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madam [21]
3 years ago
8

Can someone help me find the area of this circle and round to the nearest tenth

Mathematics
1 answer:
larisa [96]3 years ago
8 0

the circle has a diameter of 12, thus its radius is half that, or 6.


\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \\\\\\ A \approx 113.0973355\implies A=\stackrel{\textit{rounded up}}{113.1}

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Find the volume of the entire figure to the nearest whole number. Use 3.14 for Pi.
Alja [10]

Answer:

1733.28 m³ or approximately 1733 m³

Step-by-step explanation:

Cone - 1/3πr²h

Cylinder - πr²h

Cone - 1/3(3.14)(6)²(10) ⇒ 376.8

Cylinder - (3.14)(6)²(12) ⇒ 1356.48

1356.48 + 376.8 = 1733.28 m³

Approximately 1733 m³

4 0
3 years ago
'The length of a rectangle is 6 feet more than three
olga_2 [115]

Answer:

length : 15 ft

width : 3 ft

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 36

l = 3w + 6

=> 2×(3w+6) + 2w = 36

6w + 12 + 2w = 36

8w = 24

w = 3

=> l = 3w + 6 = 3×3 + 6 = 9+6=15

3 0
2 years ago
What’s the equation in vertex form?
pshichka [43]

Answer:

\large\boxed{y=(x+5)^2-64}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64

8 0
3 years ago
Solve the equation.<br> 25.14 = d + (-15.3)<br> 0 40.44<br> 0 -9.84<br> O 9.84<br> -40.44
Gnom [1K]

Answer:

d = 40.44

Step-by-step explanation:

Simplifying

25.14 = d + (-15.3)

25.14 = d + -15.3

Reorder the terms:

25.14 = -15.3 + d

Solving

25.14 = -15.3 + d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1d' to each side of the equation.

25.14 + -1d = -15.3 + d + -1d

Combine like terms: d + -1d = 0

25.14 + -1d = -15.3 + 0

25.14 + -1d = -15.3

Add '-25.14' to each side of the equation.

25.14 + -25.14 + -1d = -15.3 + -25.14

Combine like terms: 25.14 + -25.14 = 0.00

0.00 + -1d = -15.3 + -25.14

-1d = -15.3 + -25.14

Combine like terms: -15.3 + -25.14 = -40.44

-1d = -40.44

Divide each side by '-1'.

d = 40.44

Simplifying

d = 40.44

5 0
2 years ago
Read 2 more answers
Can you help me cause I’ve been struggling
Serhud [2]

Answer:

-8

Step-by-step explanation:

Hope it helps you.

Can you mark my answer as a Brainliest Please

8 0
3 years ago
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