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bearhunter [10]
3 years ago
11

Solve the equation for y. x+y=7

Mathematics
2 answers:
Degger [83]3 years ago
7 0
I got x+y=7
solving for y
Aleksandr-060686 [28]3 years ago
4 0

Answer:y=7-x

Step-by-step explanation:

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In the interval 0° < x < 360°, find the values of x for which sin x = 0.6691 Give your answer tot he nearest degree
Neporo4naja [7]

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression  sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) =  sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

8 0
3 years ago
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
3 years ago
What is a1 of the arithmetic sequence for which a3=126 and a64=3,725
Evgesh-ka [11]
D=an-am/n-m
d=a64-a3/64-3
d=3725-126/61=59
a3=a1+2d
126=a1+118
a1=8
7 0
4 years ago
Read 2 more answers
There are 20 percent more goblins than wizards in magic club. There are 120 goblins in magic club.
sineoko [7]

Answer:

144

Step-by-step explanation:

120 x 1.20 = 144

.20 is 20% and adding the 1 adds it to the original value

5 0
3 years ago
A plant in the manufacturing sector is concerned about its sulfur dioxide emissions. The weekly sulfur dioxide emissions follow
egoroff_w [7]

Answer:

The correct option is b) 1.70

Step-by-step explanation:

Consider the provided information.

The weekly sulfur dioxide emissions follow a normal distribution with a mean of 1000 ppm (parts per million) and a standard deviation of 25.

Thus, μ=1000 and σ = 25

The CEO wants to know if the mean level of emissions is different from 1000.

Therefore the null and alternative hypothesis is:

H_0:\mu =1000 and H_a:\mu \neq1000

The sample size is n = 50 and \bar x=1006 ppm.

Now calculate the test statistic by using the formula: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Substitute the respective values in the above formula.

z=\frac{1006-1000}{\frac{25}{\sqrt{50}}}

z=\frac{6}{\frac{25}{\sqrt{50}}}=1.697\approx 1.70

Hence, the correct option is b) 1.70

7 0
3 years ago
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