MATHEMATICS MIDDLE SCHOOL

The figure shows a smaller square within a larger square. A point is chosen at random inside the larger square. What is the probability that this point is in the shaded area? Write the answer as a decimal.
The figure shows a smaller square within a larger square. - 1

Answers

Answer 1
Answer:

Given:

Side length of larger square = 10 in

Side length of smaller square = 5 in

To find:

The probability that this point is in the shaded area.

Solution:

Area of square formula =  side²

Area of larger square = 10²

                                     = 100 in²

Area of smaller square = 5²

                                     = 25 in²

Shaded area = Area of larger square - Area of smaller square

                      = 100 in² - 25 in²

Shaded area = 75 in²

$\text{P(point in shaded area)}=\frac{\text{Shaded area}}{\text{Total area}}

                                     $=(75)/(100)

                                     = 0.75

The probability of point in shaded area is 0.75.
Answer 2
Answer:

Answer:

0.75

Step-by-step explanation:

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.


Find the measure of x in the triangle. Show all your work.

Answers

Answer:

Therefore,

Measure of x is 50°.

Step-by-step explanation:

Given:

Let name the Triangle as ΔABC,as shown in the Figure below ,such that

AB ≅ AC    ..... triangle has 2 congruent sides

∠A = x   .....angle between the 2 congruent sides is labeled x

∠B = ∠C = 65°  .....angles opposite of the congruent sides

To Find:

measure of x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180\°

Substituting the values we get

x+65 + 65 = 180\n\nx=180-130=50\°

Therefore,

Measure of x is 50°.

What is the perimeter of the triangle? if there is 2.2 cm,1 5/6cm, and 3.25 cm A. 6 1/4 cm
B. 6 17/60 cm
C. 7 1/4 cm
D. 7 17/60 cm

Answers

To find the perimeter of a triangle you simply add up all the sides. Because your possible answers are in fractions, I would convert the decimal values into fractions.
2.2 becomes 2 & 1/5
3.25 becomes 3 &1/4
1 & 5/6 is already a fraction, so you can leave it as it is. To combine these you need to find a common denominator (here it is 60). *It may help to convert the mixed numbers to improper fractions to add them, which is what I did*
You get:
132/60 + 110/60 + 195/60
When you add all that up you get  437/60, which is 7&17/60, so D
I know that was long and wordy, but I hope I helped!!

Tabitha bought peppers that cost $0.79 per pound. She paid $3.95 for the peppers. How many pounds of peppers did she buy?

Answers

5 because $3.95 divided by $0.79 equals 5 pounds.
$3.95* (1 pound/ $0.79)= 5 pounds.

Tabitha bought 5 pounds of pepper~

mr. milo puts less than 3 books on each desk. there are 20 desks. write an inequality to represent the total number of books

Answers

The solution to this problem would be n<3*20 you can look up your question on yahoo it will appear there also.

Find missing height. Please help!!!

Answers