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sashaice [31]
3 years ago
15

Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

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Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
2 years ago
B. How many faces does a cube have? 아​
Olin [163]

Cube have 6 faces.

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4 0
2 years ago
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Evaluate the expression below:
Olin [163]

Answer:

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2 years ago
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1. In winter with heavy snow,
inna [77]

Answer:

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Step-by-step explanation:

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3 years ago
In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?
scZoUnD [109]
Hat means y + z = 180. 

<span>y is thrice than z means y = 3 * z. </span>

<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>

<span>combine like terms to get 4 * z = 180. </span>

<span>solve for z to get z = 180 / 4 = 45 degrees. </span>

<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>

y = 135
<span>z = 45 </span>

y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>

<span>solution is confirmed to be good.</span>
3 0
3 years ago
Read 2 more answers
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