
As per the question,



Therefore, Paula get
, and Kawai get
.
Hence, Paula get
and Kawai get
.
Answer:
? = 4.29
Step-by-step explanation:
Remark
Let x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.
Equation
14/(14+ 4) = 15/(x + 15) Combine like terms on the left
14/18 = 15/(x + 15) Cross multiply
14*(x + 15) = 18 * 15 Simplify the right
14(x + 15) = 270 Divide by 14
x + 15 = 270 / 14
x + 15 = 19.29 Subtract 15 from both sides
x = 19.29 - 15
x = 4.29