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kaheart [24]
3 years ago
11

Your friend pulls out a huge home-baked pizza from the oven and tells you the area of the pizza is A=625pi cm squared. What is t

he diameter, d, of this pizza?
Mathematics
2 answers:
Marat540 [252]3 years ago
6 0

It is given that the area of the pizza is

A = 625 \pi

And pizza is of circular shape. And the formula of area of circle is

Area = \pi r^2

Using the given value of area, we will get

625 \pi = \pi r^2 \\ 625 = r^2

Taking square root on both sides,

\sqrt{625} = r \\ r = 25cm

And diameter is double of radius. THerefore diameter is 50 cm .

ira [324]3 years ago
3 0
198.9436789 is the diameter hope this helps!
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Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 1/2 times its abscissa.
rosijanka [135]

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = -\frac{2}{5} x + \frac{19}{5}

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

3 = -\frac{2}{5} (2) + \frac{19}{5}

3 = -\frac{4}{5} + \frac{19}{5}

3 = 15/5

3 = 3

8 0
4 years ago
The anithistamine Benadryl is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Fo
Firdavs [7]

Answer:

56 chewable tablets

280mL liquid Benadryl

Step-by-step explanation:

For the first part:

First we need to find out how many tablets of 12.5mg would we need per dose.

1 dose is 25 mg and the tablets are in 12.5 mg form.

1 dose = \dfrac{25mg}{12.5mg} = 2

That would mean you would need 2 tablets per dose.

Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours.  Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.

Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.

4 x 7 = 28 times

Lastly, you multiply the number of times a week by the number of tablets per dose.

28 times a week x 2 tablets = 56 tablets.

For the second part:

12.5 mg/5mL

The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.

\dfrac{12.5mg}{5mL} x \dfrac{2}{2} = \dfrac{25mg}{10mL}

This means that for every 25 mg, you will need to give 10mL.

Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.

10mL x 28 = 280mL

4 0
4 years ago
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clo
Anastaziya [24]

Answer:

(D) 180 degrees

Step-by-step explanation:

There are 12 hours on the clock.

For each 1 hour, the hour hand rotates = 360^0 \div 12=30^0

From 8 o'clock in the morning to 2 o'clock in the afternoon= 6 Hours

Therefore:

Number of degrees rotated by the hour hand = 6 X 30^0 =180^0

8 0
3 years ago
Can someone please help me
zalisa [80]
It is the first one because fist you reflect it to the right across the y axis, then you reflect it down across the x axis, and last but not least, you reflect it left across the y axis where it is now

hope this is helpful! :)
4 0
3 years ago
I do not know how to do this. Please help me
Cerrena [4.2K]
√(4²+4²)=4√2
√(4√2)²+4²=4√3

answer is 4√3
6 0
3 years ago
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