All categories

3 years ago

The area of a quarter circle is 3.14 square yards. What is the quarter circles radius?

Mathematics

1 answer:

Anton [14]3 years ago

5 0

$\frac{1}{4} \pi \times {r}^{2} = 3.14$

You might be interested in

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was giv

Rom4ik [11]

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

Therefore, 8 weeks would be your answer.

<em>-kiniwih426</em>

7 0

3 years ago

Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve

sweet [91]

A conservative vector field $\mathbf f$ has curl $\nabla\times\mathbf f=\mathbf0$ . In this case,

$\nabla\times\mathbf f=12xy^2z(1-z)\,\mathbf j+4yz^2(2z-3x)\,\mathbf k\neq\mathbf 0$

so the vector field is not conservative.

3 0

3 years ago

point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure

Triss [41]

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

$\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}$

$x = 2 \text{ or }x = 6$

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

5 0

4 years ago

100g of ham for £1.20 or 300g of ham for £3.50

Verdich [7]

Answer:

the 300g is better price for what you get

Step-by-step explanation:

300g = 3.60 (1.20 * 3)

300g = 3.50

4 0

3 years ago

Ram donated 2/3 of his monthly income to an NGO, working for the education of the girls, spent 1/5th of his salary on purchasing

OleMash [197]

Answer:

Step-by-step explanation:

Let Ram's salary = ₹ x

Money donated to NGO = (2/3) of x

Money spent on food items = (1/5) of x

Other expenses = (1/5) of x

Balance amount = ₹ 9000

$x - (\dfrac{2}{3}x+\dfrac{1}{5}x+\dfrac{1}{15}x) = 9000\\\\\\x - (\dfrac{2*5}{3*5}x+\dfrac{1*3}{5*3}x+\dfrac{1}{15}x)=9000\\\\\\x-\dfrac{10x+3x+1x}{15}=9000\\\\\\x-\dfrac{14}{15}x=9000\\\\\\\dfrac{15}{15}x-\dfrac{14}{15}x=9000\\\\\\\dfrac{1}{15}x=9000$

x = 9000 * 15

x = ₹ 135000

5 0

2 years ago