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2 years ago

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A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equal

s the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number. 17 units2 24 units2 54 units2 94 units2

1 answer:

ser-zykov [4K]2 years ago

3 0

Step-by-step explanation:

Given that,

Sides of a triangle is 4 units, 6 units, and 7.21 units.

We need to find the area of a circle with a circumference that equals the perimeter of the triangle.

Perimeter of triangle = circumference of circle

4+6+7.21=2πr, r is the radius of circle

r = 2.73 units

Area of circle,

$A=\pi r^2\\\\A=3.14\times (2.73)^2\\\\A=23.402\ \text{units}^2$

or

A = 24 sq units

So, the area of the circle is 24 square units.

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Part A: [<span>P + (A + G) - M

</span>Part B: [0.75 + (0.25 + 0.30) - 0.20] = 1.1

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2 years ago

Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented

sp2606 [1]

Answer: The answer is $A_o=2\pi\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.$

Step-by-step explanation: Given that the area of the whole circle is represented by the expression

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$A_c=\pi r^2\\\\\Rightarrow \dfrac{22}{7}r^2=25x^2-12x-9\\\\ \Rightarrow r^2=\dfrac{7}{22}(25x^2-12x-9)\\\\\Rightarrow r=\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.$

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2 years ago

1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880

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Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

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Remember that

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we have

$r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft$

assume

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substitute

$V=(3.14)(6)^{2}(\frac{13}{6})$

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therefore

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2 years ago

Mr Chua borrows a sum of money from the bank which charges a compound interest of 4.2% per annum, compounded 6.Given that Mr Chu

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Answer:

Original sum of money = $2246.51

Step-by-step explanation:

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$\text{Future Value = }Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}\\\\\text{Substituting this value in equation (1) , We get }\\\\Interest=Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}-Principal\\\\\implies 96.60=Principal[\cdot (1+\frac{4.2}{100\times 6})^{6\cdot 1}-1]\\\\\implies Principal=\$2246.51$

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4 0

2 years ago

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

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h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

5 0

2 years ago

Read 2 more answers