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guajiro [1.7K]
3 years ago
9

Csc x=2, for 0 less than or equal to x less than or equal to pi/ 2

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

x = π/6

Step-by-step explanation:

csc x=2

-> 1/sinx = 2

-> sin x = 1/2

x = π/6 or x =2π/3

for 0 less than or equal to x less than or equal to pi/ 2

-> x = π/6

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James earned $39,600 last year. He paid $11,250 towards rent and $1,422 in car payments. What percent of his earnings did Jon pa
tester [92]
Step 1:
Add rent & car payments

=11,250+1422
=$12,672

Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100

12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
32%= x

OR

Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places

His rent and car payments are 32% of his earnings.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Consider the following equations and name the property of equality used to solve for the variable.
Anestetic [448]

Answer:

Subtraction property ; x = 3.25

Division property ; - 6

multiplication property ; - 125

Addition property ; 13

Step-by-step explanation:

A.)

x + 3.75 = 7

Using the subtraction property : subtract 3.75 from both sides

x + 3.75 - 3.75 = 7 - 3.75

x = 3.25

B. )

–3b = 18

According to the division property :

Divide both sides by - 3

-3b / - 3 = 18 / - 3

b = - 6

C.)

m/5 = - 25

Using the multiplication property :

m/5 * 5 = - 25 * 5

m = - 125

D.)

m – 4 = 9

Using the addition property :

Add 4 to both sides :

m - 4 + 4 = 9 + 4

m = 13

8 0
3 years ago
Find x please!!<br> a.10<br> b.32<br> c.116<br> d.16
AysviL [449]

9514 1404 393

Answer:

  (d)  16

Step-by-step explanation:

Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:

  2x = 32

  x = 16 . . . . . . divide by 2°

5 0
3 years ago
The vertex of the graph of a quadratic function is (3, 1) and the y-intercept is (0, 10). Which of the following is the
pishuonlain [190]

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)^2+k (h,k) is vertex

Y=a (x-3)^2+1

Plug in y intercept

10=a (0-3)2+1

10=-3^2a+1

10=9a+1

9=9a

A=1

Y=(x-3)2 +1

Y=x2-6x+9+1

Y=x2-6x+10

brainly.com/question/3584775#citedsource

3 0
3 years ago
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Liam is deciding which of two gyms to join. Each gym charges a monthly rate plus one-time membership fee. Liam correctly wrote a
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Liam can conclude that the cost of the memberships for both gyms are equal.
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