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2 years ago

What is equal to sin21

Mathematics

1 answer:

cluponka [151]2 years ago

5 0

Sin is opposite/hypotenuse, so find the opposite side to that angle and divide that by the hypotenuse.

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).

sleet_krkn [62]

Answer:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

Step-by-step explanation:

The general equation of a sphere is as follows:

$(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}$

In which the center is $(x_{c}, y_{c}, z_{c}$ , and r is the radius.

In this problem, we have that:

$x_{c} = 3, y_{c} = 8, z_{c} = 1$

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}$

through the point (4,3,-1)

This leads us to find the radius.

$(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}$

$r^{2} = 1 + 25 + 4$

$r^{2} = 30$

So the equation of the sphere is:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

6 0

2 years ago

Express the function graphed on the axes below as a piecewise function.

kobusy [5.1K]

Answer:

Step-by-step explanation:

3x+ 1/3 for x<= -1

6x-27 for x >4

3 0

2 years ago

Como simplificar 50/100

kotegsom [21]

Answer: 1/2

Step-by-step explanation:

50/100 --> divide top and bottom by 50 to get...

1/2

5 0

3 years ago

Write the coordinates of the vertices after a reflection over the x-axis. 1072

Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

$(x,y)\rightarrow(x,-y)$

Determine the coordinates of the vertices after reflection over the x-axis.

$Q(6,-8)\rightarrow Q^{\prime}(6,8)$ $R(7,-8)\rightarrow R^{\prime}(7,8)$ $S(7,-5)\rightarrow Q^{\prime}(7,5)$ $T(6,-5)\rightarrow T^{\prime}(6,5)$

6 0

7 months ago

What’s another way to write the equation (40x4)-(32x4)=32

zysi [14]

Answer:

160-128=32

Step-by-step explanation:

distribute what is in the parentheses

7 0

1 year ago