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Evgen [1.6K]
3 years ago
14

Summer school math problem

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Hello!

4/18 = 6/27 ?

4 × 27 = 18 × 6

108 = 18 × 6

108 = 108 => 4/18 = 6/27

4/6 = 16/36 ?

4 × 36 = 6 × 16

144 = 6 × 16

144 ≠ 96 => 4/6 ≠ 16/36

3/4 = 9/12 ?

3 × 12 = 4 × 9

36 = 4 × 9

36 = 36 => 3/4 = 9/12

5/9 = 8/12 ?

5 × 12 = 9 × 8

60 = 9 × 8

60 ≠ 72 => 5/9 ≠ 8/12

Good luck! :)

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Find the area of the irregular figure.
PilotLPTM [1.2K]

Answer:

Option A. 432\ units^{2}

Step-by-step explanation:

we know that

The area of the irregular figure is equal to the area of two trapezoids

The area of trapezoid is equal to

A=\frac{1}{2}(b1+b2)h

where

b1,b2 are the parallel bases

h is the perpendicular distance between the parallel bases

<u>Find the left trapezoid area</u>

A1=\frac{1}{2}(4+25)(16)=232\ units^{2}

<u>Find the trapezoid area on the right</u>

A2=\frac{1}{2}(25+15)(10)=200\ units^{2}

The area of the irregular figure is

A=A1+A2=232\ units^{2}+200\ units^{2}=432\ units^{2}

6 0
3 years ago
Read 2 more answers
Help help help help help help
sammy [17]
Answer:

Explanation:

7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0

8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)

Thus, the common factor is x + 3
5 0
2 years ago
Which expression is equivalent to 2(3x+4)(x-3)
natali 33 [55]

Answer:

6x^2  − 10x − 24

Step-by-step explanation:

2(3x + 4)(x - 3)

(6x + 8)( x − 3)

6x^2  − 18x + 8x − 24

6x^2  − 10x − 24

7 0
2 years ago
Use the explicit formula an = a + (n-1). d to find the 500th term of the
nadezda [96]

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

8 0
3 years ago
in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cr
Ierofanga [76]

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

8 0
3 years ago
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