MATHEMATICS HIGH SCHOOL

Simplify 81.56 + n - 2.55.

Answers

Answer 1

Answer:

Answer:

$79.01 + n$

Step-by-step explanation:

we have

$81.56 + n - 2.55$

Group terms

$(81.56-2.55) + n$

remember that

$(81.56-2.55)=(81+0.56)-(2+0.55)$

$=(81-2)+(0.56-0.55)$

$=79+0.01$

$=79.01$

substitute in the expression

$79.01 + n$

Answer 2

Answer:

81.56 - 2.55 + n

79.01 + n... is your answer cause you cannot simplify it further.

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Determine whether the triangle is acute, right, or obtuse given the sides: 11, 14, 20

Answers

Answer:

317 < 400

The Sum of the squares of the smaller 2 sides (121 + 196 = 317) < longest side squared (400) So, it is an OBTUSE SCALENE TRIANGLE.

Source: http://www.1728.org/triantest.htm

Step-by-step explanation:

Given that (-4,3) and (6,-3) are opposites points on the circle (i.e diameter) write the equation of the circle

Answers

The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.

Find the area of the semicircle need help asapp

Answers

Answer:

2 pi

Step-by-step explanation:

The radius is 2

The area of a circle is

A = pi r^2

We have 1/2 of a circle so

1/2 A = 1/2 pi r^2

=1/2 pi ( 2)^2

=1/2 pi *4

= 2 pi

The diagram shows a triangle.The sizes of the angles, in degrees, arex 30Work out the value ofx.Diagram NOTaccurately drawn

Answers

X=25 degrees

2x+3x+x+30 = 180
6x+30 = 180
180 - 30 = 150
6x = 150
150/6 = 25
X = 25

Help me. I will mark brainliest

Answers

Check the picture below.

$20x+5y=110\implies 20x=110-5y\implies x=\cfrac{110-5y}{20} \n\n\n x=\cfrac{110}{20}-\cfrac{5y}{20}\implies x=\cfrac{11}{2}-\cfrac{y}{4} \n\n[-0.35em] ~\dotfill\n\n (20x + 5y) + 40 + (2x + 5y) = 180\implies \stackrel{(20x + 5y)}{110} + 40 + (2x + 5y) = 180 \n\n\n 150+2x+5y=180\implies 150+2\stackrel{ x }{\left( \cfrac{11}{2}-\cfrac{y}{4} \right)}+5y=180 \n\n\n 150+11-\cfrac{y}{2}+5y=180\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 150+11-\cfrac{y}{2}+5y \right)=2(180)}$

$300+22-y+10y=360\implies 322+9y=360\implies 9y=38 \implies \boxed{y=\cfrac{38}{9}} \n\n\n \stackrel{\textit{since we know that}}{x=\cfrac{11}{2}-\cfrac{y}{4}}\implies x=\cfrac{11}{2}-\cfrac{1}{4}y\implies x=\cfrac{11}{2}-\cfrac{1}{4}\cdot \cfrac{38}{9}\implies x=\cfrac{11}{2}-\cfrac{19}{18} \n\n\n x=\cfrac{99-19}{18}\implies x=\cfrac{80}{18}\implies \boxed{x=\cfrac{40}{9}}$

There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without returning the marbles back to the hat? (Write your answer as a fraction.)

Answers

You start out with (6 + 5 + 2) = 13 marbles in the hat.
You accidentally knock the hat off the table, they all roll out
onto the floor, and you have lost all of your marbles.
You pick them up, put them back in the hat, put the hat back
on the table, and you still have 13 marbles in the hat.

The probability of pulling an orange marble without looking is

   (number of orange ones) / (total number of marbles) = 2/13 .

Now there are only 12 marbles left in the hat. If the first draw
was successful, then there's only 1 orange marble left in there.
The probability of pulling that one without looking is

   (number of orange ones) / (total number of marbles) = 1/12 .

So the probability of BOTH events happening is

      ( 2/13 ) x ( 1/12 ) = 2/156 = 1/78 .

That's the answer in fraction form, like the question wants it.

That fraction is roughly equal to 1.28 % .

Lets look at the information we have-

6 brown marbles
5 blue marbles
2 orange marbles.

Question:-
What is the probability of picking two orange marbles in a row without returning the marbles back to the hat?
Solve:-

First add all the marbles:-

6 + 5 + 2 = 13

13 marbles in total.

Now lets write the 1st probability:-

2 orange
13 together
$(2)/(13)$

2nd probability:-

13 - 1 = 12

1 orange (left)
12 total (without putting back)
$(1)/(12)$

Hope i helped ya!! xD

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