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2 years ago

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Mathematics

1 answer:

ruslelena [56]2 years ago

4 0

Cut up the shape into triangles, rectangles or trapezoids and calculate the individual areas.

Here,

Top triangle = (1*7)/2 = 3.5

Left triangle = (4*5)/2 = 10

Right trapezoid = (4+5)*3/2=13.5

So total area = 3.5+10+13.5=27

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The scores for a basketball team are 72, 84, 102, 73, 90 and 83. the scores for the next two matches bring the average up to 90.

aniked [119]

72 + 84 + 102 + 73 + 90 + x
OVER
9
EQUALS 90

6 0

3 years ago

Read 2 more answers

Are 12:14 and 60:70 equivalent ratios?<br><br> yes<br> no

NNADVOKAT [17]

Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

5 0

3 years ago

Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)

Nadusha1986 [10]

Answer:

Option 3 is correct that is $(6+s)(s^2-6s+36)$

Step-by-step explanation:

We have general formula for sum of cube which is

$a^3+b^3=(a+b)(a^2+b^2-ab)$

Here, we have a=s and b=6

on substituting the values in the formula we will get

$6^3+s^3=(6+s)(s^2+6^2-6s)$

After simplification we will get

$6^3+s^3=(6+s)(s^2+36-6s)$

After rearranging the terms we will get

$6^3+s^3=(6+s)(s^2-6s+36)$ which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is $(6+s)(s^2-6s+36)$

4 0

3 years ago

Read 2 more answers

If there are 32 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Flauer [41]

Answer:

1) 1:2

2) 2:4

3) 4:8

4) 8:16

5) 16:32

4 0

1 year ago

Read 2 more answers

Solve -2(2x+5) -3(x-1)

OLEGan [10]

<h2>Hello!</h2>

The answer is:

$-2(2x+5)-3(x-1)=-7x-7\\$

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

$a(b+c)=ab+ac$

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

$3x+5x+x^{2}=8x+x^{2}$

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

$-2(2x+5)-3(x-1)$

Then, solving we have:

$-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7$

Hence, we have that the answer is:

$-2(2x+5)-3(x-1)=-7x-7\\$

Have a nice day!

8 0

3 years ago