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bearhunter [10]
3 years ago
11

We can use the formular-

Mathematics
1 answer:
german3 years ago
7 0

Answer:

r = 4.24 inches

Step-by-step explanation:

Given that,

The surface area of the ball, A = 226.8 sq inches

The formula for the surface area of a sphere is given by :

A=4\pi r^2

Where

r is the radius of the ball

r=\sqrt{\dfrac{A}{4\pi}} \\\\r=\sqrt{\dfrac{226.8}{4\pi}} \\\\r=4.24\ inch

So, the radius of the ball is 4.24 inches.

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)
Savatey [412]

Answer:

a\cdot b\cdot c=\frac{15}{4}

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

y-k=a(x-h)^2

Substitute the values

y-(-2)=a(x-(-3))^2=a(x+3)^2

y+2=a(x+3)^2

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

0+2=a(-1+3)^2=4a

a=2/4=1/2

Now, using the value of a

y+2=1/2(x+3)^2=1/2(x^2+6x+9)

y+2=\frac{1}{2}x^2+3x+\frac{9}{2}

y=\frac{1}{2}x^2+3x+\frac{9}{2}-2

y=\frac{1}{2}x^2+3x+\frac{9-4}{2}

y=\frac{1}{2}x^2+3x+\frac{5}{2}

By comparing with

y=ax^2+bx+c

We get

a=\frac{1}{2}, b=3, c=5/2

a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}

a\cdot b\cdot c=\frac{15}{4}

7 0
2 years ago
Regina has 24 inches of ribbon for a craft project. Tommy has 2 yards of ribbon. Choose the true statement below. (1 yard = 3 fe
seropon [69]

Answer:

f

Step-by-step explanation:

because 24 inches is 2 feet and 2 yards is is 6 feet

3 0
3 years ago
Carl went to the store to buy items for his party.He bought two packs for plates for $3.24 and a pack of cups for $5.70. He also
Andre45 [30]

3.24 + 5.70 + 6.17 = 15.11

20.00 - 15.11 = 5.11

He got 5.11$ of change back.

7 0
3 years ago
Evaluate the numericial expression (32 - 20) ÷ 4
SashulF [63]

Answer:

3

Step-by-step explanation:

(32-20)÷4

solve perentisis first

(12)÷4

now divide

=3

3 0
3 years ago
Read 2 more answers
The $99.99 digital camera Mia purchased was on sale for 15% off. What
notka56 [123]

Answer:

84.99

Step-by-step explanation:

5 0
3 years ago
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