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3 years ago

Which of the the coordinates is equal to sin (4pi/5) ?

Mathematics

1 answer:

Aloiza [94]3 years ago

4 0

Answer:

Step-by-step explanation:

π/2 < 4π/5 < π

4π/5 is in Quadrant II

sin(4π/5) = y-coordinate of A

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Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.

Vedmedyk [2.9K]

We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²−2x−4y+8z+17=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
Complete the square. Remember to balance the equation by adding the same constants to each side
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units

4 0

3 years ago

2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are t

Ber [7]

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that $x + y = 50$

The number of females is 2 more than 5 times the number of males.

This means that $x = 5y + 2$

So, finding y, the number of males:

$x + y = 50$

$5y + 2 + y = 50$

$6y = 48$

$y = \frac{48}{6}$

$y = 8$

Females:

$x = 5y + 2 = 5*8 + 2 = 42$

There are 8 males in the class and 42 females.

7 0

2 years ago

An old home has a very steep roof. For every four feet of run, it has three feet of rise. What is the pitch or slope of the roof

RUDIKE [14]

Hey there!

$\large\boxed{\frac{3}{4} \:\:or\:\: 0.75}$

The formula for slope is rise over run.

If the rise is 3 feet and the run is 4 feet, then the slope, or the pitch, is 3/4.

This can be written in decimal form as 0.75.

Hope this helps!

5 0

3 years ago

Log (x + 20) – log (x + 1) = log 18 - Rewrite the given equation without logarithms.

mel-nik [20]

(x+20)-(x+1)=18
x+20-x-1=18
19=18
It has no solution

3 0

3 years ago

Write the pair of fractions as a pair of fractions with a common denominator 3/10 and 2/5

Oduvanchick [21]

The answer is 3/10 and 4/10.

5 0

3 years ago

Read 2 more answers