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s344n2d4d5 [400]
4 years ago
12

Break apart the addends to find the sum second grade

Mathematics
1 answer:
Leviafan [203]4 years ago
4 0
18+21=39

33+49=82

Just add them together

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Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?
Ad libitum [116K]

9514 1404 393

Answer:

  3

Step-by-step explanation:

From a given vertex, two of the vertices are adjacent, so a "diagonal" to those will not form a triangle. The number of diagonals that can be drawn is 3 fewer than the number of sides. The number of triangles is 1 more than the number of diagonals.

For a 5-sided figure, 2 diagonals can be drawn from a common vertex.

  3 triangles will be formed.

8 0
3 years ago
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t
Sever21 [200]

Answer:

P(A\ n\ B) = 0.557

Step-by-step explanation:

Given

P(A) = 0.78

P(B) = 0.65

P(A\ u\ B) = 0.873

Required

Determine P(A\ n\ B)

From laws of probability, we have:

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

Substitute in values

P(A\ n\ B) = 0.78 + 0.65 - 0.873

P(A\ n\ B) = 0.557

Hence, P(A\ n\ B)<em> is calculated to be 0.557</em>

8 0
3 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
What is y= 29/5x as a rate of change
mylen [45]
The rate of change is -29/5x^2
8 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
olya-2409 [2.1K]

Answer:

-10

Step-by-step explanation:

-(x-5) ^2+25

-x+5^2+25

-5 -5

-x^2+20

-2x+20

---- ----

-2 -2

x=-10

// have a great day //

3 0
3 years ago
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