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Lubov Fominskaja [6]
3 years ago
10

Sin^2 (x)= 3/4 solve the equation for 0

Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

x= π/3,  2π/3, 4π/3,  5π/3

Step-by-step explanation:

Sin^2 (x) = 3/4

Or, Sin^2 (x) - 3/4= 0

Or, Sin^ (x) - ( root 3/ 2)^ 2 = 0 ( Transformed 3/4 into √3/2 format so that if we square it, the value doesn't change)

Or, (Sin (x) + √3/2) (Sin (x) - √3/2) = 0

Or, Sin (x) =  ± (√3/2)

Hence, x= π/3, 2π/3, 4π/3,  5π/3 as the range is between 0 to 360 degree.

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The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
3 years ago
Katy has a choice. She can buy a book of 6 round trip bus tickets from
Ne4ueva [31]

Answer:

buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87

Step-by-step explanation:

6 0
2 years ago
there are 300 student and teachers at a sports event.Grade k to 2 is students: 137 Grade 3 to 5 students: 145 Teachers: ? what i
AVprozaik [17]

Answer:

6%

Percentage of teachers = 6%

Step-by-step explanation:

Given;

Number of grade k-2 students = 137

Number of grade 3-5 students = 145

Total = 300

Number of teachers = 300 - (137+145) = 18

Percentage of teachers = (number of teachers÷total)× 100%

%T = (18/300) × 100

%T = 6%

8 0
3 years ago
A. ?? <br> B. ?? <br> C. ??<br> Please help me!!!
patriot [66]
Bonjour!

For A, the two angles are congruent by the Corresponding Angles are Congruent Theorem/Postulate.

For B, the two angles are congruent by the Vertical Angels are Congruent Theorem/Postulate.

As for C, the two angles are congruent by the Same Side Exterior Theorem/Postulate.(Though I am uncertain if that is the correct name for this one)

Hope that helps :)
4 0
3 years ago
Problem The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a
Gre4nikov [31]
The volume is about 7234.56 cubic mm.

I assume the radius is 12 mm, it must have been repeated accidentally.

To find the volume of a sphere, we cube the radius, multiply by pi and finally multiply by 4/3.

We are the steps:

(12^3) = 1728 x pi (3.14)  = 5425.92 x (4/3) = 7234.56
6 0
3 years ago
Read 2 more answers
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