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Drupady [299]
3 years ago
6

The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard

Mathematics
1 answer:
vredina [299]3 years ago
6 0
9 because the square root of 81 is 9
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What is 12+ n means in verbal expression
Mandarinka [93]

the sum of 12 and a number/n

5 0
3 years ago
Find the coordinates of the circumcenter of triangle ABC with vertices A(1,4) B(1,2) and C(6,2)
Ray Of Light [21]
<span>(3.5, 3) is the circumcenter of triangle ABC. The circumcenter of a triangle is the intersection of the perpendicular bisectors of each side. All three of these perpendicular bisectors will intersect at the same point. So you have a nice self check to make sure your math is correct. Now let's calculate the equation for these bisectors. Line segment AB: Slope (4-2)/(1-1) = 2/0 = infinity. This line segment is perfectly vertical. So the bisector will be perfectly horizontal, and will pass through ((1+1)/2, (4+2)/2) = (2/2, 6/2) = (1,3). So the equation for this perpendicular bisector is y = 3. Line segment BC (2-2)/(6-1) = 0/5 = 0 This line segment is perfectly horizontal. So the bisector will be perfectly vertical, and will pass through ((1+6)/2,(2+2)/2) = (7/2, 4/2) = (3.5, 2) So the equation for this perpendicular bisector is x=3.5 So those two bisectors will intersect at point (3.5,3) which is the circumcenter of triangle ABC. Now let's do a cross check to make sure that's correct. Line segment AC Slope = (4-2)/(1-6) = 2/-5 = -2/5 The perpendicular will have slope 5/2 = 2.5. So the equation is of the form y = 2.5*x + b And will pass through the point ((1+6)/2, (4+2)/2) = (7/2, 6/2) = (3.5, 3) Plug in those coordinates and calculate b. y = 2.5x + b 3 = 2.5*3.5 + b 3 = 8.75 + b -5.75 = b So the equation for the 3rd bisector is y = 2.5x - 5.75 Now let's check if the intersection with this line against the other 2 works. Determining intersection between bisector of AC and AB y = 2.5x - 5.75 y = 3 3 = 2.5x - 5.75 8.75 = 2.5x 3.5 = x And we get the correct value. Now to check AC and BC y = 2.5x - 5.75 x = 3.5 y = 2.5*3.5 - 5.75 y = 8.75 - 5.75 y = 3 And we still get the correct intersection.</span>
6 0
3 years ago
Read 2 more answers
Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same p
VMariaS [17]

Answer:

b 3x +7y =59

Step-by-step explanation:

x is water balloons at 3 each and y is t-shirts at 7$ each.

7 0
3 years ago
I'm BEGGING you. plz help. I will mark you brainliest. I have an image attached with the question.
mariarad [96]

Answer:

start by mulitplying ten 5 times so 10x10x10x10x10=100,000. then multiply 100,000x3.8=380,000. and then times 300 so your ancwer is 114,000,000

Step-by-step explanation:hope it helps

3 0
3 years ago
A store bought a tent for $230 andmarked it up 65%. The store sells thetent with an 8% tax, what is the totalcost of the tent?
Len [333]

The cost for buying the tent is $230.

65% was increasesd for selling. Then the rate is

\begin{gathered} 230\times\frac{65}{100}=14.95 \\ So,\text{ the marked price=230+14.95=}244.95 \end{gathered}

The tax is 8%. So this is from the marked price.

\begin{gathered} \frac{8}{100}\times244.95=19.56 \\ 244.95-19.56=225.39 \end{gathered}

Therefore the total cost of the tent is $225.39.

3 0
1 year ago
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