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3 years ago

What is the area, in cm2, of the smallest square that will contain a circle of radius 4 cm?

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

D=2r=2·4=8 cm
A = L² (L=d)
A = 8² = 64 cm²

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the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times t

inysia [295]

$\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.$

$\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.$

$\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.$

$\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.$

$\left \{ {{35x =125} \atop {6x =285}} \right.$

$41x = 410$

$\boxed{x=10}$

Replace the value of "x" in the second equation (II) to find the value of "y", thus:
 $2x + 5y=95$
$2*(10)+5y = 95$
$20+5y=95$
$5y=95-20$
$5y=75$
$y = \frac{75}{5}$
$\boxed{y=15}$

The numbers (10,15)

5 0

3 years ago

A map has a scale of 1 centimeter = 40 kilometer. If the distance between Fort Worth and El Paso is 21.7 cm on a map , how many

ryzh [129]

Aloha!
1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.
To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
I hope this helps!
Adios!:)

5 0

3 years ago

The distance from Earth to the sun is about 9.3 × 10 7th power miles.

AURORKA [14]

Answer:

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

Solution:

Given, the distance from Earth to the sun is about $9.3 \times 10^{7} \mathrm{miles}$

The distance from Earth to the Moon is about $2.4 \times 10^{5} \mathrm{miles}$

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

$\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5$

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0

3 years ago

Find the value of x in the figure

MA_775_DIABLO [31]

Answer:

x = 100

Step-by-step explanation:

$57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}$

6 0

3 years ago

Read 2 more answers

an arts academy requires there to be 6 teachers for every 132 students and 3 tutors for every 27 students . how many students do

Nina [5.8K]

Answer:

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

4 0

2 years ago