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dimulka [17.4K]
2 years ago
14

What is the probability that a point chosen at random in the rectangle is also in the blue triangle? A triangle inside of a rect

angle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches. One-half Four-fifths 1 2
Mathematics
2 answers:
Mandarinka [93]2 years ago
6 0

Answer:

1/2

Step-by-step explanation:

just took the test

Oduvanchick [21]2 years ago
5 0

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

..........equation

So, this is the equation for s : Answer

Hope it will help :)

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Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are
Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

8 0
2 years ago
LESSON 1 SESSION 1
denpristay [2]

Answer:

  • <em>Between which two tens does it fall?</em><em> </em><u>Between 25 and 26 tens</u>

<em><u /></em>

  • <em>Between which two hundreds does it fall?</em> <u>Between 2 and 3 hundreds</u>

Explanation:

The place-value chart is:

Hundreds         Tens      Ones

       2                   5             3

<em><u /></em>

<em><u>a)  Between which two tens does it fall? </u></em>

Using the place values you can write 253 = 25 × 10 + 3, i.e. 25 tens and 3 ones.

From that you can write:

  • 250 < 253 < 260
  • 250 = 25 × 10 = 25 tens
  • 260 = 26 × 10 = 26 tens

Then, you conclude that 253 is between 25 and 26 tens.

<u><em>b) Between which two hundreds does it fall?</em></u>

Using the same reasoning:

  • 253 = 2 × 100 + 5 × 10 + 3 = 253

  • 200 < 253 < 300
  • 200 = 2 hundreds
  • 300 = 3 hundreds

Conclusion: 253 is between 2 hundreds and 3 hundreds.

3 0
2 years ago
The perimeter of a rectangular flower garden is 80 m and its area is 375 m2. Find the length of the garden.
Umnica [9.8K]
The answer is 25m.
Height = 15
Length = 25
Height+lengthx2= 80(perimeter)
Height x length=375m2(area)
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If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=
Anarel [89]
Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!
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Bruce overdrew his checking account by $19, for which his bank charged him a $35 overdraft fee. If he deposits $60, what will hi
eimsori [14]
He overdrew his account by $19, so he is at $-19. His bank charges $35 fee. -19 - 35 = -54. He deposits $60, so 60 + (-54) = 6. He has $6 as his ending balance.
3 0
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