1 Fifty-five students, 4 teachers, and 3

A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

MAXImum [283]

Answer: A, because the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . So, if the point of the center is $(5,7)$ and the radius $2$ , then on the equation should be changed as negative and the radius should be multiplied as $4$ , which is $(x-5)^2+(y-7)^2=4$

6 0

3 years ago

Consider the problem 208.4 x 396.51. If I round 208.4 down to the nearest hundreds place and I round 396.51 up to the nearest hu

WARRIOR [948]

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

6 0

3 years ago

Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.

murzikaleks [220]

Answer:

no

Step-by-step explanation:

Steps to answering this question

determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

3 0

3 years ago

D=rt for t<br><br> Solve the equation

Wittaler [7]

Answer:

d = r * t

t = d / r

7 0

3 years ago

In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by lightning. Estimate the prob

umka2103 [35]

Answer:

$\frac{19}{18,750,000}=0.0000010133333333$

Step-by-step explanation:

We have been given that in a recent year, 304 of the approximately 300,000,000 people in the United States were struck by lightning.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

$\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{304}{300,000,000}$

$\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{19}{18,750,000}$

$\text{P( A randomly selected person in the United States will be struck by lightning this year)}=0.0000010133333333$

Therefore, the probability that a randomly selected person in the United States will be struck by lightning this year is $\frac{19}{18,750,000}=0.0000010133333333$ .

6 0

4 years ago

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