What is the radius of a circle circumscribed about a rectangle with a length of 8 centimeters and a width of 6 centimeters?

Answers

Answer 1

Answer: if we think about it, the touching parts of the rectangle and circle are the corners

the distance between opposite corners is the diameter of the circle
the radius would be 1/2 diameter
so we just use the pythagorean theorem to find the legnth of the diagonal and thus the diameter then halve that to get radtius

a^2+b^2=c^2
c=hypotonuse
a and b are legs

8^2+6^2=c^2
64+36=c^2
100=c^2
10=c

10=diameter
10/2=5=radis

5 centimeters

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Write y= -3/4 x-6 in standard form using integers.

Answers

Answer:

3x + 4y = -24.

Step-by-step explanation:

y= -3/4 x-6

Multiply through by 4:

4y = -3x - 24

3x + 4y = -24.

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select THREE options. (1) –2
(2) 0
(3) 5
(4) 8
(5) 10

Answers

The possible values of 20-pound bags of sand will be;

⇒ 0, 5, 8

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A hot air balloon can hold up to 300 pounds of weight.

And, The balloon's pilot weighs 140 pounds.

Now,

Let number of possible values of 20-pound bags of sand = b

So, We can formulate;

⇒ 20b + 140 ≤ 300

Solve for b as;

⇒ 20b ≤ 300 - 140

⇒ 20b ≤ 160

⇒ b ≤ 8

Thus, The possible values of 20-pound bags of sand are;

⇒ 0, 5, 8

Learn more about the inequality visit:

brainly.com/question/13777972

#SPJ2

Answer:

Step-by-step explanation:

You subtract 300 from 140 to get 160 because the pilot adds the weight in already. Once you get 160 divides it by 20 to get 8. Each bag weighs 20 pounds, every bag you add will decrease the total the air balloon can carry, so anything 8 and less is good. (4), (5), and (0) should be your answer.

HELP PLEASE ASAP

thank you!!!

Answers

Answer:

y=3/4x-4.5

Step-by-step explanation:

know that -4.5 is the intercept

and you can calculate the slope by seeing the rise/run between the two marked points

A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.a.7
b.5
c.19
d.17
e.11
f.9

Answers

$Condition\ for\ existing\ triangle\n\n a,b,c- sides\ of\ triangle\n\n a+b>c\na+c>b\nb+c>a\n 5+12=17\n\n a)\ 7<5+12,\ 5+7>12 \ , 7+12>5 \n b)\ 5<5+12,\ \ 5+5\not>12\nc)19\not<5+12\nd)17\not<5+12\ne)11<12+5,\ \ 11+5>12,\ 11+12>5 \nf)9<12+5,\ \9+5>12\ \ 12+9>5 \n\Third \side\ can\ be\ a,e,f$

I need help again LOLLL⠀⠀⠀⠀

Answers

Answer:

double the pretzles so 2 2/4

Step-by-step explanation:

Samuel's Car Service will charge a flat travel fee of $4.75 for anyone making a trip. They charge an additional set rate of $1.50 per mile that is traveled. What is an equation that represents the charges?1) y=1.5x+1.5
2) y=4.75x+4.75
3) y=1.5x+4.75
4) y=4.75x+1.5

Answers

D. You have 4.75 flat and 1.5 every time you are driving another mile.

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