3 years ago

The complement of an angle is 25°. What is the measure of the angle?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

3 0

65 degrees.

90 - 25 = 65

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A microwave oven costs $124.85 before it is marked down. If it is marked down by 63%, what is its new price, to the

Aleksandr [31]

Answer:

D ($46.19)

Step-by-step explanation:

$124.85 * (100% - 63%)

= $124.85 * 37 %

= $124.85 * 0.37

= 46.1945

= $46.19 (to the nearest cent)

Hope this helped!

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Type the correct answer in each box.

Leokris [45]

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Find an equation of the sphere with center (−2, 3, 7) and radius 7.What is the intersection of this sphere with the yz-plane?

masya89 [10]

Answer:

The equation of the sphere with center (-2, 3, 7) and radius 7 is $(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$ .

The intersection of the sphere with the yz-plane is $(y-3)^{2}+(z-7)^{2} = 49$ .

Step-by-step explanation:

We know that any sphere can be represented by the following equation:

$(x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}$

Where:

$h$ , $k$ , $s$ - Coordinates of the center of the sphere, dimensionless.

$r$ - Radius of the sphere, dimensionless.

If $(h,k, s) = (-2,3,7)$ and $r = 7$ , we obtain this expression:

$(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$

The intersection of the sphere with the yz-plane observe the following conditions:

$x = 0$ , $y \in \mathbb {R}$ , $z\in \mathbb{R}$

Hence, the expression above can be reduced into this:

$(y-3)^{2}+(z-7)^{2} = 49$

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In which choice is

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I think the answer is C

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Help with these questions please

kramer

what questions are you talking about?

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